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We present a game semantics for intuitionistic type theory. Specifically, we propose categories with families of a new variant of games and strategies for both extensional and intensional variants of the type theory with dependent function,…

Logic in Computer Science · Computer Science 2016-10-05 Norihiro Yamada

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

Stochastic games are a convenient formalism for modelling systems that comprise rational agents competing or collaborating within uncertain environments. Probabilistic model checking techniques for this class of models allow us to formally…

Logic in Computer Science · Computer Science 2022-11-14 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Game semantics is a rich and successful class of denotational models for programming languages. Most game models feature a rather intuitive setup, yet surprisingly difficult proofs of such basic results as associativity of composition of…

Logic in Computer Science · Computer Science 2017-11-30 Clovis Eberhart , Tom Hirschowitz

This paper formally models the strategic repeated interactions between a system, comprising of a machine learning (ML) model and associated explanation method, and an end-user who is seeking a prediction/label and its explanation for a…

Computer Science and Game Theory · Computer Science 2022-08-24 Kavita Kumari , Murtuza Jadliwala , Sumit Kumar Jha , Anindya Maiti

Game semantics and winning strategies offer a potential conceptual bridge between semantics and proof systems of logics. We illustrate this link for hybrid logic -- an extension of modal logic that allows for explicit reference to worlds…

Logic in Computer Science · Computer Science 2022-06-02 Robert Freiman

Game theory is used by all behavioral sciences, but its development has long centered around tools for relatively simple games and toy systems, such as the economic interpretation of equilibrium outcomes. Our contribution, compositional…

Computer Science and Game Theory · Computer Science 2023-03-13 Seth Frey , Jules Hedges , Joshua Tan , Philipp Zahn

Predicting the outcomes of cyber-physical systems with multiple human interactions is a challenging problem. This article reviews a game theoretical approach to address this issue, where reinforcement learning is employed to predict the…

Multiagent Systems · Computer Science 2019-10-14 Mert Albaba , Yildiray Yildiz

This paper presents the research on the interdisciplinary research infrastructure for understanding human reasoning in game-theoretic terms. Strategic reasoning is considered to impact human decision making in social, economical and…

Computer Science and Game Theory · Computer Science 2011-05-04 Rustam Tagiew

In multi-agent settings, game theory is a natural framework for describing the strategic interactions of agents whose objectives depend upon one another's behavior. Trajectory games capture these complex effects by design. In competitive…

Computer Science and Game Theory · Computer Science 2022-05-04 Lasse Peters , David Fridovich-Keil , Laura Ferranti , Cyrill Stachniss , Javier Alonso-Mora , Forrest Laine

We use a reformulation of compositional game theory to reunite game theory with game semantics, by viewing an open game as the System and its choice of contexts as the Environment. Specifically, the system is jointly controlled by $n \geq…

Computer Science and Game Theory · Computer Science 2020-09-16 Jules Hedges

We investigate uniformity properties of strategies. These properties involve sets of plays in order to express useful constraints on strategies that are not \mu-calculus definable. Typically, we can state that a strategy is…

Computer Science and Game Theory · Computer Science 2013-03-05 Bastien Maubert , Sophie Pinchinat , Laura Bozzelli

In this chapter, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to build…

Computer Science and Game Theory · Computer Science 2007-12-18 Rawan Ghnemat , Saleh Oqeili , Cyrille Bertelle , Gérard Henry Edmond Duchamp

This paper proposes a generative probabilistic model integrating emergent communication and multi-agent reinforcement learning. The agents plan their actions by probabilistic inference, called control as inference, and communicate using…

Artificial Intelligence · Computer Science 2023-07-12 Tomoaki Nakamura , Akira Taniguchi , Tadahiro Taniguchi

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2009-08-28 Samuel Mimram

Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order…

Logic in Computer Science · Computer Science 2011-01-27 Samuel Mimram

This work uses game theory as a mathematical framework to address interaction modeling in multi-agent motion forecasting and control. Despite its interpretability, applying game theory to real-world robotics, like automated driving, faces…

Machine Learning · Computer Science 2023-12-05 Christopher Diehl , Tobias Klosek , Martin Krüger , Nils Murzyn , Timo Osterburg , Torsten Bertram

We introduce string diagrams as a formal mathematical, graphical language to represent, compose, program and reason about games. The language is well established in quantum physics, quantum computing and quantum linguistic with the…

Computer Science and Game Theory · Computer Science 2016-04-21 Jules Hedges , Evguenia Shprits , Viktor Winschel , Philipp Zahn

In this paper, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to buid…

Multiagent Systems · Computer Science 2007-12-17 Rawan Ghnemat , Khalaf Khatatneh , Saleh Oqeili , Cyrille Bertelle , Gérard Henry Edmond Duchamp

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
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