Results for 'Branching time'

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  1.  31
    Email: Tmuel 1 er@ F dm. uni-f reiburg. De.Branching Space-Time & Modal Logic - 2002 - In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer Academic Publishers. pp. 273.
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  2.  11
    Leszek Wronski.Branching Space-Times - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao González, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 135.
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  3.  11
    Nuel Belnap.of Branching Space-Times - 2002 - In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer Academic Publishers.
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  4. Social Indicators of Trust in the Age of Informational Chaos.T. Y. Branch & Gloria Origgi - 2022 - Social Epistemology 36 (5):533-540.
    Expert knowledge regularly informs personal and civic-decision making. To decide which experts to trust, lay publics —including policymakers and experts from other domains—use different epistemic and non-epistemic cues. Epistemic cues such as honesty, like when experts are forthcoming about conflicts of interest, are a popular way of understanding how people evaluate and decide which experts to trust. However, many other epistemic cues, like the evidence supporting information from experts, are inaccessible to lay publics. Therefore, lay publics simultaneously use second-order social (...)
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  5. Branching time and doomsday.Giacomo Andreoletti - 2022 - Ratio 35 (2):79-90.
    Branching time is a popular theory of time that is intended to account for the openness of the future. Generally, branching-time models the openness of the future by positing a multiplicity of concrete alternative futures mirroring all the possible ways the future could unfold. A distinction is drawn in the literature among branching-time theories: those that make use of moment-based structures and those that employ history-based ones. In this paper, I introduce and discuss (...)
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  6.  88
    Branching time, indeterminism and tense logic: Unveiling the Prior–Kripke letters.Thomas Ploug & Peter Øhrstrøm - 2012 - Synthese 188 (3):367-379.
    This paper deals with the historical and philosophical background of the introduction of the notion of branching time in philosophical logic as it is revealed in the hitherto unpublished mail-correspondence between Saul Kripke and A.N. Prior in the late 1950s. The paper reveals that the idea was first suggested by Saul Kripke in a letter to A.N. Prior, dated September 3, 1958, and it is shown how the elaboration of the idea in the course of the correspondence was (...)
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  7.  25
    Fictional branching time?Craig Bourne & Emily Caddick Bourne - 2013 - In Andrea Iacona & Fabrice Correia (eds.), Around the Tree: Semantic and Metaphysical Issues Concerning Branching and the Open Future. Springer. pp. 81-94.
    Some fictions seem to involve branching time, where one time series ‘splits’ into two or two time series ‘fuse’ into one. We provide a new framework for thinking about these fictional representations: not as representations of branching time series but rather as branching representations of linear time series. We explain how branching at the level of the representation creates a false impression that the story describes a branching of the (...) series in the fictional world itself. This involves explaining away the illusion of various causal connections which may at first appear essential to understanding the story as a unified whole. This provides a more accurate account of the relationship between the representation and what is represented, which in turn reveals the extent to which it is legitimate to draw conclusions about actual time from fictional representations. (shrink)
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  8.  63
    Branching time, perfect information games and backward induction.Giacomo Bonanno - 2001 - Games and Economic Behavior 36 (1):57-73.
    The logical foundations of game-theoretic solution concepts have so far been explored within the con¯nes of epistemic logic. In this paper we turn to a di®erent branch of modal logic, namely temporal logic, and propose to view the solution of a game as a complete prediction about future play. The branching time framework is extended by adding agents and by de¯ning the notion of prediction. A syntactic characterization of backward induction in terms of the property of internal consistency (...)
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  9. Branching-time logic with quantification over branches: The point of view of modal logic.Alberto Zanardo - 1996 - Journal of Symbolic Logic 61 (1):1-39.
    In Ockhamist branching-time logic [Prior 67], formulas are meant to be evaluated on a specified branch, or history, passing through the moment at hand. The linguistic counterpart of the manifoldness of future is a possibility operator which is read as `at some branch, or history (passing through the moment at hand)'. Both the bundled-trees semantics [Burgess 79] and the $\langle moment, history\rangle$ semantics [Thomason 84] for the possibility operator involve a quantification over sets of moments. The Ockhamist frames (...)
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  10.  49
    Branching-time logics repeatedly referring to states.Volker Weber - 2009 - Journal of Logic, Language and Information 18 (4):593-624.
    While classical temporal logics lose track of a state as soon as a temporal operator is applied, several branching-time logics able to repeatedly refer to a state have been introduced in the literature. We study such logics by introducing a new formalism, hybrid branching-time logics, subsuming the other approaches and making the ability to refer to a state more explicit by assigning a name to it. We analyze the expressive power of hybrid branching-time logics (...)
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  11. Branching Time, Actuality and the Puzzle of Retrospective Determinacy.Roberto Loss - 2012 - Thought: A Journal of Philosophy 1 (1):16-25.
    The supervaluationist approach to branching time (‘SBT-theory’) appears to be threatened by the puzzle of retrospective determinacy: if yesterday I uttered the sentence ‘It will be sunny tomorrow’ and only in some worlds overlapping at the context of utterance it is sunny the next day, my utterance is to be assessed as neither true nor false even if today is indeed a sunny day. John MacFarlane (“Truth in the Garden of Forking Paths” 81) has recently criticized a promising (...)
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  12.  41
    Linear, branching time and joint closure semantics for temporal logic.Joeri Engelfriet & Jan Treur - 2002 - Journal of Logic, Language and Information 11 (4):389-425.
    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, (...)
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  13.  9
    Branching Time Axiomatized With the Use of Change Operators.Marcin Łyczak - 2023 - Logic Journal of the IGPL 31 (5):894-906.
    We present a temporal logic of branching time with four primitive operators: |$\exists {\mathcal {C}}$| – it may change whether; |$\forall {\mathcal {C}} $| – it must change whether; |$\exists \Box $| – it may be endlessly unchangeable that; and |$\forall \Box $| – it must be endlessly unchangeable that. Semantically, operator |$\forall {\mathcal {C}}$| expresses a change in the logical value of the given formula in every state that may be an immediate successor of the one considered, (...)
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  14.  86
    Transition Semantics for Branching Time.Antje Rumberg - 2016 - Journal of Logic, Language and Information 25 (1):77-108.
    In this paper we develop a novel propositional semantics based on the framework of branching time. The basic idea is to replace the moment-history pairs employed as parameters of truth in the standard Ockhamist semantics by pairs consisting of a moment and a consistent, downward closed set of so-called transitions. Whereas histories represent complete possible courses of events, sets of transitions can represent incomplete parts thereof as well. Each transition captures one of the alternative immediate future possibilities open (...)
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  15.  71
    An extended branching-time ockhamist temporal logic.Mark Brown & Valentin Goranko - 1999 - Journal of Logic, Language and Information 8 (2):143-166.
    For branching-time temporal logic based on an Ockhamist semantics, we explore a temporal language extended with two additional syntactic tools. For reference to the set of all possible futures at a moment of time we use syntactically designated restricted variables called fan-names. For reference to all possible futures alternative to the actual one we use a modification of a difference modality, localized to the set of all possible futures at the actual moment of time.We construct an (...)
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  16.  94
    Completeness of a Branching-Time Logic with Possible Choices.Roberto Ciuni & Alberto Zanardo - 2010 - Studia Logica 96 (3):393-420.
    In this paper we present BTC, which is a complete logic for branchingtime whose modal operator quantifies over histories and whose temporal operators involve a restricted quantification over histories in a given possible choice. This is a technical novelty, since the operators of the usual logics for branching-time such as CTL express an unrestricted quantification over histories and moments. The value of the apparatus we introduce is connected to those logics of agency that are interpreted on branching- (...), as for instance Stit Logics. (shrink)
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  17. Everettian quantum mechanics without branching time.Alastair Wilson - 2012 - Synthese 188 (1):67-84.
    In this paper I assess the prospects for combining contemporary Everettian quantum mechanics (EQM) with branching-time semantics in the tradition of Kripke, Prior, Thomason and Belnap. I begin by outlining the salient features of ‘decoherence-based’ EQM, and of the ‘consistent histories’ formalism that is particularly apt for conceptual discussions in EQM. This formalism permits of both ‘branching worlds’ and ‘parallel worlds’ interpretations; the metaphysics of EQM is in this sense underdetermined by the physics. A prominent argument due (...)
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  18. From Linear to Branching-Time Temporal Logics: Transfer of Semantics and Definability.Valentin Goranko & Alberto Zanardo - 2007 - Logic Journal of the IGPL 15 (1):53-76.
    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 (...)
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  19. (In)determinism, Branching Time, and Branching Space.Alexander Hughes - manuscript
    The branching time analysis grounds the possibilities entailed by temporal indeterminism in a branching temporal structure. I construct a spatial analog of the branching time analysis – the branching space analysis – according to which the possibilities entailed by spatial indeterminism are grounded in branching spatial structure. The construction proceeds in such a way as to show the analogies between the branching space and branching time analyses. I argue that the (...)
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  20.  30
    Prediction in Branching Time Logic.Giacomo Bonanno - 2001 - Mathematical Logic Quarterly 47 (2):239-248.
    When we make a prediction we select, among the conceivable future descriptions of the world, those that appear to us to be most plausible. We capture this by means of two binary relations, ≺c and ≺p: if t1 and t2 are points in time, we interpret t1 ≺ct2 as sayingthat t2 is in the conceivable future of t1, while t1 ≺pt2 is interpreted to mean that t2 isin the predicted future of t1. Within a branching-time framework we (...)
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  21.  8
    Branching Time Structures and Points of View.Margarita Vázquez Campos - 2015 - In Temporal Points of View: Subjective and Objective Aspects. Cham: Springer. pp. 183-195.
    In this paper I analyze the temporal structures that are appropriate to study the notion of point of view. When we analyze the points of view and their structure, it seems clear that we must take into account the time t in which a point of view is attributed to a subject. A two-dimensional temporal logic which combines a modal dimension for possibilities and a temporal one for the flow of time, offers a clear view of the temporary (...)
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  22. Causation in branching time (I): Transitions, events and causes.Ming Xu - 1997 - Synthese 112 (2):137-192.
    We propose a theory of events and causes against the background of branching time. Notions discussed include possibility based on reality, transitions, events, determinacy, contingency, causes and effects. The main idea in defining causal relations is to introduce a certain preconditioning circumstance under which one event follows another. We also briefly compare this theory with some other theories.
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  23. Axiomatization of 'peircean' branching-time logic.Alberto Zanardo - 1990 - Studia Logica 49 (2):183 - 195.
    The branching-time logic called Peircean by Arthur Prior is considered and given an infinite axiomatization. The axiomatization uses only the standard deduction rules for tense logic.
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  24.  14
    Measuring inconsistency in some branching time logics.John Grant - 2021 - Journal of Applied Non-Classical Logics 31 (2):85-107.
    Branching time logics have been studied in computer science since the 1980s primarily to model the tree of computations for discrete transition systems. Inconsistency measures for propositional log...
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  25. Belief Change in Branching Time: AGM-consistency and Iterated Revision. [REVIEW]Giacomo Bonanno - 2012 - Journal of Philosophical Logic 41 (1):201-236.
    We study belief change in the branching-time structures introduced in Bonanno (Artif Intell 171:144–160, 2007 ). First, we identify a property of branching-time frames that is equivalent (when the set of states is finite) to AGM-consistency, which is defined as follows. A frame is AGM-consistent if the partial belief revision function associated with an arbitrary state-instant pair and an arbitrary model based on that frame can be extended to a full belief revision function that satisfies the (...)
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  26.  86
    The decision problem for branching time logic.Yuri Gurevich & Saharon Shelah - 1985 - Journal of Symbolic Logic 50 (3):668-681.
    The theory of trees with additional unary predicates and quantification over nodes and branches embraces a rich branching time logic. This theory was reduced in the companion paper to the first-order theory of binary, bounded, well-founded trees with additional unary predicates. Here we prove the decidability of the latter theory.
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  27. Travelling in Branching Time.Manolo Martínez - 2011 - Disputatio 4 (31):59-75.
    Miller (2005) and Miller (2008) argue that the branching picture of time is incompatible with the possibility of backwards time travel. In this paper I show that Miller’s conclusion is based on a hidden assumption which, while generally plausible, is unwarranted if time travel is possible. Branching time is, after all, compatible with time travel as Miller characterises it.
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  28.  77
    Decidability for branching time.John P. Burgess - 1980 - Studia Logica 39 (2-3):203-218.
    The species of indeterminist tense logic called Peircean by A. N. Prior is proved to be recursively decidable.
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  29. The deontic branching time: two related conceptions.Patrice Bailhache - 1993 - Logique Et Analyse 36:159-175.
  30.  39
    Topological aspects of branching-time semantics.Michela Sabbadin & Alberto Zanardo - 2003 - Studia Logica 75 (3):271 - 286.
    The aim of this paper is to present a new perspective under which branching-time semantics can be viewed. The set of histories (maximal linearly ordered sets) in a tree structure can be endowed in a natural way with a topological structure. Properties of trees and of bundled trees can be expressed in topological terms. In particular, we can consider the new notion of topological validity for Ockhamist temporal formulae. It will be proved that this notion of validity is (...)
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  31.  26
    Axiomatization of a Branching Time Logic with Indistinguishability Relations.Alberto Gatto - 2016 - Journal of Philosophical Logic 45 (2):155-182.
    Trees with indistinguishability relations provide a semantics for a temporal language “composed by” the Peircean tense operators and the Ockhamist modal operator. In this paper, a finite axiomatization with a non standard rule for this language interpreted over bundled trees with indistinguishability relations is given. This axiomatization is proved to be sound and strongly complete.
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  32.  44
    Events in Branching Time.Stefan Wölfl - 2005 - Studia Logica 79 (2):255-282.
    The concept of event is one of the key notions of many theories dealing with causality or agency. In this paper we study different approaches to events that share the basic assumption that events can be analyzed fruitfully in branching-time structures. The terminological framework developed thereby may be helpful for further analyses in the fields of causality and agency and also in those fields of computational semantics, where similar concepts are considered.
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  33.  15
    Future Contingents, Branching time and Assertion.Alessio Santelli - 2020 - Philosophia 49 (2):777-799.
    According to an influential line of thought, from the assumption that indeterminism makes future contingents neither true nor false, one can conclude that assertions of future contingents are never permissible. This conclusion, however, fails to recognize that we ordinarily assert future contingents even when we take the future to be unsettled. Several attempts have been made to solve this puzzle, either by arguing that, albeit truth-valueless, future contingents can be correctly assertable, or by rejecting the claim that future contingents are (...)
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  34. Probabilistic causation in branching time.Mika Oksanen - 2002 - Synthese 132 (1-2):89 - 117.
    A probabilistic and counterfactual theory of causality is developed within the framework of branching time. The theory combines ideas developed by James Fetzer, Donald Nute, Patrick Suppes, Ming Xu, John Pollock, David Lewis and Mellor among others.
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  35.  36
    Logic, planning agency and branching time.Ricardo Souza Silvestre - 2010 - Principia: An International Journal of Epistemology 14 (3):421-438.
    O propósito desse artigo é fornecer um tratamento formal para um tipo de ação até o momento negligenciada nas lógicas modais filosóficas da ação: ação em plano. Ao fazer isso nós seguimos a abordagem padrão nas lógicas modais da ação exemplificados pelos trabalhos de Belnap, Chellas and Pörn. Como nós acreditamos que existe uma relação forte entre plano, tempo e indeterminismo, nós usamos a teoria do tempo ramificado para investigar as características básicas da ação em plano. Além de introduzir uma (...)
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  36.  63
    Future Contingents, Branching time and Assertion.Alessio Santelli - 2020 - Philosophia 49 (2):777-799.
    According to an influential line of thought, from the assumption that indeterminism makes future contingents neither true nor false, one can conclude that assertions of future contingents are never permissible. This conclusion, however, fails to recognize that we ordinarily assert future contingents even when we take the future to be unsettled. Several attempts have been made to solve this puzzle, either by arguing that, albeit truth-valueless, future contingents can be correctly assertable, or by rejecting the claim that future contingents are (...)
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  37.  55
    Undivided and indistinguishable histories in branching-time logics.Alberto Zanardo - 1998 - Journal of Logic, Language and Information 7 (3):297-315.
    In the tree-like representation of Time, two histories are undivided at a moment t whenever they share a common moment in the future of t. In the present paper, it will first be proved that Ockhamist and Peircean branching-time logics are unable to express some important sentences in which the notion of undividedness is involved. Then, a new semantics for branching-time logic will be presented. The new semantics is based on trees endowed with an indistinguishability (...)
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  38. Możliwe zdarzenia w branching-time.Mateusz Klinowski - 2005 - Diametros 3:1-26.
    Branching is a set-theoretical model of reality that is in accord with contemporary physics. This structure is also a model for some logical calculi. However, if the formal language defined on the basis of branching is to correspond to our ways of speaking about possible events, a number of issues must be clarified. All of them are connected with the notion of possibility that is employed in this language. Yet the apparent need to supplement this language with an (...)
     
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  39.  42
    A note on future branching time.Glenn Kessler - 1975 - Theoria 41 (2):89-95.
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  40.  49
    The master argument and branching time.Lars Gundersen - 1997 - Logic and Logical Philosophy 5:49-60.
    It is argued that reconstructions of the so-called ‘Master Argument’ of Dideros Cronos to the effect that possibility should be understood as present or future truth, essentially relies on two axioms: i) that every true proposition concerning the past is necessary, and ii) that it follows necessarily from a proposition being true that it always has been the case that it would be true. It is furthermore argued that these two axioms are inconsistent in the sense that any tense/modal semantics (...)
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  41.  22
    A natural deduction system for bundled branching time logic.Stefano Baratella & Andrea Masini - 2013 - Journal of Applied Non-Classical Logics 23 (3):268 - 283.
    We introduce a natural deduction system for the until-free subsystem of the branching time logic Although we work with labelled formulas, our system differs conceptually from the usual labelled deduction systems because we have no relational formulas. Moreover, no deduction rule embodies semantic features such as properties of accessibility relation or similar algebraic properties. We provide a suitable semantics for our system and prove that it is sound and weakly complete with respect to such semantics.
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  42.  17
    Prior’s big Y and the Idea of Branching Time.Peter Øhrstrøm & Manuel González - 2022 - History and Philosophy of Logic:1-4.
    In his famous letter to A. N. Prior dated 3 September 1958, Saul Kripke suggested the use of branching time in temporal logic. In this paper, however, it is argued that Prior worked with an idea close to the notion of branching time (‘the big Y’) already the year before he received Kripke’s letter. It is likely that Prior’s findings based on this early study can explain why Prior so quickly accepted the idea of branching (...)
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  43.  39
    Complete axiomatizations for reasoning about knowledge and branching time.Ron van der Meyden & Ka-shu Wong - 2003 - Studia Logica 75 (1):93 - 123.
    Sound and complete axiomatizations are provided for a number of different logics involving modalities for the knowledge of multiple agents and operators for branching time, extending previous work of Halpern, van der Meyden and Vardi [to appear, SIAM Journal on Computing] for logics of knowledge and linear time. The paper considers the system constraints of synchrony, perfect recall and unique initial states, which give rise to interaction axioms. The language is based on the temporal logic CTL*, interpreted (...)
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  44.  16
    Complete Axiomatizations for Reasoning about Knowledge and Branching Time.Ron van der Meyden & Ka-shu Wong - 2003 - Studia Logica 75 (1):93-123.
    Sound and complete axiomatizations are provided for a number of different logics involving modalities for the knowledge of multiple agents and operators for branching time, extending previous work of Halpern, van der Meyden and Vardi [to appear, SIAM Journal on Computing] for logics of knowledge and linear time. The paper considers the system constraints of synchrony, perfect recall and unique initial states, which give rise to interaction axioms. The language is based on the temporal logic CTL*, interpreted (...)
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  45.  85
    Quantification over Sets of Possible Worlds in Branching-Time Semantics.Alberto Zanardo - 2006 - Studia Logica 82 (3):379-400.
    Temporal logic is one of the many areas in which a possible world semantics is adopted. Prior's Ockhamist and Peircean semantics for branching-time, though, depart from the genuine Kripke semantics in that they involve a quantification over histories, which is a second-order quantification over sets of possible worlds. In the paper, variants of the original Prior's semantics will be considered and it will be shown that all of them can be viewed as first-order counterparts of the original semantics.
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  46.  51
    Moment/History Duality in Prior’s Logics of Branching-Time.Alberto Zanardo - 2006 - Synthese 150 (3):483 - 507.
    The basic notions in Prior’s Ockhamist and Peircean logics of branching-time are the notion of moment and that of history (or course of events). In the tree semantics, histories are defined as maximal linearly ordered sets of moments. In the geometrical approach, both moments and histories are primitive entities and there is no set theoretical (and ontological) dependency of the latter on the former. In the topological approach, moments can be defined as the elements of a rank 1 (...)
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  47.  30
    Moment/History Duality in Prior’s Logics of Branching-Time.Alberto Zanardo - 2006 - Synthese 150 (3):483-507.
    The basic notions in Prior's Ockhamist and Peircean logics of branching-time are the notion of moment and that of history. In the tree semantics, histories are defined as maximal linearly ordered sets of moments. In the geometrical approach, both moments and histories are primitive entities and there is no set theoretical dependency of the latter on the former. In the topological approach, moments can be defined as the elements of a rank 1 base of a non-Archimedean topology on (...)
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  48. Relativism and Two Kinds of Branching Time.Dilip Ninan - 2023 - Pacific Philosophical Quarterly 104 (2):465-492.
    This essay examines the case for relativism about future contingents in light of a distinction between two ways of interpreting the ‘branching time’ framework. Focussing on MacFarlane (2014), we break the argument for relativism down into two steps. The first step is an argument for something MacFarlane calls the "Non-Determination Thesis", which is essentially the view that there is no unique actual future. The second step is an argument from the Non-Determination Thesis to relativism. I first argue that (...)
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  49. A theory of conditionals in the context of branching time.Richmond Thomason & Anil Gupta - 1980 - Philosophical Review 89 (1):65-90.
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  50.  13
    What if, and when? Conditionals, tense, and branching time.Antje Rumberg & Sven Lauer - 2023 - Linguistics and Philosophy 46 (3):533-565.
    Indicative conditionals with present tense antecedents can have ‘shifted’ readings that are unexpected given the semantic behavior of the tenses outside of conditionals. In this paper, we compare two accounts of this phenomenon due to Kaufmann (J Semant 22(3):231–280, 2005) and Schulz (SALT XVIII, pp. 694–710, 2008), by reconstructing them in the framework of branching time. We then propose a novel account of indicative conditionals based on the branching time semantics suggested in Rumberg (J Logic Lang (...)
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