# About the decision of reachability for register machines

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 36, Issue: 4, page 341-358
- ISSN: 0988-3754

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topCortier, Véronique. "About the decision of reachability for register machines." RAIRO - Theoretical Informatics and Applications 36.4 (2010): 341-358. <http://eudml.org/doc/92706>.

@article{Cortier2010,

abstract = {
We study the decidability of the following problem: given p affine
functions ƒ1,...,ƒp over $\mathbb\{N\}^k$ and two vectors $v_1, v_2\in\mathbb\{N\}^k$,
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.
},

author = {Cortier, Véronique},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Verification; infinite state systems.; verification; infinite state systems; decidability},

language = {eng},

month = {3},

number = {4},

pages = {341-358},

publisher = {EDP Sciences},

title = {About the decision of reachability for register machines},

url = {http://eudml.org/doc/92706},

volume = {36},

year = {2010},

}

TY - JOUR

AU - Cortier, Véronique

TI - About the decision of reachability for register machines

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 36

IS - 4

SP - 341

EP - 358

AB -
We study the decidability of the following problem: given p affine
functions ƒ1,...,ƒp over $\mathbb{N}^k$ and two vectors $v_1, v_2\in\mathbb{N}^k$,
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.

LA - eng

KW - Verification; infinite state systems.; verification; infinite state systems; decidability

UR - http://eudml.org/doc/92706

ER -

## References

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