Lechner, Antonia and Mayr, Richard and Ouaknine, Joël and Pouly, Amaury and Worrell, James - Model Checking Flat Freeze LTL on One-Counter Automata

lmcs:3106 - Logical Methods in Computer Science, December 7, 2018, Volume 14, Issue 4
Model Checking Flat Freeze LTL on One-Counter Automata

Authors: Lechner, Antonia and Mayr, Richard and Ouaknine, Joël and Pouly, Amaury and Worrell, James

Freeze LTL is a temporal logic with registers that is suitable for specifying properties of data words. In this paper we study the model checking problem for Freeze LTL on one-counter automata. This problem is known to be undecidable in general and PSPACE-complete for the special case of deterministic one-counter automata. Several years ago, Demri and Sangnier investigated the model checking problem for the flat fragment of Freeze LTL on several classes of counter automata and posed the decidability of model checking flat Freeze LTL on one-counter automata as an open problem. In this paper we resolve this problem positively, utilising a known reduction to a reachability problem on one-counter automata with parameterised equality and disequality tests. Our main technical contribution is to show decidability of the latter problem by translation to Presburger arithmetic.


Source : oai:arXiv.org:1606.02643
DOI : 10.23638/LMCS-14(4:20)2018
Volume: Volume 14, Issue 4
Published on: December 7, 2018
Submitted on: January 31, 2017
Keywords: Computer Science - Logic in Computer Science,Computer Science - Formal Languages and Automata Theory


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