Detail publikace

A symbolic algorithm for the case-split rule in solving word constraints with extensions

HAVLENA, V. LENGÁL, O. CHEN, Y. TURRINI, A.

Originální název

A symbolic algorithm for the case-split rule in solving word constraints with extensions

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

Case split is a core proof rule in current decision procedures for the theory of string constraints. Its use is the primary cause of the state space explosion in string constraint solving, since it is the only rule that creates branches in the proof tree. Moreover, explicit handling of the case split rule may cause recomputation of the same tasks in multiple branches of the proof tree. In this paper, we propose a symbolic algorithm that significantly reduces such a redundancy. In particular, we encode a string constraint as a regular language and proof rules as rational transducers. This allows us to perform similar steps in the proof tree only once, alleviating the state space explosion. We also extend the encoding to handle arbitrary Boolean combinations of string constraints, length constraints, and regular constraints. In our experimental results, we validate that our technique works in many practical cases where other state-of-the-art solvers fail to provide an answer; our Python prototype implementation solved over 50% of string constraints that could not be solved by the other tools.

Klíčová slova

string constraints, satisfiability modulo theories, regular model checking, Nielsen transformation, finite automata, monadic second-order logic over strings

Autoři

HAVLENA, V.; LENGÁL, O.; CHEN, Y.; TURRINI, A.

Vydáno

1. 7. 2023

ISSN

0164-1212

Periodikum

JOURNAL OF SYSTEMS AND SOFTWARE

Ročník

201

Číslo

201

Stát

Spojené státy americké

Strany od

111673

Strany do

111693

Strany počet

21

URL

http://dx.doi.org/10.1016/j.jss.2023.111673

BibTex

@article{BUT185153,
  author="HAVLENA, V. and LENGÁL, O. and CHEN, Y. and TURRINI, A.",
  title="A symbolic algorithm for the case-split rule in solving word constraints with extensions",
  journal="JOURNAL OF SYSTEMS AND SOFTWARE",
  year="2023",
  volume="201",
  number="201",
  pages="111673--111693",
  doi="10.1016/j.jss.2023.111673",
  issn="0164-1212",
  url="http://dx.doi.org/10.1016/j.jss.2023.111673"
}