Temporal Logic And Tense/Aspect - Brandeis University

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Temporal Logic and Tense/AspectJames PustejovskyBrandeis UniversityOctober 17, 2008CS 112

Tense Grammatical expression of the time of the situationdescribed, relative to some other time (e.g.,moment of speech)PASTPRESENTGeorge admires Mary.George admired Kennedy.FUTURE

Reichenbach Tensed utterances introduce references to 3 ‘time points’–––SISpeech Time: SEvent Time: EReference Time: Rhad [mailed the letter]E [when John came & told me the news]RE R S RStimeThe concept of ‘time point’ is an abstraction –- it can map to an intervalThree temporal relations are defined on these time points– Eat, before, after13 different relations are possible

Reichenbachian Tense Analysis RelationE R SE R SR E SR S EReichenbach’sTense NameAnterior pastSimple pastEnglish TenseNamePast perfectSimple pastPosterior pastExampleI had sleptI sleptI wouldsleepE R SR S EE S RS R ES R EAnterior presentSimple presentPosterior presentPresent perfectSimple presentSimple futureI have sleptI sleepI will sleepJe vaisdormirS E RS E RAnterior futureFuture perfectI will havesleptE S RS R ES R EE R SSimple futurePosterior futureSimple futureI will sleepJe dormiraiI shall begoing tosleepTense is determined byrelation between R and S– Aspect is determined byrelation between E and R– E R, E R, E RRelation of E relative to Snot crucial– R S, R S, R SRepresent R S E asE R SOnly 7 out of 13 relationsare realized in English––6 different forms, simplefuture being ambiguousProgressive no differentfrom simple tenses But I was eating a peach I ate a peach

Tense as Operator: PriorRelationE R SE R SR E SR S ER S EE S RS R ES R EReichenbach’sTense NameAnterior pastSimple pastPRIORPosterior pastPFpAnterior presentSimple presentPosterior presentPppFpPPpPpEnglish TenseNamePast perfectSimple pastExample I had sleptI slept–I wouldsleepPresent perfectSimple presentSimple futureI have sleptI sleepI will sleepJe vaisdormirS E RS E RAnterior futureFPpFuture perfectI will havesleptE S RS R ESimple futureFpSimple futureS R EPosterior futureFFpI will sleepJe dormiraiI shall begoing tosleepFree iterationcaptures many moretenses, I would have sleptPFPφBut also expressesmany non-NL tenses–PPPPφ [It was thecase]4 John hadslept

Aspect Two Varieties– Grammatical Aspect Distinguishes viewpoint on event– Lexical Aspect Distinguishes types of events (situations)(eventualities) Also called Aktionsarten

Grammatical Aspect Perfective – focus on situation as a whole– John built a housebuilt.a.h Imperfective – focus on internal phases of situation– John was building a housewas building.a.h

Aktionsarten STATIVES know, sit, be clever, be happy, killing,accident– ACCOMPLISHMENTS build, cook, destroycan refer to state itself (ingressive) John knows , or toentry into a state (inceptive) John realizes–*John is knowing Bill, *Know the answer, *What Johndid was know the answer ACTIVITIES walk, run, talk, march, paint–if it occurs in period t, a part of it (also an activity) must occur for every/most sub-periods of t–X is Ving entails that X has Ved–John ran for an hour,*John ran in an hour–culminate (telic)–x Vs for an hour does not entail x Vs for alltimes in that hour–X is Ving does not entail that X has Ved.–John booked a flight in an hour, John stoppedbuilding a houseACHIEVEMENTS notice, win, blink, find,reach–instantaneous accomplishments–*John dies for an hour, *John wins for anhour, *John stopped reaching New YorkStativeTelic Dynamic-Durative Activity- Accomplish mentAchieveme nt -E.g.know,havewalk,paintdestroy,buildnotice,win

Different types of tense systemsacross languages Using verbal inflection:–Languages with a two-way contrast: –English: Past (before the moment of speaking) vs. Nonpastpast -ed:She worked hard.nonpast (unmarked): We admire her. I will leave tomorrow.Dyirbal (Australian language): Future vs. nonfuture:future -ñ:bani-ñ‘will come’nofuture -ñu:bani-ñu‘came, is coming’Languages with a three-way distinction: Catalan, Lithuanian: Past vs. Present vs. Future(Cat.)past:treball-à.(Lit.)Dirb-au.present: treball-a.Dirb-u.future: treball-arà.Dirb-siu.‘I worked’‘I work’‘I will work’

Different types of tense systemsacross languages A much richer distinction:– ChiBemba (Bantu language):For past: Remote past (before yesterday)Removed past (yesterday)Near past (earlier today)Immediate past (just léé-bombaBa-kà-bombaBa-ká-bomba‘they’ll work’‘they’ll work’‘they’ll work’‘they’ll work’For future: Immediate future (very soon)Near future (later today)Removed future (tomorrow)Remote future (after tomorrow)

Aspect Internal temporal organization of the situation described byan event. Most common:– Perfective: Situation viewed as a bounded whole.– Imperfective: Looking inside the temporal boundaries of thesituation. Habitual Progressive Other related aspectual distinctions:– Iterative: The action is repeated.– Inceptive: The action is began.– Inchoative: Entering into a state.

Different types of aspect systemsacross languages Some languages use auxiliaries and particles associated withthe verb:English:– Perfective: have Past Participle– Progressive: be Present Participle– Habitual:use to Base formCatalan:– Habitual:soler InfinitiveSol parlar.Solia cantar.– Iterative:I have eaten.I am eating.I used to sing.‘She generally talks.’‘She used to talk’anar(past) (‘to go’) Present PartVatornant ‘She keeps coming back’gopast coming back

Different types of aspect systemsacross languages Other languages use a derivational component:Russian: by means of a system of verbal prefixes– Imperfective: simple verbsJa ˇcitál– Perfective: prefixed verbsJa proˇcitál‘I was reading’‘I (did) read’Finnish: by means of the case of the object– Perfective:Hän luki kirjan(acc.) ‘He read the book’– Imperfective: Hän luki kirjaa(part.) ‘He was reading the book’.Basic meaning: only part of the object being referred to is affected bythe situation.

Tense and Aspect Aspect and Tense generally cross-classify:– Russian: Present:– Only imperfective: ˇcitáju Past:– Imperfective:Ja ˇcitál– Perfective:Ja proˇcitál Future:– Imperfective:?– Perfective:Ja proˇcitáju‘I read’‘I was reading’‘I (did) read’‘I shall read’

Tense and Aspect– Basque: Present:– Imperfect (Gerund Present tense auxiliary)– Perfect (Past Participle Present tense aux.)it’ekartzen duekarri du‘he is bringing it’‘he has brought Past:– Imperfect (Gerund Past tense aux.) ekartzen zuen ‘he brought, used tobring’– Perfect (Past Participle Past tense aux.) ekarri zuen ‘he brought, had brought’ Future:– Simple (Future Participle Pres. tense aux.)ekarriko du‘he will bring it’– Past Future (Future Participle Past tense aux.) ekarriko zuen ‘he would bring’

An interesting case Tense and Aspect in 2 different creoles, evolvedindependently from each other:Base Form(he walks, he walked)Progressivehe is walking, he was walkingPerfectivehe has walked, he had walkedPerfective Progressive(he has/had been walking)Irreal(he would walk, he will walk)Irreal Progressive(he would/will be walking)Irreal Perfective(he would/will have walked)Irreal perfective Progressivehe would/will have beenwalkingHawaiian CreoleHe walkHaitian CreoleLi machéHe stay walkL’ap maché(Li ap maché)Li té machéHe bin walkHe bin stay walkHe go walkHe go stay walkLi t’ap maché(Li té ap maché)L’av machéL’av ap maché(Li av ap maché)He bin go walkLi t’av maché(Li té av maché)He bin go stay walk Li t’av ap maché(Li té av maché)

Temporal Logic and Tense/Aspect Brandeis University James Pustejovsky October 17, 2008 CS 112. Tense Grammatical expression of the time of the situation described, relative to some other time (e.g., moment of speech) George a

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