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We consider team semantics for propositional logic, continuing our previous work (Yang & V\"a\"an\"anen 2016). In team semantics the truth of a propositional formula is considered in a set of valuations, called a team, rather than in an…

Logic · Mathematics 2018-12-19 Fan Yang , Jouko Väänänen

We prove two (strong) undefinability results for logics based on inquisitive semantics (or its variant, team semantics). Namely: 1) we show the undefinability of intuitionistic implication in extended propositional inquisitive logic with…

Logic · Mathematics 2024-07-31 Fausto Barbero

Probabilistic team semantics is a framework for logical analysis of probabilistic dependencies. Our focus is on the axiomatizability, complexity, and expressivity of probabilistic inclusion logic and its extensions. We identify a natural…

Logic in Computer Science · Computer Science 2021-12-22 Miika Hannula , Jonni Virtema

We advance a doxastic interpretation for many of the logical connectives considered in Dependence Logic and in its extensions, and we argue that Team Semantics is a natural framework for reasoning about beliefs and belief updates.

Artificial Intelligence · Computer Science 2013-05-22 Pietro Galliani

We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We establish fascinating…

Logic in Computer Science · Computer Science 2023-04-24 Juha Kontinen , Max Sandström , Jonni Virtema

This paper investigates the contingency of logic within the framework of possible world semantics. Possible world semantics captures the meaning of necessitation, i.e., a statement is necessarily true if it holds in all possible worlds.…

Team semantics is a semantical framework for the study of dependence and independence concepts ubiquitous in many areas such as databases and statistics. In recent works team semantics has been generalised to accommodate also multisets and…

Logic in Computer Science · Computer Science 2018-03-07 Arnaud Durand , Miika Hannula , Juha Kontinen , Arne Meier , Jonni Virtema

This paper presents an extension of temporal epistemic logic with operators that quantify over agent strategies. Unlike previous work on alternating temporal epistemic logic, the semantics works with systems whose states explicitly encode…

Logic in Computer Science · Computer Science 2018-07-13 Xiaowei Huang , Ron van der Meyden

Causal multiteam semantics is a framework where probabilistic dependencies arising from data and causation between variables can be together formalized and studied logically. We consider several logics in the setting of causal multiteam…

Logic in Computer Science · Computer Science 2023-03-22 Fausto Barbero , Jonni Virtema

We introduce a new semantical formalism for logics of imperfect information, based on Game Logic (and, in particular, on van Benthem, Ghosh and Lu's Concurrent Dynamic Game Logic). This new kind of semantics combines aspects from game…

Logic · Mathematics 2017-01-03 Pietro Galliani

We develop team semantics for Linear Temporal Logic (LTL) to express hyperproperties, which have recently been identified as a key concept in the verification of information flow properties. Conceptually, we consider an asynchronous and a…

Logic in Computer Science · Computer Science 2018-06-26 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

The importance of intuitionistic temporal logics in Computer Science and Artificial Intelligence has become increasingly clear in the last few years. From the proof-theory point of view, intuitionistic temporal logics have made it possible…

Logic in Computer Science · Computer Science 2023-06-22 Joseph Boudou , Martín Diéguez , David Fernández-Duque , Philip Kremer

In this paper we provide a unifying description of different types of semantics of modal logic found in the literature via the framework of topological categories. In the style of categorical logic, we establish an exact correspondence…

Category Theory · Mathematics 2023-08-01 Lingyuan Ye

This paper explores how semantic-space reasoning, traditionally used in computational linguistics, can be extended to tactical decision-making in team sports. Building on the analogy between texts and teams -- where players act as words and…

Artificial Intelligence · Computer Science 2026-05-05 Alessio Di Rubbo , Mattia Neri , Remo Pareschi , Marco Pedroni , Roberto Valtancoli , Paolino Zica

In this paper, we introduce a novel team semantics of LTL inspired by inquisitive logic. The main features of the resulting logic, we call InqLTL, are the intuitionistic interpretation of implication and the Boolean semantics of…

Logic in Computer Science · Computer Science 2025-05-19 Laura Bozzelli , Tadeusz Litak , Munyque Mittelmann , Aniello Murano

We define a semantics for first-order logic with generalized quantifiers based on double teams. We also define and investigate a notion of a generalized atom. Such atoms can be used in order to define extensions of first-order logic with a…

Logic · Mathematics 2017-09-01 Antti Kuusisto

We study abstract intermediate justification logics, that is arbitrary intermediate propositional logics extended with a subset of specific axioms of (classical) justification logics. For these, we introduce various semantics by combining…

Logic · Mathematics 2020-08-18 Nicholas Pischke

We study probabilistic team semantics which is a semantical framework allowing the study of logical and probabilistic dependencies simultaneously. We examine and classify the expressive power of logical formalisms arising by different…

Logic in Computer Science · Computer Science 2019-02-26 Miika Hannula , Åsa Hirvonen , Juha Kontinen , Vadim Kulikov , Jonni Virtema

We present a game semantics for intuitionistic type theory. Specifically, we propose categories with families of a new variant of games and strategies for both extensional and intensional variants of the type theory with dependent function,…

Logic in Computer Science · Computer Science 2016-10-05 Norihiro Yamada

In this paper we present a formalization of Intuitionistic Propositional Logic in the Lean proof assistant. Our approach focuses on verifying two completeness proofs for the studied logical system, as well as exploring the relation between…

Logic in Computer Science · Computer Science 2024-11-01 Dafina Trufaş
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