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We classify the computational complexity of the satisfiability, validity and model-checking problems for propositional independence, inclusion, and team logic. Our main result shows that the satisfiability and validity problems for…

Logic in Computer Science · Computer Science 2017-01-06 Miika Hannula , Juha Kontinen , Jonni Virtema , Heribert Vollmer

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 study the data complexity of model-checking for logics with team semantics. We focus on dependence, inclusion, and independence logic formulas under both strict and lax team semantics. Our results delineate a clear…

Logic in Computer Science · Computer Science 2021-08-16 Arnaud Durand , Juha Kontinen , Nicolas de Rugy-Altherre , Jouko Väänänen

We give a comprehensive account on the parameterized complexity of model checking and satisfiability of propositional inclusion and independence logic. We discover that for most parameterizations the problems are either in FPT or…

Logic in Computer Science · Computer Science 2023-07-14 Yasir Mahmood , Jonni Virtema

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

The aim of this paper is to study the complexity of the model checking problem MC for inquisitive propositional logic InqB and for inquisitive modal logic InqM, that is, the problem of deciding whether a given finite structure for the logic…

Logic in Computer Science · Computer Science 2024-04-01 Gianluca Grilletti , Ivano Ciardelli

I consider the following generic scenario: an abstract model M of some 'real' system is only partially presented, or partially known to us, and we have to ensure that the actual system satisfies a given specification, formalised in some…

Logic in Computer Science · Computer Science 2020-12-24 Valentin Goranko

We study the complexity of reasoning tasks for logics in team semantics. Our main focus is on the data complexity of model checking but we also derive new results for logically defined counting and enumeration problems. Our approach is…

Logic in Computer Science · Computer Science 2022-04-04 Arnaud Durand , Juha Kontinen , Jouko Väänänen

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

Modal logics allow reasoning about various modes of truth: for example, what it means for something to be possibly true, or to know that something is true as opposed to merely believing it. This report describes embeddings of propositional…

Logic in Computer Science · Computer Science 2022-05-16 John Rushby

We investigate the computational complexity of the satisfiability problem of modal inclusion logic. We distinguish two variants of the problem: one for the strict and another one for the lax semantics. Both problems turn out to be…

Logic in Computer Science · Computer Science 2017-10-17 Lauri Hella , Antti Kuusisto , Arne Meier , Heribert Vollmer

We provide a complete axiomatization of modal inclusion logic - team-based modal logic extended with inclusion atoms. We review and refine an expressive completeness and normal form theorem for the logic, define a natural deduction proof…

Logic · Mathematics 2025-03-13 Aleksi Anttila , Matilda Häggblom , Fan Yang

We investigate the complexity of the model checking problem for intuitionistic and modal propositional logics over transitive Kripke models. More specific, we consider intuitionistic logic IPC, basic propositional logic BPL, formal…

Computational Complexity · Computer Science 2015-07-01 Martin Mundhenk , Felix Weiss

In this paper, we study several propositional team logics that are closed under unions, including propositional inclusion logic. We prove that all these logics are expressively complete, and we introduce sound and complete systems of…

Logic · Mathematics 2022-02-16 Fan Yang

We study the validity problem for propositional dependence logic, modal dependence logic and extended modal dependence logic. We show that the validity problem for propositional dependence logic is NEXPTIME-complete. In addition, we…

Logic in Computer Science · Computer Science 2016-06-21 Jonni Virtema

Modal dependence logics are modal logics defined on the basis of team semantics and have the downward closure property. In this paper, we introduce sound and complete deduction systems for the major modal dependence logics, especially those…

Logic · Mathematics 2018-12-19 Fan Yang

Standpoint linear temporal logic ($SLTL$) is a recently introduced extension of classical linear temporal logic ($LTL$) with standpoint modalities. Intuitively, these modalities allow to express that, from agent $a$'s standpoint, it is…

Logic in Computer Science · Computer Science 2025-02-28 Rajab Aghamov , Christel Baier , Toghrul Karimov , Rupak Majumdar , Joël Ouaknine , Jakob Piribauer , Timm Spork

We introduce the completeness problem for Modal Logic and examine its complexity. For a definition of completeness for formulas, given a formula of a modal logic, the completeness problem asks whether the formula is complete for that logic.…

Logic in Computer Science · Computer Science 2017-09-20 Antonis Achilleos

In this paper, we initiate a systematic study of the parametrised complexity in the field of Dependence Logics which finds its origin in the Dependence Logic of V\"a\"an\"anen from 2007. We study a propositional variant of this logic (PDL)…

Logic in Computer Science · Computer Science 2020-06-16 Yasir Mahmood , Arne Meier

Rational verification refers to the problem of checking which temporal logic properties hold of a concurrent multiagent system, under the assumption that agents in the system choose strategies that form a game-theoretic equilibrium.…

Logic in Computer Science · Computer Science 2022-07-19 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge
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