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We introduce the novel notion of winning cores in parity games and develop a deterministic polynomial-time under-approximation algorithm for solving parity games based on winning core approximation. Underlying this algorithm are a number…

计算机科学与博弈论 · 计算机科学 2016-02-08 Steen Vester

We extend concurrent game structures (CGSs) with a simple notion of preference over computations and define a minimal notion of rationality for agents based on the concept of dominance. We use this notion to interpret a CL and an ATL…

计算机科学中的逻辑 · 计算机科学 2025-02-19 Yinfeng Li , Emiliano Lorini , Munyque Mittelmann

This work extends the present author's computational game semantics of Martin-L\"{o}f type theory to the cumulative hierarchy of universes. This extension completes game semantics of all standard types of Martin-L\"{o}f type theory for the…

逻辑 · 数学 2022-03-25 Norihiro Yamada

In this paper, we show how game-theoretic work on conversation combined with a theory of discourse structure provides a framework for studying interpretive bias. Interpretive bias is an essential feature of learning and understanding but…

计算与语言 · 计算机科学 2018-07-02 Nicholas Asher , Soumya Paul

As part of an effort to apply the rigorous guarantees of formal verification to multi-agent systems, the field of equilibrium analysis, also called rational verification, studies equilibria in multiplayer games to reason about system-level…

计算机科学与博弈论 · 计算机科学 2026-04-28 Senthil Rajasekaran , Jean-François Raskin , Moshe Y. Vardi

In many situations, both in human and artificial societies, cooperating agents have different status with respect to the activity and it is not uncommon that certain actions are only allowed to coalitions that satisfy certain criteria,…

组合数学 · 数学 2011-03-15 Tatiana Gvozdeva , Ali Hameed , Arkadii Slinko

Game-theoretic concepts have been extensively studied in economics to provide insight into competitive behaviour and strategic decision making. As computing systems increasingly involve concurrently acting autonomous agents, game-theoretic…

形式语言与自动机理论 · 计算机科学 2022-07-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos , Rui Yan

We present a fixpoint semantics of event systems. The semantics is presented in a general framework without concerns of fairness. Soundness and completeness of rules for deriving "leads-to" properties are proved in this general framework.…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Hector Ruiz Barradas , Didier Bert

We define a game semantics for second order classical arithmetic PA2 (with quantifiers over predicates on integers and full comprehension axiom). Our semantics is effective: moves are described by a finite amount of information and whenever…

计算机科学中的逻辑 · 计算机科学 2016-10-28 Stefano Berardi

Disaggregated evaluation across subgroups is critical for assessing the fairness of machine learning models, but its uncritical use can mislead practitioners. We show that equal performance across subgroups is an unreliable measure of…

An extension of the WHILE-language is developed for programming game-theoretic mechanisms involving multiple agents. Examples of such mechanisms include auctions, voting procedures, and negotiation protocols. A structured operational…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Marc Pauly

Game semantics extends the Curry-Howard isomorphism to a three-way correspondence: proofs, programs, strategies. But the universe of strategies goes beyond intuitionistic logics and lambda calculus, to capture stateful programs. In this…

计算机科学中的逻辑 · 计算机科学 2013-07-09 Martin Churchill , Jim Laird , Guy McCusker

Concurrent separation logic (CSL) is a specification logic for concurrent imperative programs with shared memory and locks. In this paper, we develop a concurrent and interactive account of the logic inspired by asynchronous game semantics.…

编程语言 · 计算机科学 2018-07-24 Paul-André Melliès , Léo Stefanesco

Automata representing game-semantic models of programs are meant to operate in environments whose input-output behaviour is constrained by the rules of a game. This can lead to a notion of equivalence between states which is weaker than the…

编程语言 · 计算机科学 2012-12-18 Dan R. Ghica , Zaid Al-Zobaidi

To develop a full abstract denotational model of a process language based on prebisimulation preorder, its behavioural semantics has two problems: (1) Two processes related by a standard denotational interpretation afford the same finite…

计算机科学中的逻辑 · 计算机科学 2026-05-11 Yong Wang

Being declarative means that we do computer programming on higher levels of abstraction. This vague definition identifies declarativeness with the act of ignoring details, but it is a special case of abstraction. The unspecified part is…

编程语言 · 计算机科学 2017-11-28 Attila Egri-Nagy

In this paper, we introduce game-theoretic semantics (GTS) for Qualitative Choice Logic (QCL), which, in order to express preferences, extends classical propositional logic with an additional connective called ordered disjunction. Firstly,…

计算机科学中的逻辑 · 计算机科学 2022-09-28 Robert Freiman , Michael Bernreiter

Cirquent calculus is a proof system with inherent ability to account for sharing subcomponents in logical expressions. Within its framework, this article constructs an axiomatization CL18 of the basic propositional fragment of computability…

计算机科学中的逻辑 · 计算机科学 2024-11-12 Giorgi Japaridze

Undoing computations of a concurrent system is beneficial in many situations, e.g., in reversible debugging of multi-threaded programs and in recovery from errors due to optimistic execution in parallel discrete event simulation. A number…

计算机科学中的逻辑 · 计算机科学 2024-02-13 Ivan Lanese , Iain Phillips , Irek Ulidowski

A review of the main fairness definitions and fair learning methodologies proposed in the literature over the last years is presented from a mathematical point of view. Following our independence-based approach, we consider how to build…

机器学习 · 统计学 2020-05-29 Eustasio del Barrio , Paula Gordaliza , Jean-Michel Loubes