Publication Details
Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems
Rogalewicz Adam, doc. Mgr., Ph.D. (DITS)
Vojnar Tomáš, prof. Ing., Ph.D. (DITS)
Radu Iosif
Generic register automata, Data automata, Trace inclusion, Antichains,
Interpolation, CEGAR, Simulation relations
A generic register automaton is a finite automaton equipped with variables (which
may be viewed as counters or, more generally, registers) ranging over infinite
data domains. A trace of a generic register automaton is an alternating sequence
of alphabet symbols and values taken by the variables during an execution of the
automaton. The problem addressed in this paper is the inclusion between the sets
of traces (data languages) recognized by such automata. Since the problem is
undecidable in general, we give a semi-algorithm based on a~combination of
abstraction refinement and antichains, which is proved to be sound and complete,
but whose termination is not guaranteed. Moreover, we further enhance the
proposed algorithm by exploiting a concept of data simulations, i.e., simulation
relations aware of the data associated with the words. We have implemented our
technique in a prototype tool and show promising results on multiple non-trivial
examples.
@article{BUT170106,
author="Lukáš {Holík} and Adam {Rogalewicz} and Tomáš {Vojnar} and Iosif {Radu}",
title="Abstraction Refinement and Antichains for Trace Inclusion of Infinite State Systems",
journal="FORMAL METHODS IN SYSTEM DESIGN",
year="2020",
volume="55",
number="3",
pages="137--170",
doi="10.1007/s10703-020-00345-1",
issn="0925-9856",
url="https://link.springer.com/article/10.1007/s10703-020-00345-1"
}