تقرير
Reachability relations of timed pushdown automata
| العنوان: | Reachability relations of timed pushdown automata |
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| المؤلفون: | Clemente, Lorenzo, Lasota, Sławomir |
| المصدر: | Journal of Computer and System Sciences, Volume 117, May 2021, Pages 202-241 |
| سنة النشر: | 2020 |
| المجموعة: | Computer Science |
| مصطلحات موضوعية: | Computer Science - Formal Languages and Automata Theory, Computer Science - Logic in Computer Science |
| الوصف: | Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger arithmetic and rational arithmetic. The main technical ingredients are a novel quantifier elimination result for clock constraints (used to simplify the syntax of TPDA transitions), the use of clock difference relations to express reachability relations of the fractional clock values, and an application of Parikh's theorem to reconstruct the integral clock values. Comment: Author's version of JCSS article |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.jcss.2020.11.003 |
| URL الوصول: | http://arxiv.org/abs/2012.15291 |
| رقم الأكسشن: | edsarx.2012.15291 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.jcss.2020.11.003 |
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