5 papers
Automata on Graph Alphabets
Hugo Bazille, Uli Fahrenberg
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 whic…
Variants of Higher-Dimensional Automata
Hugo Bazille, Jérémy Dubut, Uli Fahrenberg +1
The theory of higher-dimensional automata (HDAs) has seen rapid progress in recent years, and first applications, notably to Petri net analysis, are starting to show. It has, howev…
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…
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…
Petri Nets and Higher-Dimensional Automata
Amazigh Amrane, Hugo Bazille, Uli Fahrenberg +2
Petri nets and their variants are often considered through their interleaved semantics, i.e. considering executions where, at each step, a single transition fires. This is clearly…