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An Interpolating Sequent Calculus for Quantifier-Free Presburger Arithmetic.

Abstract:

Craig interpolation has become a versatile tool in formal verification, used for instance to generate program assertions that serve as candidates for loop invariants. In this paper, we consider Craig interpolation for quantifier-free Presburger arithmetic (QFPA). Until recently, quantifier elimination was the only available interpolation method for this theory, which is, however, known to be potentially costly and inflexible. We introduce an interpolation approach based on a sequent calculus ...

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Publication status:
Published

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Publisher copy:
10.1007/s10817-011-9237-y
Journal:
J. Autom. Reasoning
Volume:
47
Issue:
4
Pages:
341-367
Publication date:
2011-01-01
DOI:
EISSN:
1573-0670
ISSN:
0168-7433
Language:
English
Keywords:
Pubs id:
pubs:327205
UUID:
uuid:c835de4f-0d64-4c87-b805-6949a9b33fc9
Local pid:
pubs:327205
Source identifiers:
327205
Deposit date:
2012-12-19

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