Partial commutation and traces

V Diekert, Y Métivier - Handbook of Formal Languages: Volume 3 Beyond …, 1997 - Springer
Parallelism and concurrency are fundamental concepts in computer science. Specification
and verification of concurrent programs are of first importance. It concerns our daily life …

On regular message sequence chart languages and relationships to Mazurkiewicz trace theory

R Morin - Foundations of Software Science and Computation …, 2001 - Springer
Abstract Hierarchical Message Sequence Charts are a well-established formalism to specify
telecommunication protocols. In this model, numerous undecidability results were obtained …

Rational and recognizable complex trace languages

V Diekert, P Gastin, A Petit - Information and Computation, 1995 - Elsevier
Mazurkiewicz defined traces as an algebraic model of finite concurrent processes. In order
to model non-terminating processes a good notion of infinite traces was needed, which …

New results on the star problem in trace monoids

Y Metivier, G Richomme - Information and Computation, 1995 - Elsevier
We prove that if it is decidable whether X* is recognizable for a recognizable subset X of a
free partially commutative monoid, then it is decidable whether a recognizable subset of a …

On the star operation and the finite power property in free partially commutative monoids

Y Métivier, GË Richomme - STACS 94: 11th Annual Symposium on …, 1994 - Springer
We prove that if it is decidable whether X* is recognizable for a recognizable subset X of a
free partially commutative monoid, then it is decidable whether a recognizable subset of a …

Some trace monoids where both the star problem and the finite power property problem are decidable

G Richomme - Mathematical Foundations of Computer Science 1994 …, 1994 - Springer
We consider here the decidability of the Star Problem in trace monoids (“assuming X is a
recognizable set of traces, is X* recognizable”) and the decidability of the Finite Power …

Reliable generalized and context dependent commutation relations

I Biermann, B Rozoy - Colloquium on Trees in Algebra and Programming, 1997 - Springer
Trace theory was introduced to capture the behavior of 1-safe Petri nets, it is based on
partial commutation relations where two adjacent letters are allowed to permute. More …

A connection between the star problem and the finite power property in trace monoids

D Kirsten - … Programming: 26th International Colloquium, ICALP'99 …, 1999 - Springer
This paper deals with a connection between the star problem and the finite power problem
in trace monoids. Both problems are decidable in trace monoids without C4 submonoid [21] …

Two techniques in the area of the star problem in trace monoids

D Kirsten, J Marcinkowski - Theoretical computer science, 2003 - Elsevier
This paper deals with decision problems related to the star problem in trace monoids which
means to determine whether the iteration of a recognizable trace language is recognizable …

Computing the closure of sets of words under partial commutations

Y Métivier, G Richomme, PA Wacrenier - … 95 Szeged, Hungary, July 10–14 …, 1995 - Springer
The aim of this paper is the study of a procedure S given in [11, 13]. We prove that this
procedure can compute the closure of the star of a closed recognizable set of words if and …