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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.…

Logic in Computer Science · Computer Science 2007-05-23 Hector Ruiz Barradas , Didier Bert

We present several new characterizations of correlated equilibria in games with continuous utility functions. These have the advantage of being more computationally and analytically tractable than the standard definition in terms of…

Computer Science and Game Theory · Computer Science 2011-06-06 Noah D. Stein , Pablo A. Parrilo , Asuman Ozdaglar

Truth, consistency and elementary equivalence can all be characterised in terms of games, namely the so-called evaluation game, the model-existence game, and the Ehrenfeucht-Fraisse game. We point out the great affinity of these games to…

Logic · Mathematics 2023-03-23 Jouko Väänänen

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

The definition and implementation of fairness in automated decisions has been extensively studied by the research community. Yet, there hides fallacious reasoning, misleading assertions, and questionable practices at the foundations of the…

Computers and Society · Computer Science 2023-06-05 Robert Lee Poe , Soumia Zohra El Mestari

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…

Computation and Language · Computer Science 2018-07-02 Nicholas Asher , Soumya Paul

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…

Logic in Computer Science · Computer Science 2025-02-19 Yinfeng Li , Emiliano Lorini , Munyque Mittelmann

We explore the following question: Is a decision-making program fair, for some useful definition of fairness? First, we describe how several algorithmic fairness questions can be phrased as program verification problems. Second, we discuss…

Programming Languages · Computer Science 2016-10-20 Aws Albarghouthi , Loris D'Antoni , Samuel Drews , Aditya Nori

An old formalization of the Process Algebra CCS (no value passing, with explicit relabeling operator) on has been ported from HOL88 theorem prover to HOL4 (Kananaskis-11 and later). Transitions between CCS processes are defined by SOS…

Logic in Computer Science · Computer Science 2017-06-20 Chun Tian

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2008-09-02 Joseph Y. Halpern , Rafael Pass

Machine learning is widely used to make decisions with societal impact such as bank loan approving, criminal sentencing, and resume filtering. How to ensure its fairness while maintaining utility is a challenging but crucial issue. Fairness…

Machine Learning · Computer Science 2023-08-14 Simiao Zhang , Jitao Bai , Menghong Guan , Yihao Huang , Yueling Zhang , Jun Sun , Geguang Pu

An intensional model for the programming language PCF is described, in which the types of PCF are interpreted by games, and the terms by certain "history-free" strategies. This model is shown to capture definability in PCF. More precisely,…

Logic in Computer Science · Computer Science 2014-01-21 Samson Abramsky , Radha Jagadeesan , Pasquale Malacaria

Fair allocation of indivisible items among agents is a fundamental and extensively studied problem. However, fairness does not have a single universally accepted definition, leading to a variety of competing fairness notions. Some of these…

Computer Science and Game Theory · Computer Science 2025-10-14 Jugal Garg , Eklavya Sharma

This research seeks to benefit the software engineering society by proposing comparative separation, a novel group fairness notion to evaluate the fairness of machine learning software on comparative judgment test data. Fairness issues have…

Software Engineering · Computer Science 2026-01-13 Xiaoyin Xi , Neeku Capak , Kate Stockwell , Zhe Yu

Definable zero-sum stochastic games involve a finite number of states and action sets, reward and transition functions that are definable in an o-minimal structure. Prominent examples of such games are finite, semi-algebraic or globally…

Optimization and Control · Mathematics 2015-01-05 Jérôme Bolte , Stéphane Gaubert , Guillaume Vigeral

A classic model to study strategic decision making in multi-agent systems is the normal-form game. This model can be generalised to allow for an infinite number of pure strategies leading to continuous games. Multi-objective normal-form…

Computer Science and Game Theory · Computer Science 2023-03-02 Willem Röpke , Carla Groenland , Roxana Rădulescu , Ann Nowé , Diederik M. Roijers

Game semantics aim at describing the interactive behaviour of proofs by interpreting formulas as games on which proofs induce strategies. In this article, we introduce a game semantics for a fragment of first order propositional logic. One…

Logic in Computer Science · Computer Science 2008-12-18 Samuel Mimram

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…

Programming Languages · Computer Science 2017-11-28 Attila Egri-Nagy

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…

Computer Science and Game Theory · Computer Science 2016-02-08 Steen Vester

This paper introduces a unified framework called cooperative extensive form games, which (i) generalizes standard non-cooperative games, and (ii) allows for more complex coalition formation dynamics than previous concepts like…

Theoretical Economics · Economics 2023-09-27 Mehmet S. Ismail
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