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We study first-order logic over unordered structures whose elements carry a finite number of data values from an infinite domain. Data values can be compared wrt.\ equality. As the satisfiability problem for this logic is undecidable in…

Logic in Computer Science · Computer Science 2024-08-07 Benedikt Bollig , Arnaud Sangnier , Olivier Stietel

Among the various forms of reasoning studied in the context of artificial intelligence, qualitative reasoning makes it possible to infer new knowledge in the context of imprecise, incomplete information without numerical values. In this…

Artificial Intelligence · Computer Science 2026-02-10 Quentin Cohen-Solal , Alexandre Niveau , Maroua Bouzid

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

The interplay between process behaviour and spatial aspects of computation has become more and more relevant in Computer Science, especially in the field of collective adaptive systems, but also, more generally, when dealing with systems…

Logic in Computer Science · Computer Science 2014-06-27 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

Artificial Intelligence · Computer Science 2013-04-05 Hung-Trung Nguyen

Assembly of large scale structural systems in space is understood as critical to serving applications that cannot be deployed from a single launch. Recent literature proposes the use of discrete modular structures for in-space assembly and…

Multiagent Systems · Computer Science 2020-08-28 Allan Costa , Benjamin Jenett , Irina Kostitsyna , Amira Abdel-Rahman , Neil Gershenfeld , Kenneth Cheung

Logical specifications are widely used to represent software systems and their desired properties. Under system degradation or environmental changes, commonly seen in complex real-world robotic systems, these properties may no longer hold…

Logic in Computer Science · Computer Science 2025-10-20 Ben M. Andrew

Given a static vertex-selection problem (e.g. independent set, dominating set) on a graph, we can define a corresponding temporally satisfying reconfiguration problem on a temporal graph which asks for a sequence of solutions to the…

Data Structures and Algorithms · Computer Science 2025-09-22 Tom Davot , Jessica Enright , Laura Larios-Jones

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum

The widespread adoption of autonomous systems depends on providing guarantees of safety and functional correctness, at both design time and runtime. Information about the extent to which functional requirements can be met in combination…

Robotics · Computer Science 2016-07-25 Jeremy Morse , Dejanira Araiza-Illan , Jonathan Lawry , Arthur Richards , Kerstin Eder

Rewriting logic is naturally concurrent: several subterms of the state term can be rewritten simultaneously. But state terms are global, which makes compositionality difficult to achieve. Compositionality here means being able to decompose…

Logic in Computer Science · Computer Science 2020-01-31 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

The concept of concrete regularity structure gives the algebraic backbone of the operations involved in the local expansions used in the regularity structure approach to singular stochastic partial differential equations. The spaces and the…

Probability · Mathematics 2024-12-18 I. Bailleul , N. Moench

Reconfigurable interaction induces another dimension of nondeterminism in concurrent systems which makes it hard to reason about the different choices of the system from a global perspective. Namely, (1) choices that correspond to…

Logic in Computer Science · Computer Science 2021-08-02 Yehia Abd Alrahman , Mauricio Martel , Nir Piterman

We describe the development of a logic for reasoning about specifications in the Edinburgh Logical Framework (LF). In this logic, typing judgments in LF serve as atomic formulas, and quantification is permitted over contexts and terms that…

Logic in Computer Science · Computer Science 2018-06-28 Mary Southern , Gopalan Nadathur

We consider parameterized concurrent systems consisting of a finite but unknown number of components, obtained by replicating a given set of finite state automata. Components communicate by executing atomic interactions whose participants…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-08 Marius Bozga , Javier Esparza , Radu Iosif , Joseph Sifakis , Christoph Welzel

We present a theory of parameterized dynamic logic, namely DLp, for specifying and reasoning about a rich set of program models based on their transitional behaviours. Different from most dynamic logics that deal with regular expressions or…

Logic in Computer Science · Computer Science 2025-01-30 Yuanrui Zhang

Matching logic is a formalism for specifying, and reasoning about, mathematical structures, using patterns and pattern matching. Growing in popularity, it has been used to define many logical systems such as separation logic with recursive…

Logic in Computer Science · Computer Science 2022-09-22 Péter Bereczky , Xiaohong Chen , Dániel Horpácsi , Lucas Peña , Jan Tušil

Logic provides a controlled testbed for evaluating LLM-based reasoners, yet standard SAT-style benchmarks often conflate surface difficulty (length, wording, clause order) with the structural phenomena that actually determine…

Artificial Intelligence · Computer Science 2026-02-16 Naïm Es-sebbani , Esteban Marquer , Yakoub Salhi , Zied Bouraoui

Spatial aspects of computation are becoming increasingly relevant in Computer Science, especially in the field of collective adaptive systems and when dealing with systems distributed in physical space. Traditional formal verification…

Logic in Computer Science · Computer Science 2019-03-14 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

Reconfiguration is an important activity for companies selling configurable products or services which have a long life time. However, identification of a set of required changes in a legacy configuration is a hard problem, since even small…

Artificial Intelligence · Computer Science 2011-09-02 Gerhard Friedrich , Anna Ryabokon , Andreas A. Falkner , Alois Haselböck , Gottfried Schenner , Herwig Schreiner