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arXiv · 1809.07177

Parameter Synthesis Problems for one parametric clock Timed Automata

Liyun Dai·Taolue Chen·Zhiming Liu·Bican Xia·Naijun Zhan·Kim G. Larsen
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Abstract

In this paper, we study the parameter synthesis problem for a class of parametric timed automata. The problem asks to construct the set of valuations of the parameters in the parametric timed automa- ton, referred to as the feasible region, under which the resulting timed automaton satisfies certain properties. We show that the parameter syn- thesis problem of parametric timed automata with only one parametric clock (unlimited concretely constrained clock) and arbitrarily many pa- rameters is solvable when all the expressions are linear expressions. And it is moreover the synthesis problem is solvable when the form of con- straints are parameter polynomial inequality not just simple constraint and parameter domain is nonnegative real number.

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Liyun Dai, Taolue Chen, Zhiming Liu, Bican Xia, Naijun Zhan, Kim G. Larsen. 2018-09-15. Parameter Synthesis Problems for one parametric clock Timed Automata. https://arxiv.org/abs/1809.07177

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