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Using the probability theory-based approach, this paper reveals the equivalence of an arbitrary NP-complete problem to a problem of checking whether a level set of a specifically constructed harmonic cost function (with all diagonal entries…

Computational Complexity · Computer Science 2012-08-06 Alexander Y. Davydov

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

Although Dynamic Epistemic Logic (DEL) is an influential logical framework for representing and reasoning about information change, little is known about the computational complexity of its associated decision problems. In fact, we only…

Logic in Computer Science · Computer Science 2013-10-29 Guillaume Aucher , Francois Schwarzentruber

The unification problem in a propositional logic is to determine, given a formula F, whether there exists a substitution s such that s(F) is in that logic. In that case, s is a unifier of F. When a unifiable formula has minimal complete…

Logic in Computer Science · Computer Science 2020-04-20 Philippe Balbiani , Çiğdem Gencer , Maryam Rostamigiv , Tinko Tinchev

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton, are there words accepted with probability arbitrarily close to 1? This problem was proved undecidable recently; to…

Formal Languages and Automata Theory · Computer Science 2017-01-11 Nathanaël Fijalkow , Hugo Gimbert , Edon Kelmendi , Youssouf Oualhadj

Satisfiability checking for monotone modal logic is known to be (only) NP-complete. We show that this remains true when the logic is extended with aconjunctive and alternation-free fixpoint operators as well as the universal modality; the…

Logic in Computer Science · Computer Science 2020-05-05 Daniel Hausmann , Lutz Schröder

We introduce and study single-conclusioned nested sequent calculi for a broad class of intuitionistic multi-modal logics known as "intuitionistic grammar logics (IGLs)." These logics serve as the intuitionistic counterparts of classical…

Logic in Computer Science · Computer Science 2026-05-06 Tim S. Lyon

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 present an algebraic view on logic programming, related to proof theory and more specifically linear logic and geometry of interaction. Within this construction, a characterization of logspace (deterministic and non-deterministic)…

Logic in Computer Science · Computer Science 2014-06-10 Clément Aubert , Marc Bagnol , Paolo Pistone , Thomas Seiller

We introduce a novel logic for the specification of context-free hyperproperties, which capture, e.g., the flow of information in security-critical recursive systems. Intuitively, the logic extends visibly pushdown automata by…

Logic in Computer Science · Computer Science 2026-05-07 Sarah Winter , Martin Zimmermann

The paper studies hereditarily complete superintuitionistic deductive systems, that is, the deductive system which logic is an extension of the intuitionistic propositional logic. It is proven that for deductive systems a criterion of…

Logic · Mathematics 2016-11-16 Alex Citkin

We propose the Cyclic Permutation Test (CPT) to test general linear hypotheses for linear models. This test is non-randomized and valid in finite samples with exact Type I error $\alpha$ for an arbitrary fixed design matrix and arbitrary…

Methodology · Statistics 2021-01-01 Lihua Lei , Peter J. Bickel

We show that intuitionistic logic is deductively equivalent to Connexive Heyting Logic (CHL), hereby introduced as an example of a strong connexive logic with intuitive semantics. We use the reverse algebraisation paradigm: CHL is presented…

Logic · Mathematics 2022-09-01 Davide Fazio , Antonio Ledda , Francesco Paoli

We extend the meet-implication fragment of propositional intuitionistic logic with a meet-preserving modality. We give semantics based on semilattices and a duality result with a suitable notion of descriptive frame. As a consequence we…

Logic · Mathematics 2023-06-22 Jim de Groot , Dirk Pattinson

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

Model counting is the problem of computing the number of models that satisfy a given propositional theory. It has recently been applied to solving inference tasks in probabilistic logic programming, where the goal is to compute the…

Artificial Intelligence · Computer Science 2014-11-21 Rehan Abdul Aziz , Geoffrey Chu , Christian Muise , Peter Stuckey

Probabilistic timed automata are an extension of timed automata with discrete probability distributions. We consider model-checking algorithms for the subclasses of probabilistic timed automata which have one or two clocks. Firstly, we show…

Logic in Computer Science · Computer Science 2019-03-14 Marcin Jurdzinski , Francois Laroussinie , Jeremy Sproston

We offer the proofs that complete our article introducing the propositional calculus called semi-intuitionistic logic with strong negation.

Logic · Mathematics 2017-09-01 Juan Manuel Cornejo , Ignacio Viglizzo

The paper studies the expressivity, relative succinctness and complexity of satisfiability for hybrid extensions of the branching-time logics CTL and CTL+ by variables. Previous complexity results show that only fragments with one variable…

Logic in Computer Science · Computer Science 2015-05-13 Ahmet Kara , Martin Lange , Thomas Schwentick , Volker Weber

We show that constructible models of arbitrary complete continuous first-order theories are unique up to isomorphism.

Logic · Mathematics 2025-01-07 James E. Hanson
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