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By results of Dantzig (1951) and Adler (2013), computing the optimal solutions of a linear program is equivalent to finding optimal strategies in zero-sum bimatrix games. Dantzig's original result was incomplete, in the sense that the…

Optimization and Control · Mathematics 2026-04-27 Jesse Elliott , Constantin Ickstadt , Thorsten Theobald , Elias Tsigaridas

This article presents a new game semantics for Martin-L\"of type theory (MLTT), in which each game is equipped with selected isomorphism strategies that represent (computational) proofs for (intensional) equality between strategies on the…

Logic in Computer Science · Computer Science 2017-05-04 Norihiro Yamada

This paper presents results from the design and testing of an educational version of Quantum Moves, a Scientific Discovery Game that allows players to help solve authentic scientific challenges in the effort to develop a quantum computer.…

Physics Education · Physics 2015-11-06 Rikke Magnussen , Sidse Damgaard Hansen , Tilo Planke , Jacob Friis Sherson

Model-checking HyperLTL, a temporal logic expressing properties of sets of traces with applications to information-flow based security and privacy, has a decidable, but TOWER-complete, model-checking problem. While the classical…

Logic in Computer Science · Computer Science 2025-08-01 Sarah Winter , Martin Zimmermann

We introduce a self-play framework for semantic equivalence in Haskell, utilizing formal verification to guide adversarial training between a generator and an evaluator. The framework leverages Liquid Haskell proofs for validating…

Computation and Language · Computer Science 2026-05-05 Antonio Valerio Miceli Barone , Poon Tsz Nok

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

The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a…

Logic in Computer Science · Computer Science 2014-08-19 Carlos Caleiro , João Marcos , Marco Volpe

We propose "semantic labelling" as a novel ingredient for solving games in the context of LTL synthesis. It exploits recent advances in the automata-based approach, yielding more information for each state of the generated parity game than…

Logic in Computer Science · Computer Science 2019-07-30 Jan Křetínský , Alexander Manta , Tobias Meggendorfer

In this paper we will discuss scoring play games. We will give the basic definitions for scoring play games, and show that they form a well defined set, with clear and distinct outcome classes under these definitions. We will also show that…

Combinatorics · Mathematics 2012-11-08 Fraser Stewart

For several semirings S, two weighted finite automata with multiplicities in S are equivalent if and only if they can be connected by a chain of simulations. Such a semiring S is called "proper". It is known that the Boolean semiring, the…

Formal Languages and Automata Theory · Computer Science 2015-03-14 Zoltan Esik , Andreas Maletti

This paper investigates first-order game logic and first-order modal mu-calculus, which extend their propositional modal logic counterparts with first-order modalities of interpreted effects such as variable assignments. Unlike in the…

Logic in Computer Science · Computer Science 2022-02-14 Noah Abou El Wafa , André Platzer

A categorical approach to study model comparison games in terms of comonads was recently initiated by Abramsky et al. In this work, we analyse games that appear naturally in the context of description logics and supplement them with…

Logic in Computer Science · Computer Science 2022-11-18 Mateusz Urbańczyk

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

We present a bounded equivalence verification technique for higher-order programs with local state. This technique combines fully abstract symbolic environmental bisimulations similar to symbolic game semantics, novel up-to techniques, and…

Programming Languages · Computer Science 2021-10-25 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

We establish a tight connection between two models of the $\lambda$-calculus, namely Milner's encoding into the $\pi$-calculus (precisely, the Internal $\pi$-calculus), and operational game semantics (OGS). We first investigate the…

Logic in Computer Science · Computer Science 2026-05-06 Guilhem Jaber , Davide Sangiorgi

Effectivity functions are the basic formalism for investigating the semantics game logic. We discuss algebraic properties of stochastic effectivity functions, in particular the relationship to stochastic relations, morphisms and congruences…

Logic in Computer Science · Computer Science 2014-04-01 Ernst-Erich Doberkat

I present a formal connection between algebraic effects and game semantics, two important lines of work in programming languages semantics with applications in compositional software verification. Specifically, the algebraic signature…

Programming Languages · Computer Science 2022-11-04 Jérémie Koenig

Data provenance consists in bookkeeping meta information during query evaluation, in order to enrich query results with their trust level, likelihood, evaluation cost, and more. The framework of semiring provenance abstracts from the…

Databases · Computer Science 2022-05-09 Camille Bourgaux , Pierre Bourhis , Liat Peterfreund , Michael Thomazo

In the context of formal verification in general and model checking in particular, parity games serve as a mighty vehicle: many problems are encoded as parity games, which are then solved by the seminal algorithm by Jurdzinski. In this…

Logic in Computer Science · Computer Science 2016-01-12 Ichiro Hasuo , Shunsuke Shimizu , Corina Cirstea

Simple reference games are of central theoretical and empirical importance in the study of situated language use. Although language provides rich, compositional truth-conditional semantics to facilitate reference, speakers and listeners may…

Computation and Language · Computer Science 2018-10-10 Judy Hanwen Shen , Matthias Hofer , Bjarke Felbo , Roger Levy