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Systems of fixpoint equations over complete lattices, consisting of (mixed) least and greatest fixpoint equations, allow one to express a number of verification tasks such as model-checking of various kinds of specification logics or the…

Logic in Computer Science · Computer Science 2021-06-21 Paolo Baldan , Barbara König , Tommaso Padoan

The context of this work is cooperative scheduling, a concurrency paradigm, where task execution is not arbitrarily preempted. Instead, language constructs exist that let a task voluntarily yield the right to execute to another task. The…

Programming Languages · Computer Science 2023-12-29 Reiner Hähnle , Ludovic Henrio

For an arbitrary category, we consider the least class of functors con- taining the projections and closed under finite products, finite coproducts, parameterized initial algebras and parameterized final coalgebras, i.e. the class of…

Logic in Computer Science · Computer Science 2016-10-21 Luigi Santocanale

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…

Logic in Computer Science · Computer Science 2007-05-23 Marc Pauly

Game-semantic models usually start from the core model of the prototypical language PCF, which is characterised by a range of combinatorial constraints on the shape of plays. Relaxing each such constraint usually corresponds to the…

Logic in Computer Science · Computer Science 2019-08-14 Dan R. Ghica

Fairness for Machine Learning has received considerable attention, recently. Various mathematical formulations of fairness have been proposed, and it has been shown that it is impossible to satisfy all of them simultaneously. The literature…

Computers and Society · Computer Science 2019-12-10 Megha Srivastava , Hoda Heidari , Andreas Krause

Although the HO/N games are fully abstract for PCF, the traditional notion of innocence (which underpins these games) is not satisfactory for such language features as non-determinism and probabilistic branching, in that there are stateless…

Programming Languages · Computer Science 2014-09-10 Takeshi Tsukada , C. -H. Luke Ong

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…

Computer Science and Game Theory · Computer Science 2026-04-28 Senthil Rajasekaran , Jean-François Raskin , Moshe Y. Vardi

It is widely agreed that exams must be fair; yet what this exactly means is not made clear. One may mean fairness of treatment, but this merely propagates the fairness or unfairness of pre-existing rules. Fairness of opportunity on the…

General Physics · Physics 2008-04-01 Mathieu Bouville

Game semantics is a denotational semantics presenting compositionally the computational behaviour of various kinds of effectful programs. One of its celebrated achievement is to have obtained full abstraction results for programming…

Logic in Computer Science · Computer Science 2024-09-25 Simon Castellan , Pierre Clairambault

Machine learning systems have been shown to propagate the societal errors of the past. In light of this, a wealth of research focuses on designing solutions that are "fair." Even with this abundance of work, there is no singular definition…

Machine Learning · Computer Science 2020-05-18 Ninareh Mehrabi , Yuzhong Huang , Fred Morstatter

The societal impact of pre-trained language models has prompted researchers to probe them for strong associations between protected attributes and value-loaded terms, from slur to prestigious job titles. Such work is said to probe models…

Computation and Language · Computer Science 2023-04-21 Laura Cabello , Anna Katrine Jørgensen , Anders Søgaard

This paper has two central aims: first, to provide simple conditions under which the generalized games in choice form and, consequently, the abstract economies, admit equilibrium; second, to study the solvability of several types of systems…

Optimization and Control · Mathematics 2016-05-17 Monica Patriche

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We study a game for recognising formal languages, in which two players with imperfect information need to coordinate on a common decision, given private input words correlated by a finite graph. The players have a joint objective to avoid…

Formal Languages and Automata Theory · Computer Science 2016-04-27 Dietmar Berwanger , Marie van den Bogaard

The analysis of concurrent and reactive systems is based to a large degree on various notions of process equivalence, ranging, on the so-called linear-time/branching-time spectrum, from fine-grained equivalences such as strong bisimilarity…

Logic in Computer Science · Computer Science 2014-10-17 Alexander Kurz , Stefan Milius , Dirk Pattinson , Lutz Schröder

Combinatorial Game Theory is a branch of mathematics and theoretical computer science that studies sequential 2-player games with perfect information. Normal play is the convention where a player who cannot move loses. Here, we generalize…

Computer Science and Game Theory · Computer Science 2023-10-31 Prem Kant , Urban Larsson , Ravi K. Rai , Akshay V. Upasany

Argumentation is one of the most popular approaches of defining a~non-monotonic formalism and several argumentation based semantics were proposed for defeasible logic programs. Recently, a new approach based on notions of conflict…

Artificial Intelligence · Computer Science 2014-04-29 Jozef Frtús

In the previous work, we have given a novel, game-semantic model of computation in an intrinsic, non-inductive and non-axiomatic manner, which is similar to Turing machines but beyond computation on natural numbers, e.g., higher-order…

Logic in Computer Science · Computer Science 2019-12-17 Norihiro Yamada

In this paper we provide three new results axiomatizing the core of games in characteristic function form (not necessarily having transferable utility) obeying an innocuous condition (that the set of individually rational pay-off vectors is…

Theoretical Economics · Economics 2024-10-01 Anindya Bhattacharya