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In the context of ontology-mediated querying with description logics (DLs), we study the data complexity of queries in which selected predicates can be closed (OMQCs). We provide a non-uniform analysis, aiming at a classification of the…

Logic in Computer Science · Computer Science 2023-06-22 Carsten Lutz , Inanc Seylan , Frank Wolter

We present a propositional logic to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization…

Artificial Intelligence · Computer Science 2014-08-08 Joseph Y. Halpern , Riccardo Pucella

We give a new, direct proof of the tetrachotomy classification for the model-checking problem of positive equality-free logic parameterised by the model. The four complexity classes are Logspace, NP-complete, co-NP-complete and…

Logic in Computer Science · Computer Science 2024-08-27 Manuel Bodirsky , Marcin Kozik , Florent Madelaine , Barnaby Martin , Michal Wrona

We prove that persuasion is an NP-complete problem.

Computational Complexity · Computer Science 2025-07-09 Alban Grastien

We investigate a correspondence between the complexity hierarchy of constraint satisfaction problems and a hierarchy of logical compactness hypotheses for finite relational structures. It seems that the harder a constraint satisfaction…

Logic · Mathematics 2023-06-22 Danny Rorabaugh , Claude Tardif , David Wehlau

Since the introduction by Hodges, and refinement by V\"a\"an\"anen, team semantic constructions have been used to generate expressively enriched logics still conserving nice properties, such as compactness or decidability. In contrast,…

Logic · Mathematics 2023-11-21 Fredrik Engström , Orvar Lorimer Olsson

This paper studies the complexity of classical modal logics and of their extension with fixed-point operators, using translations to transfer results across logics. In particular, we show several complexity results for multi-agent logics…

Logic in Computer Science · Computer Science 2024-08-14 Luca Aceto , Antonis Achilleos , Elli Anastasiadi , Adrian Francalanza , Anna Ingólfsdóttir

We introduce and study logic programs whose clauses are built out of monotone constraint atoms. We show that the operational concept of the one-step provability operator generalizes to programs with monotone constraint atoms, but the…

Artificial Intelligence · Computer Science 2007-05-23 V. W. Marek , I. Niemela , M. Truszczynski]

On one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we divide…

Programming Languages · Computer Science 2007-05-23 Etienne Payet , Fred Mesnard

While it was defined long ago, the extension of CTL with quantification over atomic propositions has never been studied extensively. Considering two different semantics (depending whether propositional quantification refers to the Kripke…

Logic in Computer Science · Computer Science 2015-07-01 François Laroussinie , Nicolas Markey

This paper considers KLM-style preferential non-monotonic reasoning in the setting of propositional team semantics. We show that team-based propositional logics naturally give rise to cumulative non-monotonic entailment relations. Motivated…

Artificial Intelligence · Computer Science 2024-05-14 Kai Sauerwald , Juha Kontinen

On the one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we…

Programming Languages · Computer Science 2009-01-10 Etienne Payet , Fred Mesnard

The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIME-complete in the presence of unrestricted axioms. Several fragments of ALC, notably logics in the FL, EL, and…

Logic in Computer Science · Computer Science 2017-07-19 Arne Meier , Thomas Schneider

In this paper the reason why entropy reduction (negentropy) can be used to measure the complexity of any computation was first elaborated both in the aspect of mathematics and informational physics. In the same time the equivalence of…

Computational Complexity · Computer Science 2015-09-22 Feng Pan

In this paper, we investigate the parameterized complexity of model checking for Dependence Logic which is a well studied logic in the area of Team Semantics. We start with a list of nine immediate parameterizations for this problem,…

Logic in Computer Science · Computer Science 2021-09-21 Juha Kontinen , Arne Meier , Yasir Mahmood

We study logic for reasoning with if-then formulas describing dependencies between attributes of objects which are observed in consecutive points in time. We introduce semantic entailment of the formulas, show its fixed-point…

Logic in Computer Science · Computer Science 2021-06-17 Jan Triska , Vilem Vychodil

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

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

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

We study hidden-variable models from quantum mechanics, and their abstractions in purely probabilistic and relational frameworks, by means of logics of dependence and independence, based on team semantics. We show that common desirable…

Logic in Computer Science · Computer Science 2022-01-28 Rafael Albert , Erich Grädel
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