A characterization of regular expressions under bisimulation

Author:

Baeten J. C. M.1,Corradini F.2,Grabmayer C. A.3

Affiliation:

1. Technische Universiteit Eindhoven, Eindhoven, The Netherlands

2. Università di Camerino, Camerino, Italy

3. Vrije Universiteit, Amsterdam, The Netherlands

Abstract

We solve an open question of Milner [1984]. We define a set of so-called well-behaved finite automata that, modulo bisimulation equivalence, corresponds exactly to the set of regular expressions, and we show how to determine whether a given finite automaton is in this set. As an application, we consider the star height problem.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference31 articles.

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1. Sequential Value Passing Yields a Kleene Theorem for Processes;Lecture Notes in Computer Science;2024

2. Parallel Pushdown Automata and Commutative Context-Free Grammars in Bisimulation Semantics (Extended Abstract);Electronic Proceedings in Theoretical Computer Science;2023-09-14

3. Milner’s Proof System for Regular Expressions Modulo Bisimilarity is Complete;Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science;2022-08-02

4. Better Automata Through Process Algebra;Lecture Notes in Computer Science;2022

5. On Star Expressions and Completeness Theorems;Electronic Proceedings in Theoretical Computer Science;2021-12-29

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