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Within the possibilistic approach to uncertainty modeling, the paper presents a modal logical system to reason about qualitative (comparative) statements of the possibility (and necessity) of fuzzy propositions. We relate this qualitative…

Logic in Computer Science · Computer Science 2013-02-28 Petr Hajek , Dagmar Harmancová , Francesc Esteva , Pere Garcia , Lluis Godo

We give a tighter lifting theorem for security games in the quantum random oracle model. At the core of our main result lies a novel measure-and-reprogram framework that we call coherent reprogramming. This framework gives a tighter lifting…

Quantum Physics · Physics 2025-09-15 Alexandru Cojocaru , Juan Garay , Qipeng Liu , Fang Song

Research in quantum games has flourished during recent years. However, it seems that opinion remains divided about their true quantum character and content. For example, one argument says that quantum games are nothing but 'disguised'…

Quantum Physics · Physics 2007-05-23 Azhar Iqbal

This thesis is concerned with quantitative verification, that is, the verification of quantitative properties of quantitative systems. These systems are found in numerous applications, and their quantitative verification is important, but…

Logic in Computer Science · Computer Science 2022-04-26 Uli Fahrenberg

We provide several tests to determine whether a game is a potential game or whether it is a zero-sum equivalent game---a game which is strategically equivalent to a zero-sum game in the same way that a potential game is strategically…

Computer Science and Game Theory · Computer Science 2020-02-25 Sung-Ha Hwang , Luc Rey-Bellet

Parity games can be used to represent many different kinds of decision problems. In practice, tools that use parity games often rely on a specification in a higher-order logic from which the actual game can be obtained by means of an…

Logic in Computer Science · Computer Science 2022-01-25 Maurice Laveaux , Wieger Wesselink , Tim A. C. Willemse

Combinatorial Game Theory has also been called `additive game theory', whenever the analysis involves sums of independent game components. Such {\em disjunctive sums} invoke comparison between games, which allows abstract values to be…

Combinatorics · Mathematics 2021-01-29 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Using semi-tensor product of matrices, the structures of several kinds of symmetric games are investigated via the linear representation of symmetric group in the structure vector of games as its representation space. First of all, the…

Computer Science and Game Theory · Computer Science 2017-03-09 Daizhan Cheng , Ting Liu

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…

Logic in Computer Science · Computer Science 2024-11-12 Giorgi Japaridze

Probabilistic game structures combine both nondeterminism and stochasticity, where players repeatedly take actions simultaneously to move to the next state of the concurrent game. Probabilistic alternating simulation is an important tool to…

Logic in Computer Science · Computer Science 2019-07-10 Chenyi Zhang , Jun Pang

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we study the design of incentives so that a desirable equilibrium is obtained, for instance,…

Computer Science and Game Theory · Computer Science 2021-06-21 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

This paper unifies the concepts of evolutionary games and quantum strategies. First, we state the formulation and properties of classical evolutionary strategies, with focus on the destinations of evolution in 2-player 2-strategy games. We…

Quantum Physics · Physics 2011-04-21 Ming Lam Leung

In the time since a merger of quantum mechanics and game theory was proposed formally in 1999, the two distinct perspectives apparent in this merger of applying quantum mechanics to game theory, referred to henceforth as the theory of…

Quantum Physics · Physics 2013-03-06 Faisal Shah Khan , Simon J. D. Phoenix

Selection of input features such as relevant pieces of text has become a common technique of highlighting how complex neural predictors operate. The selection can be optimized post-hoc for trained models or incorporated directly into the…

Machine Learning · Computer Science 2019-10-29 Shiyu Chang , Yang Zhang , Mo Yu , Tommi S. Jaakkola

We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show…

Logic in Computer Science · Computer Science 2017-06-28 Normann Decker , Peter Habermehl , Martin Leucker , Arnaud Sangnier , Daniel Thoma

In this paper, we introduce open parity games, which is a compositional approach to parity games. This is achieved by adding open ends to the usual notion of parity games. We introduce the category of open parity games, which is defined…

Computer Science and Game Theory · Computer Science 2021-12-30 Kazuki Watanabe , Clovis Eberhart , Kazuyuki Asada , Ichiro Hasuo

The aim of this paper is to study the complexity of the model checking problem MC for inquisitive propositional logic InqB and for inquisitive modal logic InqM, that is, the problem of deciding whether a given finite structure for the logic…

Logic in Computer Science · Computer Science 2024-04-01 Gianluca Grilletti , Ivano Ciardelli

In these lecture notes we investigate the implications of the identification of strategies with quantum operations in game theory beyond the results presented in [J. Eisert, M. Wilkens, and M. Lewenstein, Phys. Rev. Lett. 83, 3077 (1999)].…

Quantum Physics · Physics 2015-06-26 J. Eisert , M. Wilkens

This paper studies the complexity of classical modal logics and of their extension with fixed-point operators, using translations to transfer results across logics. In particular, we show several complexity results for multi-agent logics…

Logic in Computer Science · Computer Science 2022-09-22 Luca Aceto , Antonis Achilleos , Elli Anastasiadi , Adrian Francalanza , Anna Ingolfsdottir

Ehrenfeucht-Fraisse games provide means to characterize elementary equivalence for first-order logic, and by standard translation also for modal logics. We propose a novel generalization of Ehrenfeucht- Fraisse games to hybrid-dynamic…

Logic in Computer Science · Computer Science 2025-06-12 Guillermo Badia , Daniel Gaina , Alexander Knapp , Tomasz Kowalski , Martin Wirsing
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