eng
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Leibniz International Proceedings in Informatics
1868-8969
2020-08-26
49:1
49:17
10.4230/LIPIcs.CONCUR.2020.49
article
Bounded Reachability Problems Are Decidable in FIFO Machines
Bollig, Benedikt
1
Finkel, Alain
1
Suresh, Amrita
1
LSV, ENS Paris-Saclay, CNRS, Université Paris-Saclay, France
The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known. In this paper, we provide an underapproximation for the general model by considering only runs that are input-bounded (i.e. the sequence of messages sent through a particular channel belongs to a given bounded language). We prove, by reducing this model to a counter machine with restricted zero tests, that the rational-reachability problem (and by extension, control-state reachability, unboundedness, deadlock, etc.) is decidable. This class of machines subsumes input-letter-bounded machines, flat machines, linear FIFO nets, and monogeneous machines, for which some of these problems were already shown to be decidable. These theoretical results can form the foundations to build a tool to verify general FIFO machines based on the analysis of input-bounded machines.
https://drops.dagstuhl.de/storage/00lipics/lipics-vol171-concur2020/LIPIcs.CONCUR.2020.49/LIPIcs.CONCUR.2020.49.pdf
FIFO machines
reachability
underapproximation
counter machines