Department of Information Technology

Global Model Checking of Ordered Multi-Pushdown Systems

Speaker

Mohamed-Faouzi Atig

Date and Time

Thursday, December 9th, 2010 at 10:30

Location

Polacksbacken, room 1112

Abstract

In this talk, we address the verification problem of ordered multi-pushdown systems, a multi-stack extension of pushdown systems that comes with a constraint on stack operations: a pop can only be performed on the first non-empty stack (which implies that we assume a linear ordering on the collection of stacks). First, we show that for an ordered multi-pushdown system the set of all predecessors of a regular set of configurations is an effectively constructible regular set. Then, we exploit this result to solve the global model checking which consists in computing the set of all configurations of an ordered multi-pushdown system that satisfy a given w-regular property (expressible in linear-time temporal logics or the linear-time µ-calculus). As an immediate consequence of this result, we obtain an 2ETIME upper bound for the model checking problem of w-regular properties for ordered multi-pushdown systems (matching its lower-bound).

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Updated  2010-11-30 11:55:05 by Frédéric Haziza.