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.ICALP.2016.95
URN: urn:nbn:de:0030-drops-62306
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6230/
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Wilke, Thomas

Past, Present, and Infinite Future

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LIPIcs-ICALP-2016-95.pdf (0.4 MB)

Abstract

I was supposed to deliver one of the speeches at Wolfgang Thomas's retirement ceremony. Wolfgang had called me on the phone earlier and posed some questions about temporal logic, but I hadn't had good answers at the time. What I decided to do at the ceremony was to take up the conversation again and show how it could have evolved if only I had put more effort into answering his questions. Here is the imaginary conversation with Wolfgang.

The contributions are (1) the first direct translation from counter-free omega-automata into future temporal formulas, (2) a definition of bimachines for omega-words, (3) a translation from arbitrary temporal formulas (including both, future and past operators) into counter-free omega-bimachines, and (4) an automata-based proof of separation: every arbitrary temporal formula is equivalent to a boolean combination of pure future, present, and pure past formulas when interpreted in omega-words.

BibTeX - Entry

@InProceedings{wilke:LIPIcs:2016:6230,
  author =	{Thomas Wilke},
  title =	{{Past, Present, and Infinite Future}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{95:1--95:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Ioannis Chatzigiannakis and Michael Mitzenmacher and Yuval Rabani and Davide Sangiorgi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6230},
  URN =		{urn:nbn:de:0030-drops-62306},
  doi =		{10.4230/LIPIcs.ICALP.2016.95},
  annote =	{Keywords: linear-time temporal logic, separation, backward deterministic omega-automata, counter freeness}
}

Keywords: linear-time temporal logic, separation, backward deterministic omega-automata, counter freeness
Collection: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)
Issue Date: 2016
Date of publication: 23.08.2016

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