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20202025
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cs.FL2025

Büchi-Elgot-Trakhtenbrot Theorem for Higher-Dimensional Automata

Amazigh Amrane, Hugo Bazille, Emily Clement +3

In this paper we explore languages of higher-dimensional automata (HDAs) from an algebraic and logical point of view. Such languages are sets of finite width-bounded interval pomse…

cs.FL2024

Kamp Theorem for Pomset Languages of Higher Dimensional Automata

Emily Clement, Enzo Erlich, Jérémy Ledent

Temporal logics are a powerful tool to specify properties of computational systems. For concurrent programs, Higher Dimensional Automata (HDA) are a very expressive model of non-in…

cs.FL2024

Presenting Interval Pomsets with Interfaces

Amazigh Amrane, Hugo Bazille, Emily Clement +2

Interval-order partially ordered multisets with interfaces (ipomsets) have shown to be a versatile model for executions of concurrent systems in which both precedence and concurren…

cs.FL2024

Higher-Dimensional Timed Automata for Real-Time Concurrency

Amazigh Amrane, Hugo Bazille, Emily Clement +2

We present a new language semantics for real-time concurrency. Its operational models are higher-dimensional timed automata (HDTAs), a generalization of both higher-dimensional aut…

cs.FL2020

Computing maximally-permissive strategies in acyclic timed automata

Emily Clement, Thierry Jéron, Nicolas Markey +1

Timed automata are a convenient mathematical model for modelling and reasoning about real-time systems. While they provide a powerful way of representing timing aspects of such sys…