Title
Handling Infinitely Branching WSTS.
Abstract
Most decidability results concerning well-structured transition systems apply to the finitely branching variant. Yet some models (inserting automata, omega-Petri nets,...) are naturally infinitely branching. Here we develop tools to handle infinitely branching WSTS by exploiting the crucial property that in the ( ideal) completion of a well-quasi-ordered set, downward-closed sets are finite unions of ideals. Then, using these tools, we derive decidability results and we delineate the undecidability frontier in the case of the termination, the control-state maintainability and the coverability problems. Coverability and boundedness under new effectivity conditions are shown decidable.
Year
DOI
Venue
2014
10.1007/978-3-662-43951-7_2
Lecture Notes in Computer Science
Field
DocType
Volume
Discrete mathematics,Forward algorithm,Computer science,Automaton,Decidability,Maintainability,Branching (version control)
Conference
8573
ISSN
Citations 
PageRank 
0302-9743
3
0.41
References 
Authors
28
3
Name
Order
Citations
PageRank
Michael Blondin1279.06
Alain Finkel2263.30
Pierre McKenzie318815.94