Revisiting Timed Specification Theories: A Linear-Time Perspective
Abstract
We consider the setting of component-based design for real-time systems with critical timing constraints. Based on our earlier work, we propose a compositional specification theory for timed automata with I/O distinction, which supports substitutive refinement. Our theory provides the operations of parallel composition for composing components at run-time, logical conjunction/disjunction for independent development, and quotient for incremental synthesis. The key novelty of our timed theory lies in a weakest congruence preserving safety as well as bounded liveness properties. We show that the congruence can be characterised by two linear-time semantics, timed-traces and timed-strategies, the latter of which is derived from a game-based interpretation of timed interaction.
Cite
@article{arxiv.1206.4504,
title = {Revisiting Timed Specification Theories: A Linear-Time Perspective},
author = {Chris Chilton and Marta Kwiatkowska and Xu Wang},
journal= {arXiv preprint arXiv:1206.4504},
year = {2012}
}