English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Report

Proving a conjecture of Andreka on temporal logic

MPS-Authors
There are no MPG-Authors in the publication available
External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

MPI-I-1999-3-004.pdf
(Any fulltext), 266KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Raskin, J.-F.(1999). Proving a conjecture of Andreka on temporal logic (MPI-I-1999-3-004). Saarbrücken: Max-Planck-Institut für Informatik.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-6F41-8
Abstract
In \cite{Andreka}, a large number of completeness results about variants of discrete linear-time temporal logic are obtained. One of them is left as an open problem: the completeness of the logic of initially and next, for which a deductive system is proposed. This simple logic is of practical importance, since the proof of program invariants only require these modalities. We show here that the conjectured {\em medium completeness} of this system indeed holds; further, we show that deciding this entailment is PSPACE-complete, while deciding validity is only coNP-complete.