structures, indexing mechanisms, and optimization techniques. DBMS 1) What do you understand by a data model? Explain • Abstraction Level: It is a lower-level abstraction that specifies how data is stored on disk or in memory, taking into consideration the performance and efficiency of data retrieval. • Audience: Internal models are designed for database administrators, system architects, and developers who need to optimize and manage the physical storage and retrieval of data. • Example: SQL Data Definition Language (DDL) statements, which define tables, indexes, and constraints in a relational database, are part of the internal model. the difference between conceptual data model and the internal model. Ans. Understanding Data Model: A data model is a conceptual representation and abstraction of the structure of a database. It defines how data is stored, organized, and manipulated within a database system. Data models help in understanding the relationships between different data elements and serve as a blueprint for designing and implementing databases. They provide a way to visually represent data and its relationships, allowing for effective communication between database designers, developers, and stakeholders. 2) By What are the main steps of database design? Explain them in brief. Difference between Conceptual Data Model and Internal Model: Ans. The database design process involves several key steps to ensure the creation of an efficient, organized, and well-structured database system. Here are the main steps of database design explained briefly: 1. Conceptual Data Model: • • Purpose: The conceptual data model focuses on representing high-level concepts and relationships between entities in the real world. It aims to capture the essential business rules and requirements without being concerned with how data is physically stored or implemented. 1. Requirement Analysis: • Abstraction Level: It is an abstraction at the highest level, emphasizing clarity and simplicity in representing entities, attributes, and relationships. • Audience: Conceptual data models are primarily designed for business stakeholders, users, and analysts who want to understand the structure and meaning of the data in the organization. • Example: An entity-relationship diagram (ERD) is a common tool used for creating conceptual data models. It represents entities as well as relationships between them. 2. Conceptual Design: • Description: The conceptual design phase involves creating a high-level conceptual model that represents the essential entities, relationships, and attributes in the system. Techniques like Entity-Relationship Diagrams (ERD) are commonly used. This step focuses on the overall structure of the database without concern for implementation details. 3. Normalization: 2. Internal Model: • Description: In this initial phase, the database designer collaborates with stakeholders to gather and understand the requirements of the database system. This includes identifying the information needs, user expectations, and business rules that the database must adhere to. • Purpose: The internal model, also known as the physical data model, deals with how data is actually stored and accessed in a database system. It is concerned with the implementation details, such as data storage [1] Description: Normalization is the process of organizing data to eliminate redundancy and dependency issues. It involves decomposing tables into smaller, related tables to minimize data redundancy and improve data integrity. Normal forms, such as First Normal Form (1NF) to Fifth Normal Form (5NF), are applied to achieve a well-structured database. Ans. Entity Integrity Constraint: Entity integrity is a fundamental concept in database design, and it is enforced through the use of entity integrity constraints. The primary goal of entity integrity is to ensure that each row (record) in a database table is uniquely identifiable. In other words, it ensures that no primary key value is NULL, and each record can be uniquely identified by its primary key. 4. Data Model Refinement: • Description: Building on the conceptual design, the data model is refined to address normalization concerns and improve overall design efficiency. This step may involve adjusting entities, attributes, and relationships based on normalization results and additional analysis. Key points about entity integrity constraints: 1. Primary Key Constraint: 5. Physical Design: • Description: In the physical design phase, the conceptual model is translated into a physical model that defines how data will be stored and accessed in the database system. Decisions regarding data types, indexing, partitioning, and storage structures are made to optimize performance. • A primary key is a column or a set of columns in a table that uniquely identifies each record. • The primary key must have a unique value for each record, and it cannot contain NULL values. 2. Uniqueness and Identification: • The primary key enforces the uniqueness of records, making each record identifiable by its primary key value. • Ensures that there are no duplicate records based on the primary key. 6. Implementation: • Description: The implementation phase involves translating the physical design into a database management system (DBMS) specific language or script. This includes creating tables, defining constraints, specifying indexes, and setting up other necessary elements within the chosen DBMS. 3. Enforcement: 7. Testing and Evaluation: • Description: The designed database is rigorously tested to ensure it meets the specified requirements and functions as intended. Testing involves validating data integrity, accuracy, and performance. Feedback from users and stakeholders is considered to refine the design further. • Implemented using the PRIMARY KEY constraint in SQL. • The primary key is typically defined when creating a table and is used to uniquely identify records. Referential Integrity Constraint: 8. Deployment and Maintenance: Referential integrity is another crucial concept in database design, and it is enforced through referential integrity constraints. This type of constraint ensures the consistency and accuracy of relationships between tables in a relational database. • Key points about referential integrity constraints: Description: Once testing is successful, the database is deployed for actual use. Continuous monitoring and maintenance activities, including backups, security updates, and performance tuning, are carried out to ensure the ongoing reliability and efficiency of the database system. 1. Foreign Key Constraint: 3) Explain the entity integrity and referential integrity constraints. How they are use full in database Design? • A foreign key is a column or a set of columns in a table that refers to the primary key in another table. • It establishes a link between two tables, creating a relationship. 2. Relationship Consistency: [2] • • Ans. Insertion Anomalies: Ensures that relationships between tables are consistent and valid. Insertion anomalies occur when it is challenging to add data to the database without violating the integrity constraints. There are three main types of insertion anomalies: The values in the foreign key column must match the values in the referenced primary key column. 1. Incomplete Information: 3. Enforcement: • Implemented using the FOREIGN KEY constraint in SQL. • Specifies that the values in the foreign key column must match the values in the primary key column of the referenced table. • CourseID | CourseName Usefulness in Database Design: 1. Data Integrity: • Entity integrity constraints ensure that each record is uniquely identifiable, maintaining the integrity of the data at the individual record level. • Referential integrity constraints ensure that relationships between tables are consistent, preventing orphaned or dangling records. 1 | Database Design | Smith 2 | Algorithms CourseID | CourseName | Johnson | InstructorName 1 | Database Design | Smith 2 | Algorithms | Johnson 3 | Data Mining | (unknown) Referential integrity constraints ensure that relationships between tables are consistent, reflecting the real-world relationships accurately. This incomplete information can lead to insertion anomalies. Redundant Data: • 3. Avoiding Orphans and Dangling References: • | InstructorName If we want to insert a new course but don't yet know the instructor, we can't insert the record without violating the integrity constraint. 2. Consistency: • Suppose we have a table to store information about courses and their instructors. The table has columns for CourseID, CourseName, and InstructorName. Referential integrity constraints prevent the creation of orphaned records (records in a child table without a corresponding parent record) or dangling references (references to non-existent records). If the same information is repeated for multiple records, it can lead to redundancy and inconsistencies. CourseID | CourseName | InstructorName 1 | Database Design | Smith 2 | Algorithms | Johnson 4. Simplified Querying: 3 | Data Mining | Smith • In this example, if an instructor changes, we need to update multiple records, leading to potential inconsistencies. Well-defined relationships through foreign keys simplify querying and retrieval of related data from multiple tables. Inability to Add Certain Information: 5. Ease of Maintenance: • • Constraints contribute to the maintainability of the database by providing a structured way to define and enforce rules on the data. The structure of the table might restrict the ability to add certain types of information. CourseID | CourseName 4) Explain with the help of examples, the concept of insertion anomalies and deletion anomalies [3] | InstructorName 1 | Database Design | Smith 2 | Algorithms | Johnson If we want to add a new instructor without assigning them to a course, it may not be possible in the current structure. CourseID | CourseName Ans. To determine the number of redundant functional dependencies (FDs) in the given set πΉ = {π΄ → π΅, π΅πΆ → π·, π· → π΅πΆ, π·πΈ → ∅}, we can use the Armstrong's axioms closure computation. The number of redundant FDs is the difference between the total number of FDs and the number of essential FDs. Essential FDs are those that cannot be derived from others. | InstructorName 1 | Database Design | Smith 2 | Algorithms | Johnson 3 | (unknown) | Brown This inability to add an instructor without a course creates an insertion anomaly. Armstrong's Axioms: 1. Reflexivity: If X is a set of attributes and Y is a subset of X, then Y→X. 2. Augmentation: If X→Y, then XZ→YZ for any Z. 3. Transitivity: If X→Y and Y→Z, then X→Z. Deletion Anomalies: Deletion anomalies occur when removing data from the database results in unintended loss of information. There are three main types of deletion anomalies: Essential Steps: 1. Loss of Entire Data: • 1. Start with the given FDs: F={A→B,BC→D,D→BC,DE→∅} 2. Find the closure of each attribute set: o π¨+= {π΄, π΅} o π΅πΆ+= {π΅, πΆ, π·} o π·+= {π·, π΅, πΆ} o π·πΈ+= {π·, πΈ, π΅, πΆ} 3. Identify the essential FDs: o A→B is essential. o BC→D is essential. o D→BC is essential. o DE→∅ is essential. Suppose we have a table that stores information about instructors and the courses they teach. InstructorID | InstructorName | CourseID |CourseName 1 | Smith | 1 | Database Desn 2 | Johnson | 2 | Algorithms If an instructor teaches only one course and decides not to teach anymore, deleting the record results in the loss of both the instructor and the course information. Conclusion: There are no redundant FDs in the given set FF. All the FDs are essential and cannot be derived from others. The closure computation confirms that each FD provides additional information. Loss of Specific Information: • Deleting a record can result in the loss of specific information, such as a course taught by an instructor. 6) What is the goal of query optimization? Why is optimization important? InstructorID|InstructorName|CourseID | CourseName 1 | Smith | 1 | Database Desn 1 | Smith | 2 | Algorithms If we delete the record for the course "Algorithms," we lose information about that specific course taught by the instructor. Ans. The goal of query optimization in the context of database management systems is to improve the efficiency and performance of queries by finding the most efficient execution plan for a given SQL query. The optimization process aims to minimize the time and resources required to retrieve the desired results while considering various factors such as indexes, join strategies, and access methods. Importance of Query Optimization: 5) Given R with FD set F = (A→B, BC→D, D→BC, 1. Improved Performance: DE→Ø} Find the number of redundant FDs in F. • [4] Query optimization helps in generating execution plans that minimize the overall query execution time. This is crucial for systems dealing with large datasets and complex queries. 9. Query Rewrite: • 2. Resource Utilization: • Optimized queries make efficient use of system resources, including CPU, memory, and storage. This is particularly important in largescale database systems where resource consumption directly impacts the overall system performance. Some optimization techniques involve rewriting queries to an equivalent but more efficient form. This can include transforming subqueries, simplifying expressions, or using specific syntax to guide the optimizer. 7) What is normalization? Explain the first and second normal forms using appropriate example. 3. Reduced Response Time: Ans. • Normalization is a database design process that involves organizing tables and their relationships to reduce data redundancy and improve data integrity. The normalization process consists of several normal forms, each building on the previous one, with the goal of systematically organizing data to avoid certain types of anomalies and redundancies. By choosing the most efficient execution plan, query optimization reduces the response time for users and applications, leading to a more responsive and user-friendly system. 4. Cost Reduction: • Optimized queries reduce the workload on the database server, leading to lower operational costs. This is important in terms of hardware requirements, energy consumption, and maintenance costs. First Normal Form (1NF): A relation is in First Normal Form (1NF) if it meets the following criteria: Atomic Values: Each cell in the table must contain only atomic (indivisible) values, and these values must be of the same data type. Unique Column Names: Each column in the table must have a unique name. Ordering of Rows and Columns: The order in which data is stored does not matter, and there is no significance to the order of columns. Example: Consider the following unnormalized table that violates 1NF: 5. Concurrency and Scalability: • Efficient queries contribute to better system concurrency and scalability. With optimized queries, multiple users can simultaneously access and manipulate data without significant performance degradation. 6. Adaptability to Changing Workloads: • Query optimization allows database systems to adapt to varying workloads. By dynamically adjusting execution plans based on current system conditions, the database can handle changing query patterns and load. StudentID | Courses 7. Index Utilization: 101 | Math, Physics • 102 | Chemistry, Biology Optimization involves selecting appropriate indexes to speed up data retrieval. Efficient use of indexes reduces the number of disk I/O operations, leading to faster query execution. This table violates 1NF because the "Courses" column contains multiple values (non-atomic values) separated by commas. To bring it into 1NF, we can split the table into two: 8. Join Strategies: • Optimization involves choosing the most efficient join strategies, such as nested loop joins, hash joins, or merge joins. The selection depends on the size of tables, available indexes, and system resources. StudentID | Course [5] 101 | Math 101 | Physics 102 | Chemistry 102 | Biology Now, each cell contains atomic values, and the "Courses" column has been replaced with a new "Course" column, adhering to 1NF. Second Normal Form (2NF): A relation is in Second Normal Form (2NF) if it is already in 1NF and if all non-prime attributes (attributes not part of any candidate key) are fully functionally dependent on the entire primary key. Example: Consider the following table: EmployeeID | ProjectID | ProjectName | EmployeeName 1 | 101 | ProjectA | Alice 2 | 102 | ProjectB | Bob 3 | 101 | ProjectA | Carol In this table, the composite key is {EmployeeID, ProjectID}, and ProjectName is dependent only on ProjectID, while EmployeeName is dependent only on EmployeeID. 1. Active (A): To bring it into 2NF, we split the table into two: • ProjectID | ProjectName The initial state where the transaction is actively executing its operations. 101 | ProjectA 2. Partially Committed (PC): 102 | ProjectB • EmployeeID | ProjectID | EmployeeName 1 | 101 | Alice 2 | 102 | Bob 3 | 101 | Carol The transaction has completed its execution successfully, and it is about to be committed. However, the system has not yet guaranteed the permanency of changes. 3. Committed (C): • 8) During its execution, a transaction passes through The transaction has completed successfully, and its changes are now permanent and visible to other transactions. 4. Failed (F): several states, until it finally commits or aborts. List all possible sequences of states through which a transaction may pass. Explain why each state transition may occur. OR • Define different states of a Transaction with proper diagram? The transaction has encountered an error during its execution, making it impossible to complete successfully. It will be rolled back to undo any changes made. 5. Aborted (Abo): • Ans. In a database management system, a transaction goes through various states during its execution. The typical states that a transaction can pass through include: The transaction has been rolled back, and any changes made during its execution have been undone. The database is brought back to its state before the transaction started. 6. Terminated (T): [6] • • The transaction has either committed or aborted, and it is no longer actively participating in the execution. Now, let's explore the possible sequences of states and the reasons for each state transition: 8. Failed → Terminated (F → T): 1. Active → Committed (A → C): • • The transaction has executed all its operations successfully, and it is ready to make its changes permanent. This transition occurs when the transaction issues a commit statement, and the system ensures that it can be committed. and relational calculus. Ans. The transaction has encountered an error or violation of a constraint during its execution, making it impossible to proceed. The system detects the failure and transitions the transaction to the failed state. Basis of Comparison Language Type Relational Calculus Relational Calculus is a Declarative (nonprocedural) language. Procedure Relational Relational Algebra means Calculus how to obtain means what the result. result we have to obtain. Order In Relational In Relational Algebra, the Calculus, the order is order is not specified in specified. which the operations have to be performed. Domain Relational Relation Algebra is Calculus can independent be domainof the domain. dependent because of domain relational calculus. Programming Relational Relational language Algebra is Calculus is not nearer to a nearer to programming programming language. language but to natural language. 3. Failed → Aborted (F → Abo): • The system decides to abort the transaction due to a failure. The transaction is rolled back to undo any changes made, bringing the database back to its state before the transaction started. 4. Partially Committed → Committed (PC → C): • The system has successfully committed the transaction's changes after ensuring that it is safe to do so. The transition occurs after the system has guaranteed the permanency of changes. 5. Partially Committed → Aborted (PC → Abo): • An error or failure occurs after the transaction has been partially committed. The system decides to abort the transaction, undoing any changes made during the partial commitment. 6. Active → Aborted (A → Abo): • After the transaction has been rolled back, it enters the terminated state. 9) Explain the difference between relational algebra 2. Active → Failed (A → F): • The transaction has completed its execution, and it is either committed or aborted. It enters the terminated state as it is no longer actively participating in the execution. The transaction or the system decides to abort the transaction for some reason, possibly due to a user-initiated rollback or a detected issue during execution. 7. Active → Terminated (A → T): [7] Relational Algebra It is a Procedural language. Inclusion in SQL The SQL includes only some features from the relational algebra. 3. Persistence SQL is based to a greater extent on the tuple relational calculus. ODBMS provides a mechanism for the persistent storage of objects, allowing data to survive beyond the lifespan of the application. Advantages: • Data Integrity: Persistent storage ensures that data is preserved even if the application is shut down or the system is restarted, maintaining data integrity. • Efficient Storage: ODBMS optimizes storage for object-oriented structures, reducing the need for complex mappings between objects and relational tables. 10) Discuss 4 basic features of ODBMS. What are the advantages? Ans. Here are four basic features of ODBMS and their associated advantages: 1. Object-Oriented Data Model: 4. Concurrency Control: ODBMS uses an object-oriented data model, where data is represented as objects, and these objects can encapsulate both data and the operations that can be performed on the data. ODBMS incorporates mechanisms for managing concurrent access to the database by multiple users or processes. Advantages: Advantages: • Encapsulation: Objects encapsulate both data and behavior, promoting a more modular and maintainable code structure. • Inheritance: Object-oriented models support inheritance, allowing the creation of hierarchies and reuse of code, leading to more efficient and scalable system development. • Polymorphism: ODBMS supports polymorphism, enabling the use of different object types interchangeably, enhancing flexibility and code reusability. • Concurrency Management: ODBMS supports concurrent access, allowing multiple users to read and write data simultaneously without compromising consistency. • Transaction Support: ODBMS provides transaction management features to ensure the atomicity, consistency, isolation, and durability (ACID properties) of database transactions. Advantages of ODBMS in General: • Improved Developer Productivity: The use of an object-oriented data model simplifies the mapping between the application code and the database, reducing development time and effort. • Enhanced Data Modeling: ODBMS facilitates a more natural and intuitive representation of complex relationships and structures, making it easier to model real-world scenarios. • Increased Flexibility: The support for complex data types and object-oriented features enhances the flexibility of data modeling, allowing developers to adapt to changing requirements more easily. • Reduced Impedance Mismatch: ODBMS minimizes the impedance mismatch between the object-oriented programming paradigm 2. Complex Data Types: ODBMS allows the use of complex data types, such as arrays, lists, and structures, within objects, providing more flexibility in modeling real-world entities and relationships. Advantages: • • Rich Data Modeling: Complex data types allow for a more accurate representation of realworld entities and relationships, leading to a more intuitive and natural data model. Improved Query Capabilities: The ability to use complex data types in queries enables more powerful and expressive query languages for retrieving and manipulating data. [8] used in applications and the relational model used in traditional databases, leading to more seamless integration. Purpose: The logical schema represents the overall logical structure of the entire database as seen by the database administrator or designer. It provides an abstract representation of the data model, including entities, relationships, constraints, and the meaning of the data. 11) Explain the three-schema architecture of DBMS? Components: Ans. • Entity-Relationship Diagrams (ERDs): Illustrates the entities, relationships, and attributes in the database, offering a high-level view of the data model. • Integrity Constraints: Defines rules and constraints that ensure the accuracy and consistency of the data across the database. 3. Physical Schema: Purpose: The physical schema describes how data is stored, indexed, and retrieved at the physical level. It represents the actual implementation details of the database on the underlying hardware, such as storage structures, indexing mechanisms, and access paths. Components: The three-schema architecture is a conceptual framework that was proposed by the database community as a means to separate the user applications from the physical database. It divides the database system into three components, or "schemas," each serving a specific purpose. This architecture provides a clear and modular structure for designing database systems. The three schemas are as follows: • Indexes: Specifies the indexes created on tables to optimize data retrieval. • Storage Structures: Defines how data is stored on disk, including details such as file organization, clustering, and partitioning. • Access Paths: Describes the methods used to access and retrieve data efficiently. 1. User Schema (External Schema): Purpose: The user schema represents the way data is viewed and accessed by individual users or applications. It defines the logical structure and organization of data as seen by a specific user or group of users. 12) Give an example of a weak entity set? Explain why it is weak with an ER diagram. Ans. A weak entity set is an entity set that does not have a primary key attribute that uniquely identifies its entities independently of other entities. It depends on another entity, called the "owner" or "parent" entity, for identification. The existence of a weak entity is meaningful only in the context of the owning entity. The relationship between a weak entity set and its owning entity set is typically represented by a "strong" or "identifying" relationship. Components: • User Views: Describes how data appears to specific users or applications. It includes subsets of data, specific fields, and customized structures tailored to meet the requirements of individual user perspectives. • User Operations: Specifies the operations and transactions that users can perform on the data. Let's consider an example of a weak entity set: 2. Logical Schema (Conceptual Schema): [9] that a Dependent entity is uniquely identified within the context of a specific Professor entity. 13) What do you mean by the Integrity constraints? Explain each with the proper example? Ans. Integrity constraints are rules that are defined on a database schema to ensure the accuracy, consistency, and reliability of the data stored in a relational database. These constraints help maintain data integrity and prevent the entry of inconsistent or invalid data. There are several types of integrity constraints, each serving a specific purpose. Here are the main types of integrity constraints, along with explanations and examples: • Strong Entity: Professor • • 1.Entity Integrity Constraint: Definition: Ensures that each row in a table has a unique and non-null primary key value. Example: In a "Students" table, the "StudentID" column is the primary key. The entity integrity constraint ensures that each student has a unique identifier (StudentID) and that the identifier cannot be null. Attributes: ID (Primary Key), Name, Salary, City CREATE TABLE Students ( StudentID INT PRIMARY KEY, FirstName VARCHAR(50), LastName VARCHAR(50), CONSTRAINT PK_Students PRIMARY KEY (StudentID) ); 2.Referential Integrity Constraint: Weak Entity: Dependent • Attributes: Name (Partial Key), DOB, Relation • Dependent on Professor entity for identification. Definition: Ensures that relationships between tables remain consistent. It requires that foreign key values in a child table match primary key values in the parent table. Example: In a "Orders" table, the "CustomerID" column is a foreign key referencing the "Customers" table's primary key. Explaination: In this scenario, the Professor entity is considered a strong entity with the primary key attribute "ID." On the other hand, the Dependent entity is a weak entity because it does not have a primary key that uniquely identifies it independently of the Professor entity. The "Name" attribute in the Dependent entity is a partial key, meaning it is not sufficient on its own to uniquely identify a Dependent. • The "Professor" entity has a primary key attribute "ID." • The "Dependent" entity is a weak entity set with the partial key attribute "Name" and attributes like DOB and Relation. • The "Dependent" entity has a foreign key attribute "ProfessorID," which establishes an identifying relationship with the "Professor" entity. This means CREATE TABLE Orders ( OrderID INT PRIMARY KEY, CustomerID INT, OrderDate DATE, CONSTRAINT FK_Orders_Customers FOREIGN KEY (CustomerID) REFERENCES Customers(CustomerID) ); 3.Domain Integrity Constraint: Definition: Enforces valid data types, formats, and ranges for columns. Example: Ensuring that a "BirthDate" column only contains valid dates. [10] CREATE TABLE Employees ( EmployeeID INT PRIMARY KEY, FirstName VARCHAR(50), LastName VARCHAR(50), BirthDate DATE CHECK (BirthDate >= '1900-01-01' AND BirthDate <= CURRENT_DATE) ); • Axiom: If X → Y and Y → Z, then X → Z. • Explanation: If X functionally determines Y, and Y functionally determines Z, then X functionally determines Z. This rule allows us to derive new functional dependencies by transitive relationships. Example: Consider a set of functional dependencies: 1. A → B 4.Key Constraint: Definition: Ensures that all values in a column or a combination of columns are unique. Example: Ensuring that each email address in a "Users" table is unique. 2. BC → D 3. D → E Applying Armstrong's axioms: 1. Reflexivity (Reflexivity Rule): CREATE TABLE Users ( UserID INT PRIMARY KEY, Email VARCHAR(255) UNIQUE, Password VARCHAR(50) ); • 2. Augmentation (Augmentation Rule): 14) Explain the Armstrong's axioms for Functional dependencies? Explanation: This axiom states that if a set of attributes Y is functionally determined by another set X, and Y is a subset of X, then X functionally determines Y. Axiom: If X → Y, then XZ → YZ for any set of attributes Z. • Explanation: If a set of attributes X functionally determines another set Y, then adding any set of attributes Z to both X and Y will still result in X functionally determining Y. If BC → D, then BCD → DCD • If A → B and B → C, then A → C • If A → B and BC → D, then A → D Ans. To normalize a relation RR up to Boyce-Codd Normal Form (BCNF), we need to follow a step-bystep process: Given Relation π (π΄, π΅, πΆ, π·, πΈ, πΉ) with Functional Dependencies (FDs): {π¨πͺ, π©π¬, π¨π©πͺ, πͺπ«, π¬ → π} Step 1: Identify Candidate Keys 2. Augmentation Axiom (Augmentation Rule): • • Given R (A, B, C, D, E, F) with FDs {AC, BE, ABC, CD, E→F} Normalize R up to BCNF. 1. Reflexivity Axiom (Reflexivity Rule): • If A → B, then AC → BC 15) Here are the three main Armstrong's axioms: Axiom: If Y is a subset of X, then X → Y. • 3. Transitivity (Transitivity Rule): Ans. Armstrong's axioms are a set of inference rules that form the foundation for reasoning about functional dependencies in a relational database. These axioms were introduced by William W. Armstrong and provide a systematic way to derive new functional dependencies from given ones. The axioms help in understanding and manipulating the closure of sets of functional dependencies. • A → A (Reflexivity of A → A) Determine the closure of attribute sets to find candidate keys. Closure of {A}+={A,C,D,F} Closure of {B}+={B,E,F} Both {A} and {B} are candidate keys. 3. Transitivity Axiom (Transitivity Rule): Step 2: Check for BCNF Violations [11] Example: Check if there are any FDs where the left side is not a superkey. ABC violates BCNF as {π¨}+= {π¨, πͺ, π«, π} does not contain B Step 3: Decompose the Relation • Decompose the relation to remove the BCNF violation. StudentID | Course | Instructor 1 | Math | Mr. A 1 | Physics | Mr. B 2 | Chemistry | Mr. C 2 | Physics | Mr. B R1(A,B,C,D,F),R2(B,E) In this example, the MVD StudentID β Course indicates that each student can be enrolled in multiple courses. Step 4: Check Decomposed Relations Fourth Normal Form (4NF): • Check if the decomposed relations are in BCNF. A relation is in 4NF if it is in Boyce-Codd Normal Form (BCNF) and has no non-trivial multivalued dependencies. For R1(A,B,C,D,F): • Now, let's consider the relation EmployeeProjects(EmployeeID,Project,Skill)Emplo yeeProjects(EmployeeID,Project,Skill) with the following dependencies: No BCNF violation as {A}+={A,C,D,F}contains all attributes. For R2(B,E): • • • • No BCNF violation as {B}+={B,E,F} contains all attributes. Result: The normalized relations are R1(A,B,C,D,F) and R2(B,E), and they are in Boyce-Codd Normal Form (BCNF). EmployeeID β Project EmployeeID β Skill Project β Skill Example: 16) What is multivalued functional dependency? Explain 4NF with example. Ans. EmployeeID | Project | Skill 1 | ProjectA | Java 1 | ProjectA | SQL 1 | ProjectB | Python 2 | ProjectB | Java 2 | ProjectC | SQL Here, the MVD Project β Skill indicates that for a specific project, there can be multiple skills. Multivalued Functional Dependency (MVD): To bring the relation into 4NF, we decompose it into two tables: An MVD occurs when there is a dependency between two sets of attributes in a relation, indicating that for a given value of one set of attributes, there can be multiple values associated with another set of attributes. Employee_Projects_1: Consider a relation R(StudentID, Course, Instructor) with an MVD StudentID β Course, meaning that for a specific student, there can be multiple courses. [12] EmployeeID 1 1 2 | | | | Project ProjectA ProjectB ProjectB 2 | ProjectC 3. Deadlock Detection: Periodically check for the presence of a deadlock using algorithms. If detected, take corrective actions like aborting one or more transactions. Project_Skills: Project ProjectA ProjectA ProjectB ProjectB ProjectC | | | | | | Skill Java SQL Python Java SQL Starvation: Definition: Starvation occurs when a transaction is delayed or blocked indefinitely from making progress because other transactions continuously obtain resources, preventing it from executing. Now, both tables are in BCNF, and there are no non-trivial multivalued dependencies within each table. This decomposition ensures that the original relation is in 4NF. Each table represents a distinct aspect of the original information, avoiding redundancy and adhering to the principles of normalization. Causes: 1. Priority Inversion: Lower-priority transactions might be continuously preempted by higherpriority transactions, preventing them from making progress. 2. Resource Monopoly: If a transaction consistently acquires resources, it might prevent other transactions from accessing those resources. 17) What are the deadlock and starvation problems in database concurrent tractions? Example: Consider a situation where there are multiple transactions, but one transaction with higher priority always gets access to resources, preventing lower-priority transactions from executing. Ans. Deadlock: Definition: A deadlock occurs in a database system when two or more transactions are blocked indefinitely, each waiting for the other to release a resource. Essentially, it's a situation where transactions are unable to proceed because each is holding a resource that the other needs. 18) Explain the ACID property of a Transaction in detail. Causes: 1. Circular Wait: Transactions form a circular chain, with each transaction in the chain holding a resource that the next transaction in the chain is waiting for. Ans. ACID is an acronym that stands for the four key properties of a database transaction: Atomicity, Consistency, Isolation, and Durability. These properties ensure that transactions are reliable and maintain data integrity, even in the face of errors or system failures. 2. No Preemption: Resources cannot be forcibly taken away from a transaction; they can only be released voluntarily. Here's a detailed explanation of each ACID property: Example: Consider two transactions, T1 and T2. If T1 has locked Resource A and is waiting for Resource B, and T2 has locked Resource B and is waiting for Resource A, a deadlock occurs. 1. Atomicity: Deadlock Prevention and Handling: 1. Lock Ordering: Enforce a strict order in which transactions can request and acquire locks to avoid circular waits. 2. Timeouts: Implement timeouts for transactions. If a transaction doesn't acquire all required locks within a certain time, it may release its locks and restart. • A transaction is an indivisible unit of work. • It either executes completely, or not at all. • If any part of the transaction fails, the entire transaction is rolled back to its initial state, ensuring no partial changes are made. • Example: A money transfer between accounts must either complete in full or not happen at all, to avoid inconsistencies. 2. Consistency: [13] • A transaction must transform the database from one consistent state to another. • It must adhere to all defined integrity constraints and business rules. • Example: If a transaction involves debiting one account and crediting another, the total balance across both accounts must remain consistent. Primary Index is an ordered file which is fixed length size with two fields. The first field is the same a primary key and second, filed is pointed to that specific data block. In the primary Index, there is always one to one relationship between the entries in the index table. The primary Indexing in DBMS is also further divided into two types. 3. Isolation: • • • • Each transaction must execute in isolation from other concurrently running transactions. Changes made by one transaction should not be visible to others until it commits. This prevents inconsistencies and conflicts caused by interleaved operations. Example: Two users attempting to modify the same product inventory simultaneously should not interfere with each other's changes. • Dense Index • Sparse Index Dense Index In a dense index, a record is created for every search key valued in the database. This helps you to search faster but needs more space to store index records. In this Indexing, method records contain search key value and points to the real record on the disk. 4. Durability: • Once a transaction commits (successfully completes), its changes must be permanent. • They must be persisted to the database and survive system failures or power outages. • Example: If a transaction records a payment, that payment record must be preserved even in the event of a system crash. 19) What is the use of Index in database management system? Explain the primary and secondary Indexing with proper diagram? Sparse Index It is an index record that appears for only some of the values in the file. Sparse Index helps you to resolve the issues of dense Indexing in DBMS. In this method of indexing technique, a range of index columns stores the same data block address, and when data needs to be retrieved, the block address will be fetched. Ans. Use of Index in Database Management System (DBMS): An index in a database is a data structure that improves the speed of data retrieval operations on a database table. It works like the index in a book, allowing the database management system to locate and access the rows in a table quickly. Indexing is crucial for efficient querying and retrieval of data, especially in large databases. Below is a database index Example of Sparse Index Primary Index in DBMS [14] 16 MARKS Q1 a. What is lossy decomposition? Check whether the following decompositions are lossy or lossless. (i) Let R=ABCD, R1 = AD, R2 = AB, R3 = BE, R4 = CDE, R5 = AE, F={A->C, B- >C, C->D, DE->C, CE->A} (ii) R (XYZWQ), FD= {X->Z, Y->Z, Z->W, WQ->Z, ZQ-> X, R1 (XW), R2 (XY), R3 (YQ), R4 (ZWQ), R5 (XQ) b. Eliminate redundant FDs from (i) F={X->Y, Y->X, Y->Z, Z->Y, X->Z, Z->X} Secondary Index in DBMS (ii) F = {X->YZ, ZW->P, P->Z, W->XPQ, XYQ, YW, WQ ->YZ} The secondary Index in DBMS can be generated by a field which has a unique value for each record, and it should be a candidate key. It is also known as a nonclustering index. Ans. a. Lossy Decomposition: Let’s understand secondary indexing with a database index example: Lossy decomposition refers to a situation in database normalization where the decomposition of a relation into multiple smaller relations results in a loss of information, making it impossible to reconstruct the original relation. In other words, the join of the decomposed relations does not produce the same result as the original relation. Let's check the given decompositions: In a bank account database, data is stored sequentially by acc_no; you may want to find all accounts in of a specific branch of ABC bank. (i) Decomposition: R=ABCD, R1=AD, R2=AB, R3=BE, R4=CDE, R5=AE, F={A→C, B→C, C→D, DE→C, CE→A} Here, you can have a secondary index in DBMS for every search-key. Index record is a record point to a bucket that contains pointers to all the records with their specific search-key value. To check for lossy decomposition, we need to see if the natural join of the decomposed relations is equal to the original relation: This two-level database indexing technique is used to reduce the mapping size of the first level. For the first level, a large range of numbers is selected because of this; the mapping size always remains small. Secondary Index Example π 1 β π 2 β π 3 β π 4 β π 5 = π΄π· β π΄π΅ β π΅πΈ β πΆπ·πΈ β π΄πΈ If this is equal to R=ABCD, then it's lossless; otherwise, it's lossy. (ii) Decomposition: π (πππππ), πΉπ· = {π → π, π → π, π → π, ππ → π, ππ → π}, π 1(ππ), π 2(ππ), π 3(ππ), π 4(πππ), π 5(ππ) Similarly, we check if π 1 β π 2 β π 3 β π 4 β π 5 is equal to π = πππππ. ///////////////////////////////////////////////////////// ////////////////////////////////////// b. Eliminate Redundant FDs: [15] (i) FD Set: πΉ = {π → π, π → π, π → π, π → π, π → π, π → π} the basic operations and their representations in each of these relational languages: To eliminate redundant FDs, we can use the Armstrong's axioms and closure calculation: 1. Relational Algebra: Relational algebra operations include: 1. Start with the given set of FDs. 2. Check for redundancy by calculating the closure of the left side and seeing if it implies the right side. 1. Selection (σ): Selects rows from a relation based on a given condition. 2. Projection (π): Retrieves specific columns from a relation. 3. Union (∪): Combines tuples from two relations, eliminating duplicates. 4. Difference (-): Subtracts tuples from one relation that are also in another relation. 5. Cross Product (×): Produces a Cartesian product of two relations. 6. Rename (ρ): Renames the attributes of a relation. After eliminating redundant FDs, we get a minimal cover. (ii) FD Set: πΉ = {π → ππ, ππ → π, π → π, π → πππ, πππ, ππ, ππ → ππ} Similarly, apply the Armstrong's axioms to eliminate redundant FDs and obtain a minimal cover. Example (in relational algebra): Q2 a. A database is being constructed to keep track of the teams and games of a • Selection: σAge>21(Students) • Projection: πName,GPA(Students) Union: R∪S Difference: R−S Cross Product: R×S Rename: ρNewName(R) • • • • sports league. A term has a number of players, not all of whom participate in each game. It is desired to keep track of the players participating in each game for each 2. Tuple Relational Calculus (TRC): team, the positions they played in that game, and the result of the game. Try to In TRC, the basic operations include: 1. Selection (∀): Specifies a condition to filter tuples. 2. Projection (∏): Lists the attributes to be included in the result. 3. Join (∼): Combines tuples from two relations based on a common attribute. 4. Rename (∼): Renames attributes. design an ER schema diagram for this application, stating any assumptions you make, Choose your favourite sport (soccer, football, baseball....) b. What are the basic operations for a relational language? How are basic operations represented in relational algebra, TRC, DRC, and SQL? Example (in TRC): Ans. • The basic operations in a relational language, such as relational algebra, Tuple Relational Calculus (TRC), Domain Relational Calculus (DRC), and SQL, are generally aimed at retrieving, manipulating, or combining data in relational databases. Below are • • • [16] Selection: {{π‘ β£ π‘ ∈ ππ‘π’ππππ‘π ∧ π‘. π΄ππ > 21} Projection: {π‘. ππππ, π‘. πΊππ΄ β£ π‘ ∈ ππ‘π’ππππ‘π } Join: {π , π β£ π ∈ ππ‘π’ππππ‘π , π ∈ πΆππ’ππ ππ ∧ π . πΌπ· = π. ππ‘π’ππππ‘πΌπ·} Rename: {π‘. πππ€ππππ β£ π‘ ∈ π } Serializability in the context of database transactions refers to the property where the execution of a set of transactions produces results that are equivalent to some serial execution of those transactions. In other words, the final state of the database should be the same as if the transactions were executed one after the other in some order. Serializability ensures the consistency of the database despite concurrent execution of 3. Domain Relational Calculus (DRC): DRC is similar to TRC but uses quantifiers over the domain. Example (in DRC): • • • • Selection: {π‘ β£ π‘ ∈ ππ‘π’ππππ‘π ∧ π‘. π΄ππ > 21} Projection: {π‘. ππππ, π‘. πΊππ΄ β£ π‘ ∈ ππ‘π’ππππ‘π } Join: {π , π β£ π ∈ ππ‘π’ππππ‘π , π ∈ πΆππ’ππ ππ ∧ π . πΌπ· = π. ππ‘π’ππππ‘πΌπ·} Rename: {π‘. πππ€ππππ β£ π‘ ∈ π } transactions. Conflict Serializability: Conflict serializability is a particular form of serializability that focuses on conflicts between transactions. A conflict occurs when two transactions access the same data item, and at least one of them is a write operation. There are two types of conflicts: 4. SQL (Structured Query Language): In SQL, the basic operations include: 1. SELECT: Corresponds to both selection and projection. 2. FROM: Specifies the tables from which to retrieve data. 3. JOIN: Combines data from multiple tables based on a condition. 4. WHERE: Applies conditions to filter rows. 5. GROUP BY: Groups rows based on specified attributes. 6. ORDER BY: Sorts the result set based on specified columns. 7. INSERT, UPDATE, DELETE: Modify data in the tables. 1. Read-Write Conflict (RW): o Occurs when one transaction reads a data item, and another transaction writes to the same data item. 2. Write-Write Conflict (WW): o Occurs when two transactions write to the same data item. Example for Conflict Serializability – T1 • • • T3 R(X) R(X) Example (in SQL): • T2 W(Y) W(X) Selection: ‘SELECT * FROM Students R(Y) WHERE Age > 21;’ Projection: ‘SELECT Name, GPA FROM Students;’ Join: SELECT ‘Students.Name, Courses.CourseName FROM Students JOIN Courses ON Students.ID = Courses.StudentID;’ Rename: ‘SELECT Name AS NewName FROM R;’ W(Y) Now, we will list all the conflicting operations. Further, we will determine whether the schedule is conflict serializable using Precedence Graph. Two operations are said to be conflicting if the belong to different transaction, operate on same data and at least one of them is a write operation. Q3 a. What is serializability? Explain conflict serializability and view serializability. 1. 2. 3. 4. Ans. [17] R3(X) and W2(X) [ T3 -> T2 ] W1(Y) and R3(Y) [ T1 -> T3 ] W1(Y) and W2(Y) [ T1 -> T2 ] R3(Y) and W2(Y) [ T3 -> T2 ] Constructing the precedence graph, we see there are no cycles in the graph. Therefore, the schedule is Conflict Serializable. 1. 2. 3. 4. 5. 6. 7. R1(A) and W2(A) [ T1 -> T2 ] R1(A) and W3(A) [ T1 -> T3 ] W2(A) and R3(A) [ T2 -> T3 ] W2(A) and W1(A) [ T2 -> T1 ] W2(A) and W3(A) [ T2 -> T3 ] R3(A) and W1(A) [ T3 -> T1 ] W3(A) and W1(A) [ T1 -> T3 ] Constructing the precedence graph for conflicting operations in the schedule. The serializable schedule is, T1 -> T3 -> T2 View Serializability: View serializability is another form of serializability that focuses on the final outcome seen by users (views) of the database. It allows more flexibility in the scheduling of transactions as long as the views presented to users are consistent with some serial order. b. Test if the following schedule is conflict serializable or not. R1(A), R2 (D), W1 (B), R2(B), W3 (B), R4 (B), W2 (C), R5 (C), W4 (E), R5 (E), W5 Ans. A schedule is view serializable if, for every pair of transactions Ti and Tj in the schedule, the following conditions hold: To determine if the given schedule is conflict serializable, we can use the precedence graph method. The precedence graph helps visualize the dependencies between transactions based on read and write operations. If the graph is acyclic, the schedule is conflict serializable. 1. If Ti completes before Tj starts, then the view of the database seen by Tj is the same as if Ti had executed first. 2. If Tj reads a data item written by Ti, then the view of the database seen by Tj is the same as if Ti had executed just before Tj. Given the schedule: π 1(π΄), π 2(π·), π1(π΅), π 2(π΅), π3(π΅), π 4(π΅), π2(πΆ), π 5(πΆ), Example for View Serializability – Let us consider the following transaction schedule and test it for View Serializability. T1 R(A) T2 Let's construct the precedence graph: 1. Transaction Nodes: Create a node for each transaction. T3 • Nodes: π1, π2, π3, π4, π5 2. Directed Edges: For each conflicting operation, draw a directed edge from the transaction that performs the earlier operation to the one that performs the later operation. W(A) R(A) W(A) W(A) • As we know that if a schedule is Conflict Serializable, then it is View Serializable also. So first let us check for Conflict Serializability. Edges: π1 → π2, π1 → π3, π1 → π4, π2 → π3 , π3 → π4,2 → π5, π4 → π5 The conflicting operations for this schedule are – [18] Now, examine the graph for cycles. If there are no cycles, the schedule is conflict serializable. o o The graph is as follows: T1 / | \ / | \ v v v T2 T3 T4 \ | / \ | / | v T5 Conclusion: 2. Multigranularity Locks: • • The precedence graph contains a cycle (R2 -> W1 -> R4 > R2), indicating that the schedule is not conflict serializable. Therefore, the given schedule does not satisfy the conflict serializability property. • a. Explain various locking technique for concurrency control. Ans. Concurrency control in a database system is crucial to ensure that multiple transactions can execute concurrently without interfering with each other, preserving the consistency of the database. Locking is a widely used technique for concurrency control. Here are various locking techniques: • Timeouts and Detection: o Transactions are given a certain amount of time to complete, and if they cannot acquire required locks within this time, they are rolled back. o Detection algorithms identify circular wait conditions and resolve deadlocks. 4. Timestamp-Based Concurrency Control: • 1. Binary Locks (Two-Phase Locking): • Basic Idea: o Locks can be acquired at various levels of granularity (e.g., at the level of a page, table, or database). o Reduces contention by allowing transactions to lock only the portion of the data they need. Example: o A transaction might lock a specific row, a page, or an entire table. 3. Deadlock Handling: Q4 • No transaction can request a new lock once it releases any lock. A transaction cannot release any lock until it has acquired all the locks it needs. Basic Idea: o Transactions acquire locks before accessing data items and release locks when done. o Two phases: Growing Phase (acquiring locks) and Shrinking Phase (releasing locks). Types of Locks: o Shared Lock (S): Multiple transactions can hold shared locks on the same item simultaneously. o Exclusive Lock (X): Only one transaction can hold an exclusive lock on an item. Protocol: • Basic Idea: o Assign a unique timestamp to each transaction representing its start time. o Use timestamps to determine the order of operations and resolve conflicts. Types: o Timestamp Ordering Protocol: Uses timestamps to order transactions and prevent conflicts. o Thomas Write Rule: Allows a transaction to write if its timestamp is greater than the timestamp of the last transaction that wrote the item. 5. Optimistic Concurrency Control: [19] • • Basic Idea: o Transactions proceed without locking resources. o Validation phase checks for conflicts before committing. o If conflicts are detected, transactions are rolled back and restarted. Timestamps are used to determine the order of operations and to detect conflicts. 2. Validation Phase: • Transactions proceed without acquiring locks during the execution phase. • At the end of the transaction, a validation phase is performed to check for conflicts with other transactions. 6. Two-Phase Commit (2PC): 3. Conflict Detection: • Basic Idea: o Ensures atomicity of distributed transactions. o Coordinator sends a "prepare" message to all participants, and participants reply with an acknowledgment. o If all participants agree, the coordinator sends a "commit" message; otherwise, it sends an "abort" message. 7. Read and Write Locks: • • Conflicts are detected by comparing the timestamps of transactions and the data items they have accessed. • Common types of conflicts include: Read-Write Conflict: If a transaction attempts to write to an item that has been read by a later transaction. o Write-Write Conflict: If two transactions attempt to write to the same item. 4. Rollback and Restart: Basic Idea: o Introduces separate read and write locks to allow multiple transactions to read a data item simultaneously while ensuring exclusive access for writing. o Reduces contention for read operations. • If conflicts are detected during the validation phase, the transaction is rolled back. • The transaction is then restarted with a new timestamp, and the process repeats. 5. Example Algorithm: Thomas Write Rule: b. Describe optimistic concurrency control techniques? • The Thomas Write Rule is an optimistic concurrency control protocol used to manage conflicts in write operations. • If a transaction T wants to write to an item, it can proceed only if its timestamp is greater than the timestamp of the last transaction that wrote to that item. Ans. Optimistic Concurrency Control (OCC) is a concurrency control technique that allows transactions to proceed without acquiring locks on data items during the execution phase. Instead of locking resources, OCC allows transactions to execute freely and checks for conflicts at the end of the transaction, during the validation phase. If conflicts are detected, the transaction is rolled back and restarted. Here are the key characteristics and techniques associated with Optimistic Concurrency Control: 6. Benefits of Optimistic Concurrency Control: • Reduces contention for locks, allowing for greater parallelism in transaction execution. • Optimistic approach is well-suited for scenarios where conflicts are infrequent. 7. Drawbacks: • 1. Timestamps: • o Transactions are assigned unique timestamps that represent their start times. [20] Increased rollbacks: Transactions may be rolled back and restarted more frequently in case of conflicts. • o Additional overhead: The validation phase introduces extra overhead to check for conflicts. 4. Media Failures: 8. Applications: • Optimistic Concurrency Control is often used in scenarios where contention for resources is low, and conflicts are expected to be infrequent. MVCC maintains multiple versions of data items with different timestamps. • Allows for concurrent read and write operations without conflicts by ensuring that each transaction reads a consistent snapshot of the database. Example: 1. Transaction T modifies data item X. 2. The modification is immediately applied to the database and logged. 3. If a failure occurs before the commit, the recovery manager uses the log to undo the changes made by the incomplete transaction. Types of Database Failures: Deferred Database Modification: 1. Transaction Failures: Can result from application errors, hardware failures, or system crashes. In this approach, changes made by a transaction are first recorded in the log. The actual modifications to the database are deferred until the transaction is committed. If a failure occurs, the recovery manager uses the log to undo or redo transactions. Example: 2. System Failures: o o 1. Transaction T modifies data item X. Result from hardware or software faults that cause the entire system to crash. 2. The modification is recorded in the log but not applied to the database. Can lead to loss of data in memory. 3. If the transaction is committed, the changes are applied to the database. 3. Disk Failures: o Examples include disk corruption, file system errors, or accidental deletion. In this approach, changes made by a transaction are immediately written to the database and the log. If a failure occurs, the recovery manager uses the log to undo or redo transactions. Database failures can occur due to various reasons, and recovery mechanisms are crucial to ensure the integrity and consistency of the database. Here are various types of database failures: o o Immediate Database Modification: Ans. Occur when a transaction cannot proceed due to an error. Involve the loss or corruption of data due to issues with storage media. Log-based recovery is a technique used to recover the database after a failure. It involves maintaining a transaction log that records all changes made to the database during transactions. There are two approaches to log-based recovery: immediate and deferred. Q5 What are the various types of database failure? Explain Log-Based recovery scheme by showing the immediate and deferred database modification with proper example. o o Log-Based Recovery Scheme: 9. Example Scenario: Multi-Version Concurrency Control (MVCC): • Can result in data loss if not handled properly. 4. If a failure occurs before the commit, the recovery manager uses the log to undo or redo the changes. Occur when one or more disks storing the database become unavailable or fail. Example Scenario: [21] π (π΄, π΅, πΆ, π·, πΈ, πΉ)π€ππ‘β πΉπ·π : {π΄π΅πΆ, π΅πΆπ·, π·πΈπΉ, π΅πΆ → π΄πΊ, π΄π΅πΊ → π·πΉ} Suppose we have a simple transaction that transfers money from one account to another: 1. Transaction T: a) Find the Closure of Each Determinant: o Reads the balance of account A. o Deducts Rs. 10000 from the balance of account A. o Adds Rs. 10000 to the balance of account B. 1. 2. 3. 4. 5. 6. 7. 2. Immediate Modification: o Changes are immediately applied to the database and logged. Operation Read(A) | | To find the candidate key, we need to check the closure of each possible combination of attributes. Data T1 | Write(A) | -10000 T1 | Write(B) | +10000 1. ABC+: ABC+ includes {ABCDEF}. 2. AB+: AB+ includes {ABCDEF}. 3. BC+: BC+ includes {BCDEFA}. 4. AC+: AC+ includes {ACBDEF}. 5. BD+: BD+ includes {BCDEFA}. 6. CD+: CD+ includes {CDEFA}. 7. DE+: DE+ includes {DE}. 8. DF+: DF+ includes {DF}. 9. EF+: EF+ includes {EF}. 10. ABCDEF+: ABCDEF+ includes {ABCDEF}. If a failure occurs before the commit, the recovery manager uses the log to undo the changes. Deferred Modification: • Changes are recorded in the log but not applied to the database immediately. Transaction Log: Timestamp | Operation | Data T1 | Read(A) | T1 | Write(A) | -10000 T1 | Write(B) | +10000 A+ includes {A}. B+ includes {B}. C+ includes {C}. D+ includes {D}. E+ includes {E}. F+ includes {F}. G+ includes {}. b) Find the Candidate Key: Transaction Log: Timestamp| T1 | A+: B+: C+: D+: E+: F+: G+: From the above, we can see that both ABC and AB cover all attributes, and removing any attribute from them will not cover all attributes. Therefore, ABC and AB are candidate keys. If the transaction is committed, the changes are applied to the database. c) Find the Canonical Cover: The canonical cover is obtained by eliminating redundant dependencies and ensuring irreducibility. Q6 Consider the following relation R(A, B,C,D,E,F) with a set of functional dependencies: FD={ABC, BCD, DEF, BC→ AG, ABG → DF } 1. Eliminate Redundant Dependencies: o Remove ABG→DF as it is implied by BC→AG and AB→DF. 2. Ensure Irreducibility: o No further reduction is needed. a) Find the closure of each determinant. b) Find the candidate key. c) Find the canonical cover. Canonical Cover: Ans. {ABC→DEF, BC→AG} Given Relation and Functional Dependencies: ///////////////////////////////////////////////////////// [22] key column, establishing a relationship between the two tables. 2 MARKS 1) In Relational model what do you mean by cardinality? 6) Explain the following terms associated with relational database design: Primary Key, Secondary key, Foreign Key? Ans. Cardinality refers to the relationship between the number of tuples (rows) in one table and the number of tuples in another table. The three common cardinalities are: • Ans. Primary Key: A primary key is a unique identifier for a record in a table. It ensures that each record can be uniquely identified and is used to establish relationships with other tables. • Secondary Key: A secondary key is a candidate key that is not selected as the primary key. It provides an alternative means of accessing data but may not be unique. • Foreign Key: A foreign key is a column or set of columns in a table that refers to the primary key of another table. It establishes a link between the two tables, enforcing referential integrity. One-to-one One-to-many Many-to-many 2) How can you map a conceptual model to a relational model? Ans. Mapping a conceptual model to a relational model involves identifying entities, attributes, and relationships in the conceptual model and transforming them into tables, columns, and foreign keys in the relational model. Each entity becomes a table, attributes become columns, and relationships are represented through foreign keys. 3) 7) What is ACID property? Ans. ACID (Atomicity, Consistency, Isolation, Durability) is a set of properties that guarantee reliable processing of database transactions. What is the use of DML in DBMS? Ans. Data Manipulation Language (DML) in a Database Management System (DBMS) is used to perform operations like insertion, updating, retrieval, and deletion of data in a database. It allows users and applications to interact with the data stored in the database. Commands like INSERT, UPDATE, DELETE etc. 4) • Atomicity: Transactions are treated as a single, indivisible unit of work. • Consistency: Transactions bring the database from one consistent state to another. • Isolation: Transactions operate independently of each other, ensuring that the outcome of one transaction does not affect others. • Durability: Once a transaction is committed, its effects are permanent and survive system failures. List two reasons why we may choose to define a view? 1. Ans. To simplify complex queries: Views can be used to simplify complex queries by providing a virtual representation of the data, hiding the underlying complexity. 8) 2. Security: Views can be used to restrict access to certain columns or rows, ensuring that users only see the data they are authorized to access. What is Phantom Phenomenon? Ans. Phantom Phenomenon is a concurrency control issue in a database where a transaction retrieves a set of records based on a certain condition, and another transaction inserts or deletes records that match the condition before the first transaction completes. This can result in the first transaction seeing "phantom" records that were inserted or not seeing records that were deleted. 5) A primary key if combined with a foreign key creates what? Ans. When a primary key from one table is combined with a foreign key in another table, it creates a referential integrity constraint. This ensures that values in the foreign key column match values in the primary 9) What is the possible violation if an application program uses isolation level "Repeatable Read" [23] Ans. The possible violation associated with the isolation level "Repeatable Read" is the phenomenon of non-repeatable reads. It occurs when a transaction reads the same data multiple times during its execution, but the data may have been modified or deleted by other transactions between the reads. 14) Explain briefly about the object-oriented data model? • The object-oriented data model organizes data into objects, which are instances of classes. • Each object has attributes (data fields) and methods (procedures). • It supports encapsulation, inheritance, and polymorphism, providing a way to model complex real-world entities. 15) Define Foreign Key? Write an example to explain it. • A Foreign Key is a column or a set of columns in a table that refers to the primary key of another table. It establishes a link between the two tables. • Example: If we have a "Orders" table with a foreign key "CustomerID" referencing the primary key "CustomerID" in the "Customers" table, it ensures that each order is associated with a valid customer. 16) Explain the role of DBA in DBMS? 10) Which protocol always ensures recoverable schedule? Ans. The Two-Phase Locking (2PL) protocol always ensures a recoverable schedule. This protocol ensures that transactions acquire all the locks they need before releasing any locks and follows a strict protocol of acquiring, using, and releasing locks, preventing the possibility of a deadlock and ensuring recoverability. 11) What is metadata? Give an example? • Ans. Data that describes other data, providing information about its structure, content, usage, and management. • Example: In a library database, metadata might include: o Book title, author, publication date, ISBN o Member name, address, membership status Ans. A Database Administrator (DBA) is responsible for managing and maintaining a database system. Their role includes tasks like database design, security management, data backup and recovery, performance monitoring, and ensuring data integrity. DBAs play a crucial role in the efficient and secure functioning of a database. o Borrowing dates, due dates, renewal history 17) Define a Transaction in database? Explain the dirty read problem? Ans. A transaction is a logical unit of work that consists of one or more SQL statements. The ACID properties (Atomicity, Consistency, Isolation, Durability) ensure the reliability of transactions. The dirty read problem occurs when one transaction reads uncommitted changes made by another transaction, potentially leading to inaccuracies if the second transaction is rolled back. 12) Differentiate between schema and instance? Ans. • A schema is the overall design of a database, including its structure, constraints, and relationships. • An instance, on the other hand, is a snapshot of the database at a specific moment, representing the actual data stored in the database. 13) Explain how update command works in SQL? 18) What is trivial functional dependency • A trivial functional dependency is a dependency where the independent attribute or set of attributes functionally determines itself or a subset of itself. • For example, if A determines A in the context of {A, B}, it is a trivial functional dependency. 19) Explain the use of hashing in Index structures? Ans. The UPDATE command in SQL is used to modify existing records in a table. • Syntax: UPDATE table_name SET column1 = value1, column2 = value2, ... WHERE condition; • Example: UPDATE customers SET email = 'new_email@example.com' WHERE customer_id = 123; Ans. Hashing is a technique used in index structures to map keys to locations, providing efficient retrieval of records. Hash functions convert keys into hash codes, and these codes determine the storage location. Hashing is commonly used in hash indexes to speed up [24]