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Causality and game theory are two influential fields that contribute significantly to decision-making in various domains. Causality defines and models causal relationships in complex policy problems, while game theory provides insights into…

Artificial Intelligence · Computer Science 2025-04-21 Maarten C. Vonk , Mauricio Gonzalez Soto , Anna V. Kononova

Often fairness assumptions need to be made in order to establish liveness properties of distributed systems, but in many situations they lead to false conclusions. This document presents a research agenda aiming at laying the foundations of…

Logic in Computer Science · Computer Science 2019-12-13 Rob van Glabbeek

Synchronous linear constraint system games are nonlocal games that verify whether or not two players share a solution to a given system of equations. Two algebraic objects associated to these games encode information about the existence of…

Quantum Physics · Physics 2021-03-17 Adina Goldberg

Staged trees are a recently-developed, powerful family of probabilistic graphical models. An equivalence class of staged trees has now been characterised, and two fundamental statistical operators have been defined to traverse the…

Methodology · Statistics 2023-01-18 Conor Hughes , Peter Strong , Aditi Shenvi

Natural languages are powerful tools wielded by human beings to communicate information. Among their desirable properties, compositionality has been the main focus in the context of referential games and variants, as it promises to enable…

Computation and Language · Computer Science 2023-05-01 Kevin Denamganaï , Sondess Missaoui , James Alfred Walker

Deep learning has revolutionized many areas of machine learning, from computer vision to natural language processing, but these high-performance models are generally "black box." Explaining such models would improve transparency and trust…

Machine Learning · Computer Science 2023-05-18 Daniel Lundstrom , Meisam Razaviyayn

Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interactions are symmetric, which means that the players are…

Populations and Evolution · Quantitative Biology 2016-05-04 Alex McAvoy , Christoph Hauert

Adaptive machines have the potential to assist or interfere with human behavior in a range of contexts, from cognitive decision-making to physical device assistance. Therefore it is critical to understand how machine learning algorithms can…

Artificial Intelligence · Computer Science 2023-05-03 Benjamin J. Chasnov , Lillian J. Ratliff , Samuel A. Burden

In the flavour of categorical quantum mechanics, we extend nonlocal games to allow quantum questions and answers, using quantum sets (special symmetric dagger Frobenius algebras) and the quantum functions of Musto, Reutter, and Verdon…

Quantum Physics · Physics 2026-01-14 Adina Goldberg

Geuvers and Jacobs (LMCS 2021) formulated the notion of apartness relation on state-based systems modelled as coalgebras. In this context apartness is formally dual to bisimilarity, and gives an explicit proof system for showing that…

Logic in Computer Science · Computer Science 2024-11-06 Jurriaan Rot , Sebastian Junges , Harsh Beohar

Semantic matching is of central importance to many natural language tasks \cite{bordes2014semantic,RetrievalQA}. A successful matching algorithm needs to adequately model the internal structures of language objects and the interaction…

Computation and Language · Computer Science 2015-03-12 Baotian Hu , Zhengdong Lu , Hang Li , Qingcai Chen

Traces form a coarse notion of semantic equivalence between states of a process, and have been studied coalgebraically for various types of system. We instantiate the finitary coalgebraic trace semantics framework of Hasuo et al. for…

Logic in Computer Science · Computer Science 2026-03-03 Benjamin Plummer , Corina Cirstea

Recently, neural approaches to coherence modeling have achieved state-of-the-art results in several evaluation tasks. However, we show that most of these models often fail on harder tasks with more realistic application scenarios. In…

Computation and Language · Computer Science 2019-09-04 Han Cheol Moon , Tasnim Mohiuddin , Shafiq Joty , Xu Chi

Games on graphs provide a natural and powerful model for reactive systems. In this paper, we consider generalized reachability objectives, defined as conjunctions of reachability objectives. We first prove that deciding the winner in such…

Computational Complexity · Computer Science 2012-02-06 Nathanaël Fijalkow , Florian Horn

The relationships between game theory and quantum mechanics let us propose certain quantization relationships through which we could describe and understand not only quantum but also classical, evolutionary and the biological systems that…

Physics and Society · Physics 2016-12-12 Esteban Guevara Hidalgo

Games on graphs provide a natural model for reactive non-terminating systems. In such games, the interaction of two players on an arena results in an infinite path that describes a run of the system. Different settings are used to model…

Computer Science and Game Theory · Computer Science 2011-06-08 Krishnendu Chatterjee , Nathanaël Fijalkow

With increasing game size, a problem of computational complexity arises. This is especially true in real world problems such as in social systems, where there is a significant population of players involved in the game, and the complexity…

Computer Science and Game Theory · Computer Science 2016-09-12 Tatsuya Iwase , Takahiro Shiga

Categories of polymorphic lenses in computer science, and of open games in compositional game theory, have a curious structure that is reminiscent of compact closed categories, but differs in some crucial ways. Specifically they have a…

Category Theory · Mathematics 2017-09-19 Jules Hedges

Relating formal grammars is a hard problem that balances between language equivalence (which is known to be undecidable) and grammar identity (which is trivial). In this paper, we investigate several milestones between those two extremes…

Software Engineering · Computer Science 2015-03-31 Vadim Zaytsev

Open parity games are proposed as a compositional extension of parity games with algebraic operations, forming string diagrams of parity games. A potential application of string diagrams of parity games is to describe a large parity game…

Logic in Computer Science · Computer Science 2025-05-29 Kazuki Watanabe