| Issue |
RAIRO-Theor. Inf. Appl.
Volume 36, Number 4, October/December 2002
|
|
|---|---|---|
| Page(s) | 341 - 358 | |
| DOI | https://doi.org/10.1051/ita:2003001 | |
| Published online | 15 February 2003 | |
About the decision of reachability for register machines
Laboratoire Spécification et Vérification,
École Normale Supérieure de Cachan, CNRS,
61 avenue du Président Wilson, 94230 Cachan, France;
cortier@lsv.ens-cachan.fr.
Received:
May
2001
Accepted:
October
2002
We study the decidability of the following problem: given p affine
functions ƒ1,...,ƒp over 
and two vectors 
,
is v2 reachable from v1 by successive iterations of ƒ1,...,ƒp
(in this given order)?
We show that this question is decidable for p = 1, 2 and undecidable for
some fixed p.
Mathematics Subject Classification: 68Q60
Key words: Verification / infinite state systems.
© EDP Sciences, 2002
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