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On-line Access: 2009-10-21

Received: 2008-11-12

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.12 P.1784~1789

http://doi.org/10.1631/jzus.A0820812


Equality detection for linear arithmetic constraints


Author(s):  Li LI, Kai-duo HE, Ming GU, Xiao-yu SONG

Affiliation(s):  Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China; more

Corresponding email(s):   l-li-05@mails.tsinghua.edu.cn

Key Words:  Model checking, Satisfiability modulo theories (SMT), Linear arithmetic


Li LI, Kai-duo HE, Ming GU, Xiao-yu SONG. Equality detection for linear arithmetic constraints[J]. Journal of Zhejiang University Science A, 2009, 10(12): 1784~1789.

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T1 - Equality detection for linear arithmetic constraints
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Abstract: 
satisfiability modulo theories (SMT) play a key role in verification applications. A crucial SMT problem is to combine separate theory solvers for the union of theories. In previous work, the simplex method is used to determine the solvability of constraint systems and the equalities implied by constraint systems are detected by a multitude of applications of the dual simplex method. We present an effective simplex tableau-based method to identify all implicit equalities such that the simplex method is harnessed to an irreducible minimum. Experimental results show that the method is feasible and effective.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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