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The languages of logics based on team semantics typically only allow atomic negation or restricted negation. In this paper, we explore propositional team-based logics with full (intuitionistic) negation. We demonstrate that including full…

Logic · Mathematics 2024-10-21 Fan Yang

We study the expressivity and the complexity of various logics in probabilistic team semantics with the Boolean negation. In particular, we study the extension of probabilistic independence logic with the Boolean negation, and a recently…

Logic in Computer Science · Computer Science 2024-05-24 Miika Hannula , Minna Hirvonen , Juha Kontinen , Yasir Mahmood , Arne Meier , Jonni Virtema

We prove expressive completeness results for convex propositional and modal team logics, where a logic is convex if, for each formula, if it is true in two teams $t$ and $u$ and $t\subseteq s\subseteq u$, then it is also true in $s$. We…

Logic · Mathematics 2025-03-31 Aleksi Anttila , Søren Brinck Knudstorp

Hintikka and Sandu originally proposed Independence Friendly Logic (IF) as a first-order logic of imperfect information to describe game-theoretic phenomena underlying the semantics of natural language. The logic allows for expressing…

Logic in Computer Science · Computer Science 2023-04-25 Dylan Bellier , Massimo Benerecetti , Dario Della Monica , Fabio Mogavero

Propositional team logic is the propositional analog to first-order team logic. Non-classical atoms of dependence, independence, inclusion, exclusion and anonymity can be expressed in it, but for all atoms except dependence only exponential…

Logic in Computer Science · Computer Science 2023-06-22 Martin Lück , Miikka Vilander

We study the complexity of predicate logics based on team semantics. We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem…

Logic in Computer Science · Computer Science 2016-06-21 Juha Kontinen , Antti Kuusisto , Jonni Virtema

We address the relative expressiveness of defeasible logics in the framework DL. Relative expressiveness is formulated as the ability to simulate the reasoning of one logic within another logic. We show that such simulations must be…

Artificial Intelligence · Computer Science 2021-02-16 Michael Maher

Inquisitive team logic is a variant of inquisitive logic interpreted in team semantics, which has been argued to provide a natural setting for the regimentation of dependence claims. With respect to sentences, this logic is known to be…

Logic · Mathematics 2026-03-10 Juha Kontinen , Ivano Ciardelli

Coalition Logic studies what coalitions can enforce. Recent work treats inability as simple non-ability: $\neg\Eff{C}\varphi$. This conflates two distinct configurations -- a coalition unable to force $\varphi$ may still force…

Logic in Computer Science · Computer Science 2026-05-07 Shanxia Wang

We study the two-variable fragments D^2 and IF^2 of dependence logic and independence-friendly logic. We consider the satisfiability and finite satisfiability problems of these logics and show that for D^2, both problems are…

Logic in Computer Science · Computer Science 2011-04-19 Juha Kontinen , Antti Kuusisto , Peter Lohmann , Jonni Virtema

We study the logic FO(~), the extension of first-order logic with team semantics by unrestricted Boolean negation. It was recently shown axiomatizable, but otherwise has not yet received much attention in questions of computational…

Logic in Computer Science · Computer Science 2018-04-16 Martin Lück

Ordinary first-order logic has the property that two formulas \phi and \psi have the same meaning in a structure if and only if the formula ``\phi iff \psi'' is true in the structure. We prove that independence-friendly logic does not have…

Logic · Mathematics 2008-07-01 Allen L. Mann

Team Semantics is a generalization of Tarskian Semantics that can be used to add to First Order Logic atoms and connectives expressing dependencies between the possible values of variables. Some of these extensions are more expressive than…

Logic · Mathematics 2021-05-13 Pietro Galliani

We introduce some new logics of imperfect information by adding atomic formulas corresponding to inclusion and exclusion dependencies to the language of first order logic. The properties of these logics and their relationships with other…

Logic · Mathematics 2011-06-14 Pietro Galliani

Goedel's completeness theorem is concerned with provability, while Girard's theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proofs. Our purpose is to look for a connection between these two…

Logic in Computer Science · Computer Science 2015-07-01 Michele Basaldella , Kazushige Terui

In this article we study linear temporal logics with team semantics (TeamLTL) that are novel logics for defining hyperproperties. We define Kamp-type translations of these logics into fragments of first-order team logic and second-order…

Logic in Computer Science · Computer Science 2021-10-22 Juha Kontinen , Max Sandström

(Maher 2012) introduced an approach for relative expressiveness of defeasible logics, and two notions of relative expressiveness were investigated. Using the first of these definitions of relative expressiveness, we show that all the…

Logic in Computer Science · Computer Science 2024-05-15 Michael J. Maher

The computational properties of modal and propositional dependence logics have been extensively studied over the past few years, starting from a result by Sevenster showing NEXPTIME-completeness of the satisfiability problem for modal…

Logic in Computer Science · Computer Science 2023-06-22 Miika Hannula

We present three syntactic forcing models for coherent logic. These are based on sites whose underlying category only depends on the signature of the coherent theory, and they do not presuppose that the logic has equality. As an application…

Logic · Mathematics 2017-12-22 Marc Bezem , Ulrik Buchholtz , Thierry Coquand

Recently, we had to realize that more and more game theoretical articles have been published in peer-reviewed journals with severe logical deficiencies. In particular, we observed that the indirect proof was not applied correctly. These…

Computer Science and Game Theory · Computer Science 2015-09-22 Holger Ingmar Meinhardt
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