Publication detail

Abstract Regular Tree Model Checking

BOUAJJANI, A., HABERMEHL, P., ROGALEWICZ, A., VOJNAR, T.

Original Title

Abstract Regular Tree Model Checking

Type

conference paper

Language

English

Original Abstract

Regular (tree) model checking (RMC)  is a promising generic method for formal verification of infinite-state systems. It encodes configurations of systems as words or trees over a suitable alphabet, possibly infinite sets of configurations as finite word or tree automata, and operations of the systems being examined as finite word or tree transducers. The reachability set is then computed by a repeated application of the transducers on the automata representing the currently known set of reachable configurations. In order to facilitate termination of RMC, various acceleration schemas have been proposed. One of them is a combination of RMC with the abstract-check-refine paradigm yielding the so-called abstract regular model checking (ARMC). ARMC has originally been proposed for word automata and transducers only and thus for dealing with systems with linear (or easily linearisable) structure. In this paper, we propose a generalisation of ARMC to the case of dealing with trees which arise naturally in a lot of modelling and verification contexts. In particular, we first propose abstractions of tree automata based on collapsing their states having an equal language of trees up to some bounded height. Then, we propose an abstraction based on collapsing states having a non-empty intersection (and thus ``satisfying'') the same bottom-up tree ``predicate'' languages. Finally, we show on several examples that the methods we propose give us very encouraging verification results.

Keywords

formal verification, model checking, symbolic verification, regular model checking, the abstrack-check-refine paradigm, finite tree automata

Authors

BOUAJJANI, A., HABERMEHL, P., ROGALEWICZ, A., VOJNAR, T.

RIV year

2005

Released

12. 7. 2005

Publisher

Basic Research in Computer Science, Computer Science Departments of the Aarlborg and Aarhus Universities

Location

Aarhus

ISBN

0909-3206

Periodical

BRICS Notes Series

Year of study

2005

Number

4

State

Kingdom of Denmark

Pages from

15

Pages to

24

Pages count

10

URL

http://www.fit.vutbr.cz/~rogalew/pubs/bhrv-artmc-05.pdf

BibTex

@inproceedings{BUT21519,
  author="Ahmed {Bouajjani} and Peter {Habermehl} and Adam {Rogalewicz} and Tomáš {Vojnar}",
  title="Abstract Regular Tree Model Checking",
  booktitle="Proceedings of 7th International Workshop on Verification of Infinite-State Systems -- INFINITY 2005",
  year="2005",
  journal="BRICS Notes Series",
  volume="2005",
  number="4",
  pages="15--24",
  publisher="Basic Research in Computer Science, Computer Science Departments of the Aarlborg and Aarhus Universities",
  address="Aarhus",
  issn="0909-3206",
  url="http://www.fit.vutbr.cz/~rogalew/pubs/bhrv-artmc-05.pdf"
}