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We define a game on distributed Petri nets, where several players interact with each other, and with an environment. The players, or users, have perfect knowledge of the current state, and pursue a common goal. Such goal is expressed by…

Multiagent Systems · Computer Science 2021-07-15 Federica Adobbati , Luca Bernardinello , Lucia Pomello

Modern categorical logic as well as the Kripke and topological models of intuitionistic logic suggest that the interpretation of ordinary "propositional" logic should in general be the logic of subsets of a given universe set. Partitions on…

Logic · Mathematics 2009-12-30 David Ellerman

As a contribution to the challenge of building game-playing AI systems, we develop and analyse a formal language for representing and reasoning about strategies. Our logical language builds on the existing general Game Description Language…

Artificial Intelligence · Computer Science 2014-07-22 Dongmo Zhang , Michael Thielsher

We present a family of logics for reasoning about agents' positions and motion in the plane which have several potential applications in the area of multi-agent systems (MAS), such as multi-agent planning and robotics. The most general…

Artificial Intelligence · Computer Science 2017-02-07 Philippe Balbiani , David Fernández-Duque , Emiliano Lorini

Negotiations, a model of concurrency with multi party negotiation as primitive, have been recently introduced in arXiv:1307.2145, arXiv:1403.4958. We initiate the study of games for this model. We study coalition problems: can a given…

Logic in Computer Science · Computer Science 2015-07-30 Javier Esparza , Philipp Hoffmann

We introduce a new game-theoretic semantics (GTS) for the modal mu-calculus. Our so-called bounded GTS replaces parity games with alternative evaluation games where only finite paths arise; infinite paths are not needed even when the…

Logic · Mathematics 2020-05-22 Lauri Hella , Antti Kuusisto , Raine Rönnholm

Modal fixpoint logics traditionally play a central role in computer science, in particular in artificial intelligence and concurrency. The mu-calculus and its relatives are among the most expressive logics of this type. However, popular…

Logic in Computer Science · Computer Science 2016-06-10 Lutz Schröder , Yde Venema

Cirquent calculus is a proof system manipulating circuit-style constructs rather than formulas. Using it, this article constructs a sound and complete axiomatization CL16 of the propositional fragment of computability logic (the…

Logic in Computer Science · Computer Science 2017-07-18 Giorgi Japaridze

In traditional semantics for classical logic and its extensions, such as modal logic, propositions are interpreted as subsets of a set, as in discrete duality, or as clopen sets of a Stone space, as in topological duality. A point in such a…

Logic · Mathematics 2024-05-14 Wesley H. Holliday

Game Logic is an excellent setting to study proofs-about-programs via the interpretation of those proofs as programs, because constructive proofs for games correspond to effective winning strategies to follow in response to the opponent's…

Logic in Computer Science · Computer Science 2022-10-07 Rose Bohrer , André Platzer

Justification theory is a unifying semantic framework. While it has its roots in non-monotonic logics, it can be applied to various areas in computer science, especially in explainable reasoning; its most central concept is a justification:…

Artificial Intelligence · Computer Science 2020-09-23 Simon Marynissen , Bart Bogaerts , Marc Denecker

We introduce a new game-theoretic semantics (GTS) for the modal mu-calculus. Our so-called bounded GTS replaces parity games with alternative evaluation games where only finite paths arise; infinite paths are not needed even when the…

Logic in Computer Science · Computer Science 2020-09-24 Lauri Hella , Antti Kuusisto , Raine Rönnholm

In the following paper we present a new semantics for the well-known strategic logic ATL. It is based on adding roles to concurrent game structures, that is at every state, each agent belongs to exactly one role, and the role specifies what…

Logic in Computer Science · Computer Science 2012-04-17 Sjur Dyrkolbotn , Piotr Kaźmierczak , Erik Parmann , Truls Pedersen

This paper continues the investigation of the logic of competing theories, be they scientific, social, political etc. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive…

Game semantics and winning strategies offer a potential conceptual bridge between semantics and proof systems of logics. We illustrate this link for hybrid logic -- an extension of modal logic that allows for explicit reference to worlds…

Logic in Computer Science · Computer Science 2022-06-02 Robert Freiman

Concurrent separation logic is distinguished by transfer of state ownership upon parallel composition and framing. The algebraic structure that underpins ownership transfer is that of partial commutative monoids (PCMs). Extant research…

Programming Languages · Computer Science 2021-03-08 František Farka , Aleksandar Nanevski , Anindya Banerjee , Germán Andrés Delbianco , Ignacio Fábregas

We propose a conjugate logic that can capture the behavior of quantum and quantum-like systems. The proposal is similar to the more generic concept of epistemic logic: it encodes knowledge or perhaps more correctly, predictions about…

Quantum Physics · Physics 2024-01-10 Niklas Johansson , Felix Huber , Jan-Åke Larsson

We define a general framework of partition games for formulating two-player pebble games over finite structures. We show that one particular such game, which we call the invertible-map game, yields a family of polynomial-time approximations…

Logic in Computer Science · Computer Science 2015-03-20 Anuj Dawar , Bjarki Holm

In this paper, we introduce an agent-based representation of games, in order to propose a compact representation for multi-party games in game theory. Our method is inspired by concepts in process theory and process algebra. In addition, we…

Computer Science and Game Theory · Computer Science 2021-10-28 Omid Gheibi , Rasoul Ramezanian

We apply to logic programming some recently emerging ideas from the field of reduction-based communicating systems, with the aim of giving evidence of the hidden interactions and the coordination mechanisms that rule the operational…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Bruni , Ugo Montanari , Francesca Rossi
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