D 2015

Controller Synthesis for MDPs and Frequency LTL\GU

FOREJT, Vojtěch; Jan KRČÁL and Jan KŘETÍNSKÝ

Basic information

Original name

Controller Synthesis for MDPs and Frequency LTL\GU

Authors

FOREJT, Vojtěch (203 Czech Republic, belonging to the institution); Jan KRČÁL (203 Czech Republic) and Jan KŘETÍNSKÝ (203 Czech Republic, belonging to the institution)

Edition

Suva, Fiji, LPAR 2015, p. 162-177, 16 pp. 2015

Publisher

Springer

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

Publication form

printed version "print"

Impact factor

Impact factor: 0.402 in 2005

RIV identification code

RIV/00216224:14330/15:00081286

Organization unit

Faculty of Informatics

ISBN

978-3-662-48898-0

ISSN

UT WoS

000375574900012

EID Scopus

2-s2.0-84952685457

Keywords in English

frequency LTL; quantitative logics; MDP controller synthesis; automata characterization
Changed: 28/4/2016 15:33, RNDr. Pavel Šmerk, Ph.D.

Abstract

In the original language

Quantitative extensions of temporal logics have recently attracted significant attention. In this work, we study frequency LTL (fLTL), an extension of LTL which allows to speak about frequencies of events along an execution. Such an extension is particularly useful for probabilistic systems that often cannot fulfil strict qualitative guarantees on the behaviour. It has been recently shown that controller synthesis for Markov decision processes and fLTL is decidable when all the bounds on frequencies are 1. As a step towards a complete quantitative solution, we show that the problem is decidable for the fragment fLTL\GU, where U does not occur in the scope of G (but still F can). Our solution is based on a novel translation of such quantitative formulae into equivalent deterministic automata.

Links

GBP202/12/G061, research and development project
Name: Centrum excelence - Institut teoretické informatiky (CE-ITI) (Acronym: CE-ITI)
Investor: Czech Science Foundation