From ltl and limit-deterministic büchi automata to deterministic parity automata

Javier Esparza, Jan Křetínský, Jean François Raskin, Salomon Sickert

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

30 Scopus citations

Abstract

Controller synthesis for general linear temporal logic (LTL) objectives is a challenging task. The standard approach involves translating the LTL objective into a deterministic parity automaton (DPA) by means of the Safra-Piterman construction. One of the challenges is the size of the DPA, which often grows very fast in practice, and can reach double exponential size in the length of the LTL formula. In this paper we describe a single exponential translation from limit-deterministic Büchi automata (LDBA) to DPA, and show that it can be concatenated with a recent efficient translation from LTL to LDBA to yield a double exponential, “Safraless” LTL-to-DPA construction. We also report on an implementation, a comparison with the SPOT library, and performance on several sets of formulas, including instances from the 2016 SyntComp competition.

Original languageEnglish
Title of host publicationTools and Algorithms for the Construction and Analysis of Systems - 23rd International Conference, TACAS 2017 held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Proceedings
EditorsTiziana Margaria , Axel Legay
PublisherSpringer Verlag
Pages426-442
Number of pages17
ISBN (Print)9783662545768
DOIs
StatePublished - 2017
Event23rd International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2017 held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017 - Uppsala, Sweden
Duration: 22 Apr 201729 Apr 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10205 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference23rd International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2017 held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017
Country/TerritorySweden
City Uppsala
Period22/04/1729/04/17

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