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We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.…

Logic in Computer Science · Computer Science 2015-11-11 Ron van der Meyden , Manas K. Patra

The notion of a non-deterministic logical matrix (where connectives are interpreted as multi-functions) extends the traditional semantics for propositional logics based on logical matrices (where connectives are interpreted as functions).…

Logic · Mathematics 2024-12-19 Carlos Caleiro , Pedro Filipe , Sérgio Marcelino

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

In this thesis (modal) dependence logic is investigated. It was introduced in 2007 by Jouko V\"a\"aan\"anen as an extension of first-order (resp. modal) logic by the dependence operator =(). For first-order (resp. propositional) variables…

Logic in Computer Science · Computer Science 2012-06-21 Peter Lohmann

We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.…

Logic in Computer Science · Computer Science 2016-06-29 R van der Meyden , M K Patra

We consider logic-based argumentation in which an argument is a pair (Fi,al), where the support Fi is a minimal consistent set of formulae taken from a given knowledge base (usually denoted by De) that entails the claim al (a formula). We…

Computational Complexity · Computer Science 2014-02-28 Nadia Creignou , Uwe Egly , Johannes Schmidt

We define a variant of team semantics called multiteam semantics based on multisets and study the properties of various logics in this framework. In particular, we define natural probabilistic versions of inclusion and independence atoms…

Logic in Computer Science · Computer Science 2015-12-22 Arnaud Durand , Miika Hannula , Juha Kontinen , Arne Meier , Jonni Virtema

This paper investigates formal logics for reasoning about determinacy and independence. Propositional Dependence Logic D and Propositional Independence Logic I are recently developed logical systems, based on team semantics, that provide a…

Logic · Mathematics 2017-12-05 Valentin Goranko , Antti Kuusisto

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

Modal dependence logic was introduced recently by V\"a\"an\"anen. It enhances the basic modal language by an operator =(). For propositional variables p_1,...,p_n, =(p_1,...,p_(n-1);p_n) intuitively states that the value of p_n is…

Logic in Computer Science · Computer Science 2011-04-05 Peter Lohmann , Heribert Vollmer

We extend the two-variable logic on data words with guarded regular binary predicates of the form $\widetilde{L}(x,y)$ that is true if positions $x$ and $y$ are in the same class and the factor strictly between $x$ and $y$ is in the regular…

Logic in Computer Science · Computer Science 2026-05-12 Shibashis Guha , Amaldev Manuel , S P Rishal

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

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

We consider decision problems for relations over finite and infinite words defined by finite automata. We prove that the equivalence problem for binary deterministic rational relations over infinite words is undecidable in contrast to the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Christof Löding , Christopher Spinrath

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 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

The finite satisfiability problem for the two-variable fragment of first-order logic interpreted over trees was recently shown to be ExpSpace-complete. We consider two extensions of this logic. We show that adding either additional binary…

Logic in Computer Science · Computer Science 2016-11-28 Bartosz Bednarczyk , Witold Charatonik , Emanuel Kieroński

We study whether a logic based on team semantics can be enriched with a conditional satisfying minimal requirements--namely, preservation of the closure property of the logic, Modus Ponens, and the Deduction Theorem. We show that such…

Logic · Mathematics 2026-03-03 Fausto Barbero , Fan Yang

We start the study of the enumeration complexity of different satisfiability problems in first-order team logics. Since many of our problems go beyond DelP, we use a framework for hard enumeration analogous to the polynomial hierarchy,…

Logic in Computer Science · Computer Science 2021-01-01 Anselm Haak , Arne Meier , Fabian Müller , Heribert Vollmer

We introduce a new decidable fragment of first-order logic with equality, which strictly generalizes two already well-known ones -- the Bernays-Sch\"onfinkel-Ramsey (BSR) Fragment and the Monadic Fragment. The defining principle is the…

Logic in Computer Science · Computer Science 2016-06-21 Thomas Sturm , Marco Voigt , Christoph Weidenbach