Technical Reports

Bozga, M., Iosif, R., Konečný, F.: Fast Acceleration of Ultimately Periodic Relations, TR-2010-3, Grenoble, FR, VERIMAG, 2010, p. 24
Publication language:english
Original title:Fast Acceleration of Ultimately Periodic Relations
Title (cs):Akcelerace periodických relací
Pages:24
Place:TR-2010-3, Grenoble, FR
Year:2010
Publisher:VERIMAG
URL:http://www-verimag.imag.fr/TR/TR-2010-3.pdf [PDF]
Keywords
acceleration, counter systems, difference bounds relations, octagonal relations, finite monoid affine relations
Annotation
Computing transitive closures of integer relations is the key to finding precise invariants of integer programs. In this paper, we describe an efficient algorithm for computing the transitive closures of difference bounds, octagonal and finite monoid affine relations. On the theoretical side, this framework provides a common solution to the acceleration problem, for all these three classes of relations. In practice, according to our experiments, the new method performs up to four orders of magnitude better than the previous ones, making it a promising approach for the verification of integer programs.
BibTeX:
@TECHREPORT{
   author = {Marius Bozga and Radu Iosif and Filip Konečný},
   title = {Fast Acceleration of Ultimately Periodic Relations},
   pages = {24},
   year = {2010},
   location = {TR-2010-3, Grenoble, FR},
   publisher = {VERIMAG},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=9279}
}

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