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What is a finite-state strategy in a delay game? We answer this surprisingly non-trivial question and present a very general framework for computing such strategies: they exist for all winning conditions that are recognized by automata with…

Computer Science and Game Theory · Computer Science 2017-09-13 Martin Zimmermann

We consider an arbitrary representation of the additive group over a field of characteristic zero and give an explicit description of a finite separating set in the corresponding ring of invariants.

Commutative Algebra · Mathematics 2013-02-05 Emilie Dufresne , Jonathan Elmer , Müfit Sezer

Class field theory furnishes an intrinsic description of the abelian extensions of a number field that is in many cases not of an immediate algorithmic nature. We outline the algorithms available for the explicit computation of such…

Number Theory · Mathematics 2021-03-30 Henri Cohen , Peter Stevenhagen

Concept-based explanations have emerged as a popular way of extracting human-interpretable representations from deep discriminative models. At the same time, the disentanglement learning literature has focused on extracting similar…

Machine Learning · Computer Science 2021-04-15 Dmitry Kazhdan , Botty Dimanov , Helena Andres Terre , Mateja Jamnik , Pietro Liò , Adrian Weller

Multi-agent robotic systems are increasingly operating in real-world environments in close proximity to humans, yet are largely controlled by policy models with inscrutable deep neural network representations. We introduce a method for…

Machine Learning · Computer Science 2023-02-24 Renos Zabounidis , Joseph Campbell , Simon Stepputtis , Dana Hughes , Katia Sycara

The aim of this paper is to introduce a new framework for defining abductive reasoning operators based on a notion of retraction in arbitrary logics defined as satisfaction systems. We show how this framework leads to the design of…

Artificial Intelligence · Computer Science 2018-03-06 Marc Aiguier , Jamal Atif , Isabelle Bloch , Ramón Pino-Pérez

Many data abstraction types, such as networks or set relationships, remain unfamiliar to data workers beyond the visualization research community. We conduct a survey and series of interviews about how people describe their data, either…

Human-Computer Interaction · Computer Science 2020-09-08 Alex Bigelow , Katy Williams , Katherine E. Isaacs

In David Schmidt's PhD work he explored the use of denotational semantics as a programming language. It was part of an effort to not only treat formal semantics as specifications but also as interpreters and input to compiler generators.…

Programming Languages · Computer Science 2013-09-23 Mads Rosendahl

The goal of this paper is to extend classical logic with a generalized notion of inductive definition supporting positive and negative induction, to investigate the properties of this logic, its relationships to other logics in the area of…

Logic in Computer Science · Computer Science 2009-09-25 Marc Denecker

When predictive models are used to support complex and important decisions, the ability to explain a model's reasoning can increase trust, expose hidden biases, and reduce vulnerability to adversarial attacks. However, attempts at…

Machine Learning · Computer Science 2019-07-11 Dimitris Bertsimas , Arthur Delarue , Patrick Jaillet , Sebastien Martin

This article presents a general description of dynamical systems using the language of enriched functors and enriched natural transformations. This framework is essential to establish the equivalence of three descriptions of dynamics -- a…

Category Theory · Mathematics 2025-09-09 Suddhasattwa Das , Tomoharu Suda

Streams, or infinite sequences, are infinite objects of a very simple type, yet they have a rich theory partly due to their ubiquity in mathematics and computer science. Stream differential equations are a coinductive method for specifying…

Logic in Computer Science · Computer Science 2019-03-14 Helle Hvid Hansen , Clemens Kupke , Jan Rutten

In this paper we introduce Epistemic Strategy Logic (ESL), an extension of Strategy Logic with modal operators for individual knowledge. This enhanced framework allows us to represent explicitly and to reason about the knowledge agents have…

Logic in Computer Science · Computer Science 2014-04-04 Francesco Belardinelli

This paper describes a methodology for defining an executable abstract interpreter from a formal description of the semantics of a programming language. Our approach is based on Skeletal Semantics and an abstract interpretation of its…

Programming Languages · Computer Science 2023-09-15 Thomas Jensen , Vincent Rébiscoul , Alan Schmitt

During a research project in which we developed a machine learning (ML) driven visualization system for non-ML experts, we reflected on interpretability research in ML, computer-supported collaborative work and human-computer interaction.…

Human-Computer Interaction · Computer Science 2022-01-19 Jesse Josua Benjamin , Christoph Kinkeldey , Claudia Müller-Birn , Tim Korjakow , Eva-Maria Herbst

These notes offer a unified introduction to spectral methods for the study of complex systems. They are intended as an operative manual rather than a theorem-proof textbook: the emphasis is on tools, identities, and perspectives that can be…

Statistical Mechanics · Physics 2025-09-10 Francesco Caravelli

Conceptualization, a fundamental element of human cognition, plays a pivotal role in human generalizable reasoning. Generally speaking, it refers to the process of sequentially abstracting specific instances into higher-level concepts and…

Computation and Language · Computer Science 2025-08-25 Weiqi Wang , Tianqing Fang , Haochen Shi , Baixuan Xu , Wenxuan Ding , Liyu Zhang , Wei Fan , Jiaxin Bai , Haoran Li , Xin Liu , Yangqiu Song

Typical models of learning assume incremental estimation of continuously-varying decision variables like expected rewards. However, this class of models fails to capture more idiosyncratic, discrete heuristics and strategies that people and…

Machine Learning · Computer Science 2024-02-27 Carlos G. Correa , Thomas L. Griffiths , Nathaniel D. Daw

We propose a new approach to explain Bayesian Networks. The approach revolves around a new definition of a probabilistic argument and the evidence it provides. We define a notion of independent arguments, and propose an algorithm to extract…

Artificial Intelligence · Computer Science 2021-12-03 Jaime Sevilla

We propose a generic termination proof method for rewriting under strategies, based on an explicit induction on the termination property. Rewriting trees on ground terms are modeled by proof trees, generated by alternatively applying…

Logic in Computer Science · Computer Science 2007-05-23 Isabelle Gnaedig , Helene Kirchner