Are Timed Automata Bad for a Specification Language? Language Inclusion Checking for Timed Automata [chapter]

Ting Wang, Jun Sun, Yang Liu, Xinyu Wang, Shanping Li
<span title="">2014</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Given a timed automaton P modeling an implementation and a timed automaton S as a specification, language inclusion checking is to decide whether the language of P is a subset of that of S. It is known that this problem is undecidable and "this result is an obstacle in using timed automata as a specification language" [2]. This undecidability result, however, does not imply that all timed automata are bad for specification. In this work, we propose a zone-based semi-algorithm for language
more &raquo; ... ion checking, which implements simulation reduction based on Anti-Chain and LU-simulation. Though it is not guaranteed to terminate, we show that it does in many cases through both theoretical and empirical analysis. The semi-algorithm has been incorporated into the PAT model checker, and applied to multiple systems to show its usefulness and scalability.
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