Probabilistic temporal logics for finite and bounded models

Sergiu Hart, Micha Sharir(

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

45 Scopus citations

Abstract

We present two (closely-related) propositional probabilistic temporal logics based on temporal logics of branching time as introduced by Ben-Ari, Pnueli and Manna and by Clarke and Emerson. The first logic, PTLf, is interpreted over finite models, while the second logic, PTLb, which is an extension of the first one, is interpreted over infinite models with transition probabilities bounded away from 0. The logic PTLf allows us to reason about finite-state sequential probabilistic programs, and the logic PTLb allows us to reason about (finite-state) concurrent probabilistic programs, without any explicit reference to the actual values of their state-transition probabilities. A generalization of the tableau method yields exponential-time decision procedures for our logics, and complete axiomatizations of them are given. Several meta-results, including the absence of a finite-model property for PTLb, and the connection between satisfiable formulae of PTLb and finite state concurrent probabilistic programs, are also discussed.
Original languageEnglish
Title of host publicationProceedings of the Sixteenth Annual ACM Symposium on Theory of Computing
Place of PublicationNew York, NY, USA
PublisherAssociation for Computing Machinery
Pages1–13
ISBN (Print)0897911334
DOIs
StatePublished - 1984

Publication series

NameSTOC '84
PublisherAssociation for Computing Machinery

Fingerprint

Dive into the research topics of 'Probabilistic temporal logics for finite and bounded models'. Together they form a unique fingerprint.

Cite this