Forward analysis and model checking for trace bounded WSTS

We investigate a subclass of well-structured transition systems (WSTS), the trace bounded—in the sense of Ginsburg and Spanier (1964), [1]—complete deterministic ones, which we claim provide an adequate basis for the study of forward analyses as developed by Finkel and Goubault-Larrecq (2012), [2]....

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Published inTheoretical computer science Vol. 637; pp. 1 - 29
Main Authors Chambart, Pierre, Finkel, Alain, Schmitz, Sylvain
Format Journal Article
LanguageEnglish
Published Elsevier B.V 18.07.2016
Elsevier
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Abstract We investigate a subclass of well-structured transition systems (WSTS), the trace bounded—in the sense of Ginsburg and Spanier (1964), [1]—complete deterministic ones, which we claim provide an adequate basis for the study of forward analyses as developed by Finkel and Goubault-Larrecq (2012), [2]. Indeed, we prove that, unlike other conditions considered previously for the termination of forward analysis, trace boundedness is decidable. Trace boundedness turns out to be a valuable restriction for WSTS verification, as we show that it further allows to decide all ω-regular properties on the set of infinite traces of the system. •The trace boundedness is decidable for complete deterministic WSTS.•The downward-closure of the reachability set is computable for trace bounded complete deterministic WSTS.•Action-based LTL model-checking is decidable for trace bounded complete deterministic WSTS.•State-based LTL model-checking is undecidable for trace bounded complete deterministic WSTS.
AbstractList We investigate a subclass of well-structured transition systems (WSTS), the trace bounded—in the sense of Ginsburg and Spanier (1964), [1]—complete deterministic ones, which we claim provide an adequate basis for the study of forward analyses as developed by Finkel and Goubault-Larrecq (2012), [2]. Indeed, we prove that, unlike other conditions considered previously for the termination of forward analysis, trace boundedness is decidable. Trace boundedness turns out to be a valuable restriction for WSTS verification, as we show that it further allows to decide all ω-regular properties on the set of infinite traces of the system. •The trace boundedness is decidable for complete deterministic WSTS.•The downward-closure of the reachability set is computable for trace bounded complete deterministic WSTS.•Action-based LTL model-checking is decidable for trace bounded complete deterministic WSTS.•State-based LTL model-checking is undecidable for trace bounded complete deterministic WSTS.
We investigate a subclass of well-structured transition systems (WSTS), the trace bounded---in the sense of Ginsburg and Spanier (Trans. AMS 1964)---complete deterministic ones, which we claim provide an adequate basis for the study of forward analyses as developed by Finkel and Goubault-Larrecq (Logic. Meth. Comput. Sci. 2012). Indeed, we prove that, unlike other conditions considered previously for the termination of forward analysis, trace boundedness is decidable. Trace boundedness turns out to be a valuable restriction for WSTS verification, as we show that it further allows to decide allω-regular properties on the set of infinite traces of the system.
We investigate a subclass of well-structured transition systems (WSTS), the trace bounded-in the sense of Ginsburg and Spanier (1964), [1]-complete deterministic ones, which we claim provide an adequate basis for the study of forward analyses as developed by Finkel and Goubault-Larrecq (2012), [2]. Indeed, we prove that, unlike other conditions considered previously for the termination of forward analysis, trace boundedness is decidable. Trace boundedness turns out to be a valuable restriction for WSTS verification, as we show that it further allows to decide all omega -regular properties on the set of infinite traces of the system.
Author Chambart, Pierre
Finkel, Alain
Schmitz, Sylvain
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Keywords Model checking
Complete WSTS
Flattable system
Bounded language
Acceleration
bounded language
acceleration
model-checking
complete WSTS
flattable system
Language English
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Snippet We investigate a subclass of well-structured transition systems (WSTS), the trace bounded—in the sense of Ginsburg and Spanier (1964), [1]—complete...
We investigate a subclass of well-structured transition systems (WSTS), the trace bounded-in the sense of Ginsburg and Spanier (1964), [1]-complete...
We investigate a subclass of well-structured transition systems (WSTS), the trace bounded---in the sense of Ginsburg and Spanier (Trans. AMS 1964)---complete...
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SubjectTerms Acceleration
Bounded language
Complete WSTS
Computer Science
Computer simulation
Constrictions
Flattable system
Logic in Computer Science
Mathematical models
Model checking
Title Forward analysis and model checking for trace bounded WSTS
URI https://dx.doi.org/10.1016/j.tcs.2016.04.020
https://search.proquest.com/docview/1825476662
https://hal.science/hal-01329871
Volume 637
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