License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2017.77
URN: urn:nbn:de:0030-drops-81112
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/8111/
Go to the corresponding LIPIcs Volume Portal

Krishna, Shankara Narayanan ; Madnani, Khushraj ; Pandya, Paritosh K.

Making Metric Temporal Logic Rational

pdf-format:
LIPIcs-MFCS-2017-77.pdf (0.7 MB)

Abstract

We study an extension of MTL in pointwise time with regular expression guarded modality Reg_I(re) where re is a rational expression over subformulae. We study the decidability and expressiveness of this extension (MTL+Ureg+Reg), called RegMTL, as well as its fragment SfrMTL where only star-free rational expressions are allowed. Using the technique of temporal projections, we show that RegMTL has decidable satisfiability by giving an equisatisfiable reduction to MTL. We also identify a subclass MITL+UReg of RegMTL for which our equisatisfiable reduction gives rise to formulae of MITL, yielding elementary decidability. As our second main result, we show a tight automaton-logic connection between SfrMTL and partially ordered (or very weak) 1-clock alternating timed automata.

BibTeX - Entry

@InProceedings{krishna_et_al:LIPIcs:2017:8111,
  author =	{Shankara Narayanan Krishna and Khushraj Madnani and Paritosh K. Pandya},
  title =	{{Making Metric Temporal Logic Rational}},
  booktitle =	{42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)},
  pages =	{77:1--77:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-046-0},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{83},
  editor =	{Kim G. Larsen and Hans L. Bodlaender and Jean-Francois Raskin},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/8111},
  URN =		{urn:nbn:de:0030-drops-81112},
  doi =		{10.4230/LIPIcs.MFCS.2017.77},
  annote =	{Keywords: Metric Temporal Logic, Timed Automata, Regular Expression, Equisatisfiability, Expressiveness}
}

Keywords: Metric Temporal Logic, Timed Automata, Regular Expression, Equisatisfiability, Expressiveness
Collection: 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)
Issue Date: 2017
Date of publication: 01.12.2017

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI