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We develop a fully diagrammatic approach to finite-state automata, based on reinterpreting their usual state-transition graphical representation as a two-dimensional syntax of string diagrams. In this setting, we are able to provide a…

Logic in Computer Science · Computer Science 2023-06-22 Robin Piedeleu , Fabio Zanasi

This paper proposes schemes for automated and weighted Self-Organizing Time Maps (SOTMs). The SOTM provides means for a visual approach to evolutionary clustering, which aims at producing a sequence of clustering solutions. This task we…

Neural and Evolutionary Computing · Computer Science 2013-11-25 Peter Sarlin

One clock alternating timed automata OCATA have been recently introduced as natural extension of (one clock) timed automata to express the semantics of MTL (Ouaknine, Worrell 2005). We consider the application of OCATA to problem of…

Formal Languages and Automata Theory · Computer Science 2013-04-11 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts

This paper presents the Pi-graphs, a visual paradigm for the modelling and verification of mobile systems. The language is a graphical variant of the Pi-calculus with iterators to express non-terminating behaviors. The operational semantics…

Formal Languages and Automata Theory · Computer Science 2010-11-02 Frédéric Peschanski , Hanna Klaudel , Raymond Devillers

We study a variant of the classical membership problem in automata theory, which consists of deciding whether a given input word is accepted by a given automaton. We do so under a different perspective, that is, we consider a dynamic…

Formal Languages and Automata Theory · Computer Science 2020-02-18 Alejandro Grez , Filip Mazowiecki , Michał Pilipczuk , Gabriele Puppis , Cristian Riveros

Algorithmic meta-theorems provide an important tool for showing tractability of graph problems on graph classes defined by structural restrictions. While such results are well established for static graphs, corresponding frameworks for…

Discrete Mathematics · Computer Science 2026-02-17 Michelle Döring , Jessica Enright , Laura Larios-Jones , George Skretas

This paper presents an operational semantics for UML activity diagrams. The purpose of this semantics is three-fold: to give a robust basis for verifying model correctness; to help validate model transformations; and to provide a…

Logic in Computer Science · Computer Science 2016-04-11 Zamira Daw , Rance Cleaveland

The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal…

Logic in Computer Science · Computer Science 2025-07-30 Alexander Yu. Chunikhin

I/O conformance testing theories (e.g., ioco) are concerned with formally defining when observable output behaviors of an implementation conform to those permitted by a specification. Thereupon, several real-time extensions of ioco, usually…

Logic in Computer Science · Computer Science 2020-02-18 Lars Luthmann , Hendrik Göttmann , Malte Lochau

The theory of finite automata concerns itself with words in a free monoid together with concatenation and without further structure. There are, however, important applications which use alphabets which are structured in some sense. We…

Formal Languages and Automata Theory · Computer Science 2026-02-11 Hugo Bazille , Uli Fahrenberg

A synchronizing word of a deterministic automaton is a word in the alphabet of colors of its edges that maps the automaton to a single state. A coloring of edges of a directed graph is synchronizing if the coloring turns the graph into a…

Discrete Mathematics · Computer Science 2010-11-24 A. N. Trahtman , T. Bauer , N. Cohen

Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions. Input/Output (I/O) Logics are a particular family of so-called norm-based deontic logics that formalize conditional norms outside of the…

Logic in Computer Science · Computer Science 2026-03-02 Alexander Steen

Autonomous vehicles need to be designed to abide by the same rules that humans follow. This is challenging, because traffic rules are fuzzy and not well defined, making them incomprehensible to machines. Satisfaction cannot be incorporated…

Robotics · Computer Science 2021-02-08 Klemens Esterle , Luis Gressenbuch , Alois Knoll

In this paper we give automata-based representation of LTL-FO$^+$ properties. LTL-FO$^+$ is an extension of LTL that includes first-order quantification over bounded variable, thus greatly increasing the expressivity of the language. An…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Yannick Lebrun , Raphaël Khoury , Sylvain Hallé

The use of spatio-temporal logics in control is motivated by the need to impose complex spatial and temporal behavior on dynamical systems, and to control these systems accordingly. Synthesizing correct-by-design control laws is a…

Formal Languages and Automata Theory · Computer Science 2020-03-26 Lars Lindemann , Dimos V. Dimarogonas

A mimic computing oriented automaton can directly portray the behaviors of a mimic computing system. In this paper, we investigate the following theoretical problems on this type of automata: operational semantics and computational ability.…

Formal Languages and Automata Theory · Computer Science 2018-01-30 Weijun Zhu

This paper concentrates on the representation of the legal relations that obtain between parties once they have entered a contractual agreement and their evolution as the agreement progresses through time. Contracts are regarded as process…

Artificial Intelligence · Computer Science 2016-11-17 Aspassia Daskalopulu

Automata expressiveness is an essential feature in understanding which of the formalisms available should be chosen for modelling a particular problem. Probabilistic and stochastic automata are suitable for modelling systems exhibiting…

Logic in Computer Science · Computer Science 2019-03-19 Valentin Bura , Tim French , Mark Reynolds

Combining ideas from distributed algorithms and alternating automata, we introduce a new class of finite graph automata that recognize precisely the languages of finite graphs definable in monadic second-order logic. By restricting…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Fabian Reiter

Modal automata are a classic formal model for component-based systems that comes equipped with a rich specification theory supporting abstraction, refinement and compositional reasoning. In recent years, quantitative variants of modal…

Logic in Computer Science · Computer Science 2013-06-13 Tingting Han , Christian Krause , Marta Kwiatkowska , Holger Giese