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Recent work by Atserias and Dawar (J. Log. Comp 2019) and Tucker-Foltz (LMCS 2024) has established undefinability results in fixed-point logic with counting (FPC) corresponding to many classical complexity results from the hardness of…

计算机科学中的逻辑 · 计算机科学 2026-03-03 Anuj Dawar , Bálint Molnár

We present a (semi)-algorithm to compute winning strategies for parametric timed games. Previous algorithms only synthesized constraints on the clock parameters for which the game is winning. A new definition of (winning) strategies is…

形式语言与自动机理论 · 计算机科学 2025-06-19 Mikael Bisgaard Dahlsen-Jensen , Baptiste Fievet , Laure Petrucci , Jaco van de Pol

Mean-payoff games play a central role in quantitative synthesis and verification. In a single-dimensional game a weight is assigned to every transition and the objective of the protagonist is to assure a non-negative limit-average weight.…

计算机科学中的逻辑 · 计算机科学 2014-10-22 Yaron Velner

Ensuring that AI systems make strategic decisions aligned with the specified preferences in adversarial sequential interactions is a critical challenge for developing trustworthy AI systems, especially when the environment is stochastic and…

计算机科学与博弈论 · 计算机科学 2025-01-28 Abhishek Ninad Kulkarni , Jie Fu , Ufuk Topcu

Mechanism design is a well-established game-theoretic paradigm for designing games to achieve desired outcomes. This paper addresses a closely related but distinct concept, equilibrium design. Unlike mechanism design, the designer's…

计算机科学与博弈论 · 计算机科学 2024-08-20 Muhammad Najib , Giuseppe Perelli

Partial methods play an important role in formal methods and beyond. Recently such methods were developed for parity games, where polynomial-time partial solvers decide the winners of a subset of nodes. We investigate here how effective…

计算机科学中的逻辑 · 计算机科学 2016-09-15 Patrick Ah-Fat , Michael Huth

Petri nets are a popular formalism for modeling and analyzing distributed systems. Tokens in Petri net models can represent the control flow state or resources produced/consumed by transition firings. We define a resource as a part (a…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Irina Lomazova , Vladimir Bashkin , Petr Jančar

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

计算机科学与博弈论 · 计算机科学 2020-09-07 Robert Prentner

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

计算机科学与博弈论 · 计算机科学 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

High level declarative constraints provide a powerful (and popular) way to define and construct control policies; however, most synthesis algorithms do not support specifying the degree of randomness (unpredictability) of the resulting…

机器人学 · 计算机科学 2021-06-30 Marcell Vazquez-Chanlatte , Sebastian Junges , Daniel J. Fremont , Sanjit Seshia

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

计算机科学中的逻辑 · 计算机科学 2015-11-20 André Platzer

Graph games played by two players over finite-state graphs are central in many problems in computer science. In particular, graph games with $\omega$-regular winning conditions, specified as parity objectives, which can express properties…

计算机科学中的逻辑 · 计算机科学 2018-03-20 Tomáš Brázdil , Krishnendu Chatterjee , Jan Křetínský , Viktor Toman

We introduce good-for-games $\omega$-pushdown automata ($\omega$-GFG-PDA). These are automata whose nondeterminism can be resolved based on the input processed so far. Good-for-gameness enables automata to be composed with games, trees, and…

形式语言与自动机理论 · 计算机科学 2023-06-22 Karoliina Lehtinen , Martin Zimmermann

We consider imperative programs that involve both randomization and pure nondeterminism. The central question is how to find a strategy resolving the pure nondeterminism such that the so-obtained determinized program satisfies a given…

计算机科学中的逻辑 · 计算机科学 2023-11-15 Kevin Batz , Tom Jannik Biskup , Joost-Pieter Katoen , Tobias Winkler

Admissible strategies, i.e. those that are not dominated by any other strategy, are a typical rationality notion in game theory. In many classes of games this is justified by results showing that any strategy is admissible or dominated by…

计算机科学与博弈论 · 计算机科学 2018-05-30 Nicolas Basset , Ismaël Jecker , Arno Pauly , Jean-François Raskin , Marie Van den Bogaard

We consider imperfect information stochastic games where we require the players to use pure (i.e. non randomised) strategies. We consider reachability, safety, B\"uchi and co-B\"uchi objectives, and investigate the existence of…

形式语言与自动机理论 · 计算机科学 2018-03-28 Arnaud Carayol , Christof Löding , Olivier Serre

We consider Markov decision processes (MDP) as generators of sequences of probability distributions over states. A probability distribution is p-synchronizing if the probability mass is at least p in a single state, or in a given set of…

形式语言与自动机理论 · 计算机科学 2018-03-28 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

We study which outcomes are implementable by disclosing coarse statistics of a data-generating process rather than its full distribution. Players observe data whose joint distribution is only partially known: they know the expectations of…

理论经济学 · 经济学 2026-05-11 Francesco Giordano

We study the decidability and complexity of non-cooperative rational synthesis problem (abbreviated as NCRSP) for some classes of probabilistic strategies. We show that NCRSP for stationary strategies and Muller objectives is in 3-EXPTIME,…

计算机科学与博弈论 · 计算机科学 2024-10-01 So Koide , Yoshiaki Takata , Hiroyuki Seki

Planning is one of the most studied problems in computer science. In this paper, we consider the timeline-based approach, where the domain is modeled by a set of independent, but interacting, components, identified by a set of state…

形式语言与自动机理论 · 计算机科学 2019-04-22 Laura Bozzelli , Alberto Molinari , Angelo Montanari , Adriano Peron
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