In the context of truth-functional propositional many-valued logics, Hájek’s Basic Fuzzy Logic BL [14] plays a major rôle. The completeness theorem proved in [7] shows that BL is the logic of all continuous t -norms and their residua. This result, however, does not directly yield any meaningful interpretation of the truth values in BL per se . In an attempt to address this issue, in this paper we introduce a complete temporal semantics for BL. Specifically, we show that (...) BL formulas can be interpreted as modal formulas over a flow of time, where the logic of each instant is Łukasiewicz, with a finite or infinite number of truth values. As a main result, we obtain validity with respect to all flows of times that are non-branching to the future, and completeness with respect to all finite linear flows of time, or to an appropriate single infinite linear flow of time. It may be argued that this reduces the problem of establishing a meaningful interpretation of the truth values in BL logic to the analogous problem for Łukasiewicz logic. (shrink)

An essential part of natural language understanding, and hence of formal semantics, is the interpretation of temporal expressions. But the very variety of temporal phenomena---such as tense, aspect, aktionsart, temporal adverbials, and the temporal structure of extended text---has tended to result in formal semantic analyses using a wide variety of formal tools, often of a complex nature. It seems important to try and find unifying perspectives on this work, and above all, to try and gain (...) some insight into the logical resources needed to deal with natural language temporal phenomena. (shrink)

The English perfect involves two fundamental components of meaning: a truth-conditional one involving temporal notions and a current relevance presupposition best expressed in terms drawn from the analysis of modality. The proposal made here draws much for the Extended Now theory (McCoard 1978 and others), but improves on it by showing that many aspects of the perfect's meaning may be factored out into independent semantic or pragmatic principles.

This paper contributes to the debate about ‘tenseless languages’ by defending a tensed analysis of a superficially tenseless language. The language investigated is St’át’imcets (Lillooet Salish). I argue that although St’át’imcets lacks overt tense morphology, every finite clause in the language possesses a phonologically covert tense morpheme; this tense morpheme restricts the reference time to being non-future. Future interpretations, as well as ‘past future’ would-readings, are obtained by the combination of covert tense with an operator analogous to Abusch’s (1985) WOLL. (...) I offer St’át’imcets-internal evidence (of a kind not previously adduced) that the WOLL-like operator is modal in nature. It follows from the analysis presented here that there are only two (probably related) differences between St’át’imcets and English in the area of tense. The first is that St’át’imcets lacks tense morphemes which are pronounced. The second is that the St’át’imcets tense morpheme is semantically underspecified compared to English ones. In each of these respects, the St’át’imcets tense morpheme displays similar properties to pronouns, which may be covert and which may fail to distinguish person, number or gender. Along the way, I point out several striking and subtle similarities in the interpretive possibilities of St’át’imcets and English. I suggest that these similarities may reveal non-accidental properties of tense systems in natural language. I conclude with discussion of the implications of the analysis for cross-linguistic variation, learnability and the possible existence of tenseless languages. (shrink)

Finite-state descriptions for temporal semantics are outlined through which to distinguish soft inferences reflecting manners of conceptualization from more robust semantic entailments defined over models. Just what descriptions are built (before being interpreted model-theoretically) and how they are grounded in models of reality explain (upon examination) why some inferences are soft.

Tenseless theories of time entail that earlierthan, later than and simultaneous with (i.e.,McTaggart's `B-series') are the only temporalproperties exemplified by events. Such theories oftencome under attack for being unable to satisfactorilyaccount for tensed language. In this essay I arguethat tenseless theories of time are capable of twofeats that critics, such as Quentin Smith, argue arebeyond their grasp: (1) They can coherently explainthe impossibility of translating all tensed sentencesby tenseless counterparts; (2) They can account forcertain obviously valid entailment relations betweentensed sentence (...) types. In analyzing tensed entailmentrelations tenselessly, I favor a date analysis oftensed language over a token-reflexive theory. Theupshot is that tenseless theories of time are notundermined by the linguistic facts. (shrink)

In this paper, I examine the syntax-semantics of subjunctive clauses in (Modern) Greek. These clauses are headed by the particle na and contain a dependent verbal form with no formal mood features: the perfective nonpast (PNP). I propose that the semantics of na is temporal: it introduces the variable now (n) into the syntax. This is necessary because the apparent present tense in the PNP cannot introduce n. The PNP, instead, contains a dependent time variable. This variable (...) cannot be interpreted as a free variable – hence it cannot be identified with the utterance time of the context. This analysis relies on two premises. One is the (quite influential) idea that pronouns and tenses are analogous creatures (Partee 1973, 1984, Heim 1998, Kratzer 1998, and others). The other premise is that at least some polarity items are expressions that contain variables that cannot be interpreted deictically (Giannakidou 1998, 2001). In the present work I suggest to enlarge the domain of phenomena that can receive a unified treatment across individuals, worlds, and tenses, and treat the subjunctive mood as a non-deictic time, thus an instance of a polarity dependency of the temporal kind. It is my hope that the analysis proposed here for the PNP can be used to analyze verbal subjunctives in Romance languages, and perhaps also infinitival forms in English, but investigation of this question will have be left for the future. (shrink)

In this paper we look at the suitability of modern interval-based temporal logic for modeling John Buridan’s treatment of tensed sentences in his Sophismata. Building on the paper, we develop Buridan’s analysis of temporal logic, paying particular attention to his notions of negation and the absolute/relative nature of the future and the past.We introduce a number of standard modern propositional interval temporal logics to illustrate where Buridan’s interval-based temporal analysis differs from the standard modern approaches. We (...) give formal proofs of some claims in, and sketch how the standard modern systems could be defined in terms of Buridan’s proposals, showing that his logic can be taken as more basic. In diesem Aufsatz betrachten wir das Geeignetsein einer modernen intervallbasierten temporalen Logik für die Modellierung von John Buridans Behandlung zeitabhängiger Sätze in seinen Sophismata. Aufbauend auf den Aufsatz stellen wir Buridans Analyse der temporalen Logik dar, mit besonderer Berücksichtigung seiner Begriffe der Negation und der absoluten/relativen Natur der Zukunft und der Vergangenheit. Wir führen einige standardmäßige moderne intervallbasierte temporale Aussagenlogiken ein, um zu illustrieren, wo Buridans intervallbasierte temporale Analyse von den standardmäßigen modernen Zugangsweisen abweicht. Wir geben formale Beweise einiger Behauptungen in an und skizzieren, wie die standardmäßigen modernen Systeme im Sinne der Vorschläge Buridans definiert werden könnten; wir zeigen damit, dass seine Logik als die grundlegendere aufgefasst werden kann. (shrink)

Computational models of semantic memory exploit information about co-occurrences of words in naturally occurring text to extract information about the meaning of the words that are present in the language. Such models implicitly specify a representation of temporal context. Depending on the model, words are said to have occurred in the same context if they are presented within a moving window, within the same sentence, or within the same document. The temporal context model (TCM), which specifies a particular (...) definition of temporal context, has proved useful in the study of episodic memory. The predictive temporal context model (pTCM) uses the same definition of temporal context to generate semantic memory representations. Taken together pTCM and TCM may prove to be part of a general model of declarative memory. (shrink)

ABSTRACT Temporal externalism is the view that the meanings and extensions of linguistic expressions can be partly determined by contingent linguistic and/or conceptual developments that take place after the time of utterance. In this paper, I first clarify what it would take for temporal externalism to be true, relying on the notion of burden-shifting dispositions. I then go on to argue that existing thought experiments give us reason to expect that temporal externalism can be true of some (...) natural kind terms, and present a new thought experiment suggesting it can also be true of some proper names. (shrink)

There has frequently been taken to be a tension, if not an incompatibility, between "externalist" theories of content (which allow the make-up of one's physical environment and the linguistic usage of one's community to contribute to the contents of one's thoughts and utterances) and the "methodologically individualist" intuition that whatever contributes to the content of one's thoughts and utterances must ultimately be grounded in facts about one's own attitudes and behavior. In this dissertation I argue that one can underwrite such (...) externalist theories within a methodologically individualistic framework by understanding semantic norms in terms of the need to reach, for each of one's terms, a type of "equilibrium." Each speaker's commitment to making her _own_ beliefs and applications consistent allows one to incorporate these 'external' factors into the contents of their thoughts and utterances in a way that remains methodologically individualistic. Methodologically individualistic accounts are typically taken to be unable to incorporate 'external' factors such as the world's physical make-up or communal usage because of arguments suggesting that the individual's own beliefs and usage underdetermine or even misidentify what, according to externalist accounts, they mean by their terms. These arguments, however, only seem plausible if one presupposes a comparatively impoverished conception of the individual's beliefs. The beliefs a speaker associates with a given term extend far beyond the handful of sentences they would produce if asked to list such beliefs. In particular, speakers have an implicit, but rich, understanding of their language, their world, and the relation between them. Speakers typically understand languages as shared temporally extended practices about which they can be, both individually and collectively, mistaken. Once this conception of language is taken into account, the ascriptions which purportedly forced 'non-individualistic' conceptions of content upon us (particularly ascriptions which seemed to tie what we meant to social use rather than our own beliefs) turn out to be ultimately grounded in the individual's own beliefs. Indeed, our self-conception does much more than merely underwrite 'non-individualistic' ascriptions.. (shrink)

The purpose of this paper is to describe a set of temporal alethic–deontic systems, i.e. systems that include temporal, alethic and deontic operators. All in all we will consider 2,147,483,648 systems. All systems are described both semantically and proof theoretically. We use a kind of possible world semantics, inspired by the so-called T x W semantics, to characterize our systems semantically and semantic tableaux to characterize them proof theoretically. We also show that all systems are sound (...) and complete with respect to their semantics. (shrink)

This paper presents an approach to artificial intelligence planning based on linear temporal logic (LTL). A simple and easy-to-use planning language is described, Planning Domain Description Language with control Knowledge (PDDL-K), which allows one to specify a planning problem together with heuristic information that can be of help for both pruning the search space and finding better quality plans. The semantics of the language is given in terms of a translation into a set of LTL formulae. Planning is (...) then reduced to “executing” the LTL encoding, i.e. to model search in LTL. The feasibility of the approach has been successfully tested by means of the system Pdk, an implementation of the proposed method. (shrink)

The paper introduces a probabilistic semantics for the paraconsistent temporal logic Ab presented by the authors in a previous work on future contingents. Probabilistic concepts help framing two possible interpretations of the logic in question - a `subjective' and an `objective' one - and explaining the rationale behind both of them. We also sketch a proof-method for Ab and address some considerations regarding the conceptual appeal of our proposal and its possible future developments.

In this paper, I argue that the temporal connective prima (‘before’) is a comparative adverb. The argument is based on a number of grammatical facts from Italian, showing that there is an asymmetry between prima and dopo (‘after’). On the ground of their divergent behaviour, I suggest that dopo has a different grammatical status from prima. I propose a semantic treatment for prima that is based on an independently motivated analysis of comparatives which can be traced back to Seuren (...) (in: Kiefer and Ruwet (eds.) Generative grammar in Europe, 1973). Dopo is analyzed instead as an atomic two-place predicate which contributes a binary relation over events to the sentence meaning. The different semantic treatments of the two connectives provide an explanation for the grammatical asymmetries considered at the outset; interestingly, they also shed some light on other asymmetries between prima and dopo, which are known to hold for the English temporal connectives before and after as well: these asymmetries are related to the veridicality properties, the distribution of NPIs, and the logical properties of these connectives first described in Anscombe (Philos Rev 73:3–24, 1964). (shrink)

Temporal reference in natural language is inherently context dependent: what counts as a moment in one context may be structurally analysed in another context, and vice versa. In this note we outline a way of accounting for this phenomenon within event-based semantics.

Gestures and speech are clearly synchronized in many ways. However, previous studies have shown that the semantic similarity between gestures and speech breaks down as people approach transitions in understanding. Explanations for these gesture–speech mismatches, which focus on gestures and speech expressing different cognitive strategies, have been criticized for disregarding gestures’ and speech's integration and synchronization. In the current study, we applied three different perspectives to investigate gesture–speech synchronization in an easy and a difficult task: temporal alignment, semantic similarity, (...) and complexity matching. Participants engaged in a simple cognitive task and were assigned to either an easy or a difficult condition. We automatically measured pointing gestures, and we coded participant's speech, to determine the temporal alignment and semantic similarity between gestures and speech. Multifractal detrended fluctuation analysis was used to determine the extent of complexity matching between gestures and speech. We found that task difficulty indeed influenced gesture–speech synchronization in all three domains. We thereby extended the phenomenon of gesture–speech mismatches to difficult tasks in general. Furthermore, we investigated how temporal alignment, semantic similarity, and complexity matching were related in each condition, and how they predicted participants’ task performance. Our study illustrates how combining multiple perspectives, originating from different research areas (i.e., coordination dynamics, complexity science, cognitive psychology), provides novel understanding about cognitive concepts in general and about gesture–speech synchronization and task difficulty in particular. (shrink)

This paper investigates logical aspects of combining linear orders as semantics for modal and temporal logics, with modalities for possible paths, resulting in a variety of branching time logics over classes of trees. Here we adopt a unified approach to the Priorean, Peircean and Ockhamist semantics for branching time logics, by considering them all as fragments of the latter, obtained as combinations, in various degrees, of languages and semantics for linear time with a modality for possible (...) paths. We then consider a hierarchy of natural classes of trees and bundled trees arising from a given class of linear orders and show that in general they provide different semantics. We also discuss transfer of definability from linear orders to trees and introduce a uniform translation from Priorean to Peircean formulae which transfers definability of properties of linear orders to definability of properties of all paths in trees. (shrink)

ABSTRACT In this paper we present a new semantic approach for propositional linear temporal logic with discrete time, strongly based in the well-order of IN (the set of natural numbers). We consider temporal connectives which express precedence, posteriority and simultaneity, and they provide a family of expressively complete temporal logics. The selection of the new semantics and connectives used in this work was principally to obtain a suitable executable temporal logic, which can be used for (...) the specification and control of process behaviour in discrete time in a similar way to thai presented by D. Gabbay in [GAB 89], Our new approach has two advantages: firstly, the connectives are defined intuitively so that they have interpretations which relate to properties of interest in real systems; secondly, it provides a new semantics that facilitates simpler proofs of many valid formulas and metatheorems. To confirm this second advantage, we use our semantics to give a formal proof of the Separation Theorem for one of these logics (specifically LN3). The great interest of this Separation Theorem for the executable temporal logic is emphasised by D. Gabbay in [GAB 89], [GAB 88]. (shrink)

The process of revising the beliefs of the actors involved in receiving new information in the form of a representation‐occurrence, i.e. new and contradictory to their current beliefs, can lead to a radical transformation of the latter. This chapter describes two cases such as weak transformation of beliefs and the radical transformation of beliefs. The possible worlds semantics sets out several principles, two of which are of particular interest to us: the rational actor follows a principle of minimal change (...) and seeks to preserve his most “rooted” beliefs. On the contrary, actors who would perform a level 3 Batesonian learning would ipso facto interpret given events in a different way than before, so that they would now interpret the same one in a context that has become different. Such learning would introduce a temporal disruption in individual actors' flow of thoughts, and consequently in the evolution of their network. (shrink)

Temporal logic can be used to describe processes: their behaviour ischaracterized by a set of temporal models axiomatized by a temporaltheory. Two types of models are most often used for this purpose: linearand branching time models. In this paper a third approach, based onsocalled joint closure models, is studied using models which incorporateall possible behaviour in one model. Relations between this approach andthe other two are studied. In order to define constructions needed torelate branching time models, appropriate algebraic (...) notions are defined(in a category theoretical manner) and exploited. In particular, thenotion of joint closure is used to construct one model subsuming a setof models. Using this universal algebraic construction we show that aset of linear models can be merged to a unique branching time model.Logical properties of the described algebraic constructions are studied.The proposed approach has been successfully aplied to obtain anappropriate semantics for non-monotonic reasoning processes based ondefault logic. References are discussed that show the details of theseapplications. (shrink)

Within the philosophy of language, contextualists typically hold (and semantic minimalists deny) that pragmatic elements of an utterance can affect its semantic content. This paper concretizes this debate by analogizing both positions to different kinds of time-travel stories: contextualism is akin to Ludovician narratives that deny the possibility of temporal editing (or “the changing of past events”) while semantic minimalism is aligned with stories that allow the past to be literally altered. By focusing particularly on Denis Villeneuve’s 2016 film (...) Arrival, which portrays a Ludovician model of temporality that firmly denies the possibility of temporal editing, this paper defends the strength of the contextualist position. (shrink)

In all languages, sentences convey information that allows people to locate situations in time. Languages vary: some have tense and tense-like forms, others do not. I will suggest general pragmatic principles to account for how temporal location works in language. The principles have different realizations according to the forms that are syntactically obligatory in a given language.

We present cut-free labelled sequent calculi for a central formalism in logics of agency: STIT logics with temporal operators. These include sequent systems for Ldm , Tstit and Xstit. All calculi presented possess essential structural properties such as contraction- and cut-admissibility. The labelled calculi G3Ldm and G3Tstit are shown sound and complete relative to irreflexive temporal frames. Additionally, we extend current results by showing that also Xstit can be characterized through relational frames, omitting the use of BT+AC frames.

This paper uses Wmatrix to generate semantic tagging to compare corpora of media representations between the American Dream and the Chinese Dream. The USAS tagger is used to assign the semantic field tags to the America Dream Corpus and the Chinese Dream Corpus. The motivation of this study is to replicate the studies using an automated and inclusive method based on semantic tagging. 295–324), and more importantly, to conduct a broad semantic categorization on both national dreams so as to uncover (...) the cultural, social and historical similarities and/or differences. It is found that the cultural difference of the individualistic home and work association of the American Dream versus the collectivistic nation and world attributions of the Chinese Dream. The different historical stage and social-economic contexts are disclosed from the different temporal positions from time category, and the contrastive tags associated with negative representation of the American Dream and positive representation of the Chinese Dream. (shrink)

The standard definition of an instantaneous temporal part cannot properly deal with cases involving time travel. This paper provides a new definition of an instantaneous temporal part by appealing to David Lewis's distinction between external time and personal time. The new definition avoids the problems because it does not allow more than one instantaneous temporal part of an object at each moment of its personal time. We argue that this new definition, combined with our new perdurantist semantic (...) thesis, deals with cases of time travel successfully. (shrink)

Stage theory is the metaphysical view that everyday objects like you and the Eiffel tower are stages—instantaneous temporal parts. Existing defenses of stage theory by Katherine Hawley and Ted Sider quite explicitly include certain semantic claims. Thus Sider says that stages are.

We use a graphic formalism to make explicit differences in the interpretation of temporal relations in natural-language text. Out of the panoply of computational representation methods for time or tense, we select Petri nets, and discuss why. We illustrate their potential for semantics and for sign theorists, by analyzing how some late antique and medieval exegeses understood the narrative of Moses and Pharaoh's magicians, and the former's rod swallowing up the rods of the other ones, once these rods (...) had been turned into crocodiles or snakes. We extend the treatment to another situation concerning the semantics of eating and being eaten. (shrink)

This paper contributes data from Paraguayan Guaraní (Tupí-Guaraní) to the discussion of how temporal reference is determined in tenseless languages. The empirical focus of this study is on finite clauses headed by verbs inflected only for person/number information, which are compatible only with non-future temporal reference in most matrix clause contexts. The paper first explores the possibility of accounting for the temporal reference of such clauses with a phonologically empty non-future tense morpheme, along the lines of Matthewson’s (...) (Linguist Philos 29:673–713, 2006 ) analysis of a similar phenomenon in St’át’imcets (Salish). This analysis is then contrasted with one according to which temporal reference is not constrained by tense in Paraguayan Guaraní, but only by context and temporal adverbials. A comparison of the two analyses, both of which are couched in a dynamic semantic framework, suggests empirical and theoretical advantages of the tenseless analysis over the tensed one. The paper concludes with a discussion of cross-linguistic variation of temporal reference in tensed and tenseless languages. (shrink)

Temporal justification logic is a new family of temporal logics of knowledge in which the knowledge of agents is modelled using a justification logic. In this paper, we present various temporal justification logics involving both past and future time modalities. We combine Artemov’s logic of proofs with linear temporal logic with past, and we also investigate several principles describing the interaction of justification and time. We present two kinds of semantics for our temporal justification (...) logics, one based on interpreted systems and Fitting models and the other based on Mkrtychev models, and further, we establish soundness and completeness. We show that the internalization property holds in some of the temporal justification logics. We further investigate the two well-known epistemic-temporal notions of no forgetting and no learning in the framework of justification logics. Finally, we present temporal justification logics that avoid the logical omniscience problem. (shrink)

Temporal externalists expand Putnam’s and Burge’s semantic externalisms to argue that later uses of words transform the semantic significance of earlier uses. Conflicting intuitions about temporal externalism often turn on different conceptions of linguistic practice, which have mostly not been thematically explicated. I defend a version of temporal externalism that replaces the familiar regularist and normative-regulist conceptions of linguistic practice or use. This alternative identifies practices neither by regularities of use, nor by determinate norms governing their constituent (...) performances, but by the ways those performances bear upon and are accountable to one another. Performances are intelligible as part of a larger pattern of practice, but different performances extend that pattern in partially conflicting ways. The essentially anaphoric concepts of “issues” and “stakes” allow us to talk about how alternative extensions of past performance conflict or otherwise mis-align , and what differences it would make to extend the practice in one way rather than another . The result is to recognize both the interdependence of linguistic performances, and the open texture of concepts, by situating them within broader patterns of discursive interaction with changing circumstances. (shrink)

The purpose of this paper is to describe a set of quantified temporal alethic-deontic systems, i.e., systems that combine temporal alethicdeontic logic with predicate logic. We consider three basic kinds of systems: constant, variable and constant and variable domain systems. These systems can be augmented by either necessary or contingent identity, and every system that includes identity can be combined with descriptors. All logics are described both semantically and proof theoretically. We use a kind of possible world (...) class='Hi'>semantics, inspired by the so-called T × W semantics, to characterize them semantically and semantic tableaux to characterize them proof theoretically. We also show that all systems are sound and complete with respect to their semantics. (shrink)

This much-needed book provides a thorough account of temporal logic, one of the most important areas of logic in computer science today. The book begins with a solid introduction to semantical and axiomatic approaches to temporal logic. It goes on to cover predicate temporal logic, meta-languages, general theories of axiomatization, many dimensional systems, propositional quantifiers, expressive power, Henkin dimension, temporalization of other logics, and decidability results. With its inclusion of cutting-edge results and unifying methodologies, this book is (...) an indispensable reference for both the pure logician and the theoretical computer scientist. (shrink)