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  4. A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings
 
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conference paper

A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings

Liang, Tianyi
•
Tsiskaridze, Nestan
•
Reynolds, Andrew  
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Lutz, C
•
Ranise, S
2015
Frontiers Of Combining Systems, Frocos 2015
10th International Symposium on Frontiers of Combining Systems (FroCoS)

We prove that the quantifier-free fragment of the theory of character strings with regular language membership constraints and linear integer constraints over string lengths is decidable. We do that by describing a sound, complete and terminating tableaux calculus for that fragment which uses as oracles a decision procedure for linear integer arithmetic and a number of computable functions over regular expressions. A distinguishing feature of this calculus is that it provides a completely algebraic method for solving membership constraints which can be easily integrated into multi-theory SMT solvers. Another is that it can be used to generate symbolic solutions for such constraints, that is, solved forms that provide simple and compact representations of entire sets of complete solutions. The calculus is part of a larger one providing the theoretical foundations of a high performance theory solver for string constraints implemented in the SMT solver CVC4.

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Type
conference paper
DOI
10.1007/978-3-319-24246-0_9
Web of Science ID

WOS:000366183700009

Author(s)
Liang, Tianyi
•
Tsiskaridze, Nestan
•
Reynolds, Andrew  
•
Tinelli, Cesare
•
Barrett, Clark
Editors
Lutz, C
•
Ranise, S
Date Issued

2015

Publisher

Springer-Verlag Berlin

Publisher place

Berlin

Published in
Frontiers Of Combining Systems, Frocos 2015
ISBN of the book

978-3-319-24246-0

978-3-319-24245-3

Total of pages

16

Series title/Series vol.

Lecture Notes in Artificial Intelligence

Volume

9322

Start page

135

End page

150

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LARA  
Event nameEvent placeEvent date
10th International Symposium on Frontiers of Combining Systems (FroCoS)

Wroclaw, POLAND

SEP 21-24, 2015

Available on Infoscience
February 16, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/123647
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