Publication detail

Abstract Regular Tree Model Checking

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

Original Title

Abstract Regular Tree Model Checking

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

Regular (tree) model checking (RMC)  is a promising generic method for formal verification of infinite-state systems. Itencodes configurations of systems as words or trees over a suitablealphabet, possibly infinite sets of configurations as finite word ortree automata, and operations of the systems being examined as finiteword or tree transducers. The reachability set is then computed by arepeated application of the transducers on the automata representingthe currently known set of reachable configurations. In order tofacilitate termination of RMC, various acceleration schemas have beenproposed. One of them is a combination of RMC with theabstract-check-refine paradigm yielding the so-called abstract regularmodel checking (ARMC). ARMC has originally been proposed for wordautomata and transducers only and thus for dealing with systems withlinear (or easily linearisable) structure. In this paper, we propose ageneralisation of ARMC to the case of dealing with trees which arisenaturally in a lot of modelling and verification contexts. In particular, we first proposeabstractions of tree automata based on collapsing their states havingan equal language of trees up to some bounded height. Then, we proposean 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 giveus very encouraging verification results.

Keywords

formal verification, model checking, symbolic verification, regularmodel 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"
}