From: AAAI Technical Report SS-95-01. Compilation copyright © 1995, AAAI (www.aaai.org). All rights reserved. "Polymorphic"Causatives: ComplexPredicates in French Annie Zaenen RankXerox Research Centre, Meylan,France annie, zaenen@xerox, fr Mary DahTmple Xerox PARC,Palo Alto, CAUSA dalrymple@parc, xerox, com January 17, 1995 1 Introduction The French causative construction is a complexpredicate construction, in which multiple predicative elements combineto forma single syntactic predicate. In example(1), the two verbs faire "cause" and venir ’come’ combineto give rise to a syntactically monoclansalstructure with a complexsemantic represe.ntation: (2) Pierre a laiss6 Paul venir let come ’Pierre let Paul come." Frenchpermissives maybe syntactically biclausal, in contrast with the normally monoclausalcausative construction. I The fstructure for (2) is given in (3); the complement clause headed by venir ’come’ bears the XCOMP relation to the main clause verblaisser ’let’: (1) Pierre a fait venir Paul. (3) ¯ PRED LAISSER In this case, it is the intransitive verb venir ’come’whichcomSUBJ [PRED PIERRE] bines with causative fromto form a new two-place syntactic pre~cate. In fact, causa~ve faire can combinewith a verb of OBJ [PRED PAUL] -----any arity to forma newsyntactic predicate; the resulting predPRED VENIR" icate has as manyargumentsas the original verb, with the adXCOMP L SUBJ dition of a new argumentfor the causer. Wepropose an approach to syntactically-derived complexpredicates whichproducesthe correct syntactic structure and correctly specifies the This stands in contrast to the situation with causatives, which relation betweenthe syntax and the meaningwithout relying on form complex predicates and are monoclansal. an ambiguity in the causative verb to permit combinationwith verbs of varying arities. 2.2 Causatives: Complex predicates I The French causative construction is exemplified in (4), with its f-su-ucturegivenin (5): 2 Thenature of complex predicates Muchwork has been devoted to the analysis of complexpredicate constructions (Manning1992, Alsina 1993a, Butt 1993, and works cited therein, amongmanyothers), and in particular to the syntactic features of these constructions. Theanalysis presented here for the Frenchcausative construction closely resembles the analysis proposed for Urdu complexpredicates by Dalrympleet al. (1993), employinga resource logic, linear logic, to guide the composition of meanings. The approach gives rise to a clean characterization of completeness and coherence (Dalrymple, Lamping, and Saraswat, 1993), and mesheswell with the treatment of other semantic phenomena, such as quantification, modification, and intensional verbs (Dalrympleet al., 1994a; Dalrympleet al., 1994b). 2.1 Permimives: Syntactically (4) Pierre a falt venir Paul causc come ’Pierre caused Paul to come." (5) "PRED FAIRE(VENIR) SUBJ [ PRED PIERRE] OSJ [PRED PAUL] Evidence for the differing status of these constructions comes from critic climbing. A critic object appears adjacent to its verb. For biclausal constructions, the clitic object of the subordinate clause verb appears next to the subordinate verb: x Dueto lackof space,wewill notdiscussthe monoclausal permissive constructionexemplified in (a): (a) Pierrea lais~ venirPaul bidausal The Frenchpermissive construction is exemplified in (2): 180 (6)Marieveut" [inmnnger] wants it to eat ’Mariewantsto eat iL’ However,in the case of complexpredicates the clitic object appears adjacent to the complete verb complexof whichit is an object: (7) Pierre l’a falt venir him-has cause come ’Pierre has caused him to come." (8) Marie la lui a falt manger it him has cause eat "Mariehas causedhim to eat it.’ Muchother evidence has been presented that differentiates these two constructions and evidences the monoclansality of the complexpredicate construction; see, for example, Abeille and Godard(1994) and the references cited there. 3 Semantic composition as deduct/on in linear logic Dalrymple, Launping, and Saraswat (1993) present an approach to semantic composition within the LFGframework which makesuse of a fragment oflinearlogic 2 (Girard, 1987) to state constraints on the compositionof meanings;see also Dalrymple et al. (1993), Dalrymple et al. (1994a), Dalrympleet al. (1994b). Webriefly review the assumptions of this frameworkhere. A key principle of the approach is to distinguish meanings from insu’uctions about how to assemble meanings. The language of meaningcan be any suitable logical language for expressing truth-conditional meaningsof words and phrases; for current purposes, first-order logic will suffice. Thelanguageof assembling meaningsor glue language is a fragment of linear logic (the tensor fragment) used to express constraints on the compositionof meanings. That is, the glue language expresses how the meanings of words and phrases can combine. Wewill go through a simple examplebefore turning to the more complicated case of complex predicates. The relevant lexical entries for sentence(9) are given in (10): (9) Marie a mang6 la pomme ate the apple (I0) Marie NP (T PR]~) = MARIE To ~* Marie pomme N 0" PRIED) = POMME To, "-* apple manger V (T PR~’~)= MANGER VX, Y. (T, AGENT)-,.. X ® (To THEME)~ --0 L, "* eat(X, Y) Since we present this simple examplemerelyin order to iLlustrate our formal assumptions, we ignore the syntax and semantics of the other wordsin the sentence,as well as issues of tense, aspect, definiteness, and so on. Our analysis requires a means of specifying the meanings of particular syntactic objects and the relations betweenthese meanings. Wetake advantage of the projection architecture of LFG(Kaplan, 1987; Halvorsen and Kaplan, 1988), which enables a characterization of meaningsassociated with f-structures. Notationally, the subscript o- represents the projectionfunction from f-structures to semantic representations. The expression’We’represents the semanticprojection of the fstructure T, for example. Weassumethat semantic projections are associated via the ~,~ relation with meanings,and so the expression "T¢~.~ Marie" indicates that the meaning Marie is recorded as the meaningof T~,- Semanticprojections can also be structured with attributes and values, just like f-structures, and the values of these attributes can be a&u~atedwith meanings. Thus the expression (T~, AGENT~ ~, X means that the semantic projection T~, of the f-structure T has an attribute AGENT,and that X is recorded as the meaning of the value of(To AGENT~. Thelexical entries in (I0) give rise to the f-structure and associated semantic informationin (I I): PRED MANGER 1 (II) f: I SUBJ g:[PRED MARIE] OBJ h: [ PRED POMME ] ga ~’* Marie ha ~ apple vx, Y. (f.AGZVr) ®(f~,THEME)~.+ --0 fo ,,.. eat(X, Y) Lexical items like Marie and pommehave meanings like Marie and apple. Verbs are more complicated. The verb mangermakesthe following semantic contribution: VX, Y. (/¢ AGENT)~ ®(/~ THEME)~. --0 fa ~* eat(X, Y) This rule states that if the agent of mangerhas meaningX, and (®) the theme of manger has meaning Y, then ( --0 ) those meanings are consumed, and a meaning for the f-structure for the sentence, f, is produced. For further details, see Dalrymple, Lamping, and Saraswat (1993). Note that the verb manger’eat’ does not subcategorize for grammaticalfunctions such as SUBJand OBJ, as is assumedin classical LFGanalyses. Instead, it specifies semantic/thematic information about its arguments. The grammatical functions that express these arguments are given by mapping rules, which specify a relation betweenarrays of thematic roles and the grammaticalfunctions that realize them. For the example at hand, the followingmappingrule is relevant: aSeeScedrov (1993)for a tutorial inmxlu~on to linear logic; seea/so (12) [(Vf, X, Y. ((f SUBJ). ,..* X) ® ((f OBJ). Saraswat (1993). --o (f, AGENT)~.. X ® (fa THEME)~.. 181 This mappingrule states a general relation betweensubjects (15)[(V.f, X,Y.((f OBI.~etnt) X) ,-,~ and agents, and objects and themes: given a subject X and an ®((f SUBJ). -,~ object Y, an agent X and a theme Y can be posited. -o(/.AOrta3 --X ® (/.THEME) --. Themappingrule in (l 2) is a general rule about possible thematic role/grmnmaticalfunction associations for f-structures in This rule relates themesto subjects, and requires the agent to general. Wecan instantiate this mappingrule for the particular be realized as an oblique phrase. Again, a well-formedderivaf-structure that we are concernedwith, the f-structure labeled tion wouldnot be possible, since the rule allows the derivation f: to proceed only in the presence of an OSLagentphrase. In this and in the abovecase, the interaction of the mappingrules with (13) vx, Y. (g. ... x)® (h. -~ completenessand coherence constraints ensures that no other -.o(faAGENT).,~X ® (ft,THEME) ,,.* derivation produces a well-formedoutput. Having donethis,we beginthesemantic deduction withthe It is importantto note that weintend no claimsabout the correctness of the specific details of these mappingrules; rather, following premises: our claim is that mappingrules should be of the general form Marie: go ",~Marie we have illustrated, specifying possible relations betweenthematic roles and grammaticalfunctions. In particular, no theoapple : ha ",~ apple retical significance should be attached to the choice of thematic mappingX : VX,Y. (g~, -,., X) ® (h,, -,., role labels used here; for the verb eat, for example,labels such -o (f. AG~rI~~ X ® (f~,THEME),,-, as ’eater’ and ’eaten-thing’ woulddo as well. Mappingrules eat : YX, Y. (f. AGF3V~.,.+ X ® (f.THEME)Y mayspecify thematic/semantic information as we have given --o fa ~’* eat(X, Y) it, as assertions about roles such as agent andtheme. AlternaFromthese premises, the following deduction is possible, giv- tively, such information can be specified in terms of structmes of Conceptual Semantics (Jackendoff, 1990), as in Butt’s aping the desired result: proach (Butt, 1993), in terms of Proto-Roles (Dowry,1991), Marie @apple @ mappingl ® eat in Alsina’s approach (Alsina, 1993a), or by someother means. Grammaticalfunction information can be specified in terms of (f~ AGENT) ~ Marie grammaticalfunction labels such as suBJ and OSJ, as is done ®(ft, THEME)~ apple here; alternatively, such informationcan be given in terms of a ®eat feature decompositioncross-classifying grammaticalfunctions ~" f~ ",~ eat(Marie, apple) (Levin, 1986; Bresnan and Kanerva, 1989; Alsina, 1993a). Ourclaims relate to the formal properties of mappingrules, and The use of linear logic instead of classical logic as the thus our approach could be adopted as a part of any one of a "glue language’ provides clear advantages which we have dis- numberof specific approaches to mappingtheory. cussed in other work (Dalrymple, Lamping, and Saraswat, 1993;Dairympleet al., 1993): it allows us to capture the intuition that lexical items and phrases contribute uniquelyto the 4 Complex predicates, mapping rules, and deduction meaningof a sentence, thus enabling a clean semantic definition of the LFGrequirements of completeness and coherence. Weare now ready to consider how our approach applies to This requirement is what ensures the selection of the correct complexpredicates. Our task is to explain howcausativefaire mappingrule. In a semantic derivation, the wrong mapping can combinewith a verb of any arity - here, with the intransirule might be incorrectly chosen, for exampleone whichrelates tive verb venir ’come’- to license a syntactically monoclausal argumentstructure. Wealso want to ensure that the syntactic experiencers to subjects, and themesto objects: representationfor this sentenceis correctly related to its (complex) meaning. Wewill consider the following example: (14)!(Vf,X.Y.((f SLrBJ)t, ,,~ X)®((f OBJ)t, -~ (f, ~XPOSaVCER)-~ ®(f. THEME) .,.* Y) (16) Pierre a fait venir Paul causecome The use of this mappingrule in the derivation of the sentence ’Pierre caused Paul to come.’ above wouldnot allow a well-formed derivation. First, the meaningfor a clause containing the verb manger’eat’ can only The first issue we must address is what the semantic structure be obtained in the presence of an agent, and this mappingrule of this sentence should look like. Semantically, is the French does not provide one. Second,this rule asserts the presence of causative verb two-place or three-place? an experiencer which is not consumedduring the derivation; the result is incoherence,since the premisesof the sentence do (17) a. cause(Pierre, come(Paul)) not lead to a single meaningassociated with the sentence, with b. cause(Pierre, Paul, come(Paul)) no premises remaining. Alternatively, a mappingrule such as the following might Our frameworkenables us to produce either meaning unprobhave been incorrectly selected: lematically; for discussion of the linguistic issues involved in 182 this choice, see Alsina and Joshi (1991). Welack space to ad- This rule maps a SUBJX and an OeJ Y to the thematic roles ~, crucially, this mapping takes place dress this issue in detail, and will makethe assumptionthat the CAUSER and AGENT first altenuttive is the correct one. whetherthese roles are both associated with a single verb (the Thef-structure and lexical entries for sentence(I 6) are: usual case) or with more than one verb (the case of complex predicates). In other words, we claim that in the case of complex predicates, the SUBJand OBJ(and other grammaticalfunc(18) tious) of a single f-structure can be associated with thematic roles of multiple verbs. The semantic contributions from the lexical entries of the words in the sentence and the instantiated mappingrule give the following premises: (19) Pierre N’P (T PI~T}) = PIERRE To "~ Pierre (21) Pierre: (go"~Pierre) Paul venir NP (T PRED) = PAUL To "* Paul V (T Paul : (ho ",~ Paul) mapping2 : (VX, 3,,, Z. (go ~ X) ® (ho .-o (fo CAUSER) -~ X®(f~ AC~Z~ -.~ Y) PRED)=COME vx. (to AC~rr) -,* X--o to "-~cone(X) faire V come: (YX. (fo AGENT).,-*X .--o f® "" cone(X)) muse : (VX, P.(f~, CAUSER)~ X @ f® ~ -.-o f® ~ cause(X, P)) vx,P. (to CAUSER) -.. ®(T. "-* P) -~ To~ cauae(X, P) Fromthese premises, the deduction proceeds as follows: The semantic contribution of causativefaire is one of the two crucial ingredients in our analysis: vx,P.(to CAUSER) -.. X®(1". "-* P) .-o to ~ cause(X, P) (22) Paul ® Pierre @mapping2 ® come ® cawe b (fa CAUSER).,., Pierre ® (fo AGENT).,.+ @come® cause I- (/,, }- fo ".* cause(Pierre, CAUSER)’,.*Pierre ®fo ~ cone(Paul) ® cause come(Paul)) Causafivefa/re requires an argumentwith the role of CAUSER,$ Semantic forms and resource-accounting the role filled by Pierre in the sentence above. Wereiterate that the exact choice of thematic role label is not the important Manysyntactic frameworksimplicitly or explicitly assumethat issue here; rather, our approachrequires merelythat the the- the array of grammaticalfunctions licensed by a syntactic predmarie/semautic information referred to by mappingrules and icate is immutableand cannot be altered in the course of a lexical entries be expressed clearly and unambiguously. derivation. Complexpredicates seem to violate this assumpBesides a CAUSER, causative faire also requires another ar- tion, however;,verbs such as causativefa/re seemto operate on gument:a preliminary meaningfor the f-structure that it is as- syntactic predicates so as to increase their arity by one. sociated with. This meaningwill be obtained when the verb In the context of LFG,certain assumptionshave traditionally venir is provided with its arguments. Causativefaire requires, been madeabout the nature and function of semantic forms, the then, that the CAUSER X and the preliminary meaning P be values of the attribute PRED.Kaplau and Bresnau (1982) asconsumed, and a new meaning produced: cause(X, P). Tiffs sumePREDvalues for verbs of the following form: preliminary meaningmay be provided by a verb of any anty; (XsuB (ToBJ)>’ thus, we need only one lexical enntry for causative fa/re, no (23)’eat< agent theme matter what the arity of the verb with whichit combines. It is here that one of the advantagesof the use of linear logic According to Kaplan and Bresnau (1982), these semantic for guiding semanticcompositioncan be clearly seen: classical forms encode four types of information: logics wouldnot allow a step such as this one, where two different assignments of meaningto To are madeon the left and 1. Specification of the semanticrelation right handsides of the --o linear implication; the resourceori2. Mappingof grammatical functions to semantic roles entation of linear logic makessuch an analysis possible. Thesecondcrucial ingredient in our analysis is the following 3. Subcategorization information (the governed grammatimappingrule: cal functions) (2o)!(vf, x, Y,z.((fsuBJ). -.. x) ®((f OSJ). --o(foCAUSER) -,.. X®(f. ACEtCr) .,~ 4. Instantiation to indicate semantic distinctness (predicate uniqueness) 183 Encodingthese kindsof informationby meansof a single forWebelieve that the syntactic function of predicate uniquenull devicepermitsthe syntacticallyrelevant aspectsof mean- ness is an importantone, andso wecontinueto permitsemaning to be confinedto a single placein the f-structure. Butwe tic formsin the lexical entries of semantically contentfullexical haveseen that subcategorizafioninformationmustbe allowed itemsto specifythe valuesof PRED attributes in the f-structure. to changein the courseof a syntactic derivation, andso some However,wealso believe in a necessaryseparation between changeis necessaryto allowfor the formationof complex pred- syntaxand semantics,so that whichparticular semanticform icates whilestill allowingfor the abovefour kindsof informa- appearsis irrelevant for syntacticpurposes.Thatis, the syntax is concernedonly with the presenceor absenceof a semantion to be properlyencoded. tic form,andnot with its internal structure. Thus,if the only Kaplan(personalcommunication) observesthat the effect is to ensurepredicate uniqueour approachand the approachtaken in muchother recent LFG remainingfunction of the PReD literature (Alsina1993a,Butt 1993,among others) is to u’eat ness, it woulddo as well to assumethat the PRED value for a the different kinds of informationencodedby semanticforms sentencewith a complexpredicate is contributedby the main with separate and independentmechanisms.Specification of verb (for example,VF.NIR),andthat the function of FAIRE the semanticrelation is accomplishedin the lexicon: a verb tO modifythe argumentstructure but not to contribute to or like ’eat’, for example,specifies that its meaning is eat(X, Y) changethe PRED valueof the construction.It is for this reason whengiven an agent X and a themeY. Weassumethat the that wedo not take a position on howa semanticformsuch as mappingof grammaticalfunctions to semanticroles, as well ’FAIRE<VENIR>’ is formed,since webelieve that the par6cas the particular inventoryof governed~’ammadcal functions, ular syntacticshapeof this predicateis not an issue. are givenby the mappingrules: the mappingrules mightspecify that for a verblike "eat’, the subjectbearsthe thematicrole 6 Condnsion of agentandthe object bearsthe role of theme. Giventhese newmechanisms,complexpredi~t~ and sire- Theuse of linear logic enablesa treatment of complexpredpler constructionsare handledidentically. If a rule exists to icates whichproducesthe correct syntactic structure andcormapa set of grammatical functionslicensedby a complex pred- rectly specifies the relation between the syntaxandthe meaning icate to a set of thematicroles, then the result will be a mono- withoutrelying on an ambiguityin the causativeverb to perclausal syntacticstructure, whetherthis array of thematicroles mit combinationwith verbs of varying arities. Ourdeduction arose in associationwith a single lexical item or with multi- fi’amework enablesus to use linear logic to state suchoperaple predicativeelements.This aspect of the analysis of com- tions in a formallywell-definedmanner. plex predicates is thus unproblematicfor any approachwhich assumesthat verbsare lexically associatednot with an array 7 Acknowledgments of grammatical functions,but with an array of thematicroles; mapping rules will associatethe appropriatearray of grammati-Wewouldlike to thank John Lamping and Vijay Saraswatfor cal functionswiththese thematicroles in all cases, for complexvaluable input and comments. predicatesas wellas for simplercases. Onthese assumptions,only one function of the semantic formremains:iustantiation to indicate semanticdistinctness. References Onthe classical LFGview, different PRBD values are incomAbeille, Anneand Danielle Godard.1994. 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