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Two distinct semantics have been considered for knowledge in the context of strategic reasoning, depending on whether players know each other's strategy or not. The problem of distributed synthesis for epistemic temporal specifications is…

Logic in Computer Science · Computer Science 2018-09-05 Bastien Maubert , Aniello Murano

Quite some work in the ATL-tradition uses the differences between various types of strategies (positional, uniform, perfect recall) to give alternative semantics to the same logical language. This paper contributes to another perspective on…

Logic in Computer Science · Computer Science 2016-07-13 Hein Duijf , Jan Broersen

This paper introduces operators, semantics, characterizations, and solution-independent conditions to guarantee temporal logic specifications for hybrid dynamical systems. Hybrid dynamical systems are given in terms of differential…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Hyejin Han , Ricardo G. Sanfelice

Generalized topological spaces are not necessarily closed under finite intersections. Moreover, the whole universe does not need to be open. We use modified version of this framework to establish certain models for non-normal modal logics.…

Logic · Mathematics 2020-05-28 Tomasz Witczak

In a recent paper, the author has shown how Interaction Graphs models for linear logic can be used to obtain implicit characterisations of non-deterministic complexity classes. In this paper, we show how this semantic approach to Implicit…

Computational Complexity · Computer Science 2020-02-04 Thomas Seiller

The field of proof-theoretic semantics (P-tS) offers an alternative approach to meaning in logic that is based on inference and argument (rather than truth in a model). It has been successfully developed for various logics; in particular,…

Logic · Mathematics 2025-03-10 Alexander V. Gheorghiu , Yll Buzoku

This paper exhibits a series of semantic characterisations of sublinear nondeterministic complexity classes. These results fall into the general domain of logic-based approaches to complexity theory and so-called implicit computational…

Logic in Computer Science · Computer Science 2016-09-27 Thomas Seiller

We propose a novel ranking-based semantics for Dung-style argumentation frameworks with the help of conditional logics. Using an intuitive translation for an argumentation framework to generate conditionals, we can apply nonmonotonic…

Artificial Intelligence · Computer Science 2020-08-07 Kenneth Skiba , Matthias Thimm

The language of epistemic specifications and epistemic logic programs extends disjunctive logic programs under the stable model semantics with modal constructs called subjective literals. Using subjective literals, it is possible to check…

Artificial Intelligence · Computer Science 2021-10-06 Jorge Fandinno , Wolfgang Faber , Michael Gelfond

Non-classical logics are used in a wide spectrum of disciplines, including artificial intelligence, computer science, mathematics, and philosophy. The de-facto standard infrastructure for automated theorem proving, the TPTP World, currently…

Artificial Intelligence · Computer Science 2022-02-22 Alexander Steen , David Fuenmayor , Tobias Gleißner , Geoff Sutcliffe , Christoph Benzmüller

This paper considers the complexity and properties of KLM-style preferential reasoning in the setting of propositional logic with team semantics and dependence atoms, also known as propositional dependence logic. Preferential team-based…

Artificial Intelligence · Computer Science 2025-05-14 Kai Sauerwald , Arne Meier , Juha Kontinen

We introduce a new semantics for a logic of explicit and implicit beliefs based on the concept of multi-agent belief base. Differently from existing Kripke-style semantics for epistemic logic in which the notions of possible world and…

Artificial Intelligence · Computer Science 2018-12-19 Emiliano Lorini

Category theory can be used to state formulas in First-Order Logic without using set membership. Several notable results in logic such as proof of the continuum hypothesis can be elegantly rewritten in category theory. We propose in this…

Logic in Computer Science · Computer Science 2022-04-19 Chan Le Duc

Motivated by team semantics and existential second-order logic, we develop a model-theoretic framework for studying second-order objects such as sets and relations. We introduce a notion of abstract elementary team categories that…

Logic · Mathematics 2026-05-08 Tapani Hyttinen , Joni Puljujärvi , Davide Emilio Quadrellaro

Game semantics provides an interactive point of view on proofs, which enables one to describe precisely their dynamical behavior during cut elimination, by considering formulas as games on which proofs induce strategies. We are specifically…

Logic in Computer Science · Computer Science 2015-05-18 Samuel Mimram

Temporal logics stands for a widely adopted family of formalisms for the verification of computational devices, enriching propositional logics by operators predicating on the step-wise behaviour of a system. Its quantified extensions allow…

Logic in Computer Science · Computer Science 2022-01-05 Fabio Gadducci , Davide Trotta

We study extensions of standard description logics to the framework of polyadic modal logic. We promote a natural approach to such logics via general relation algebras that can be used to define operations on relations of all arities. As a…

Logic in Computer Science · Computer Science 2021-08-20 Jonne Iso-Tuisku , Antti Kuusisto

We introduce an intuitionistic modal logic strictly contained in the intuitionistic modal logic IK and being an appropriate candidate for the title of ``minimal normal intuitionistic modal logic''.

Logic · Mathematics 2025-02-27 Philippe Balbiani , Çigdem Gencer

This paper proposes a new approach to defining and expressing algorithms: the notion of {\it task logical} algorithms. This notion allows the user to define an algorithm for a task $T$ as a set of agents who can collectively perform $T$.…

Logic in Computer Science · Computer Science 2015-06-15 Keehang Kwon

We propose a many-sorted modal logic for reasoning about knowledge in multi-agent systems. Our logic introduces a clear distinction between participating agents and the environment. This allows to express local properties of agents and…

Logic in Computer Science · Computer Science 2023-08-02 Eric Goubault , Roman Kniazev , Jérémy Ledent