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TACAS
2009
Springer
99views Algorithms» more  TACAS 2009»
15 years 4 months ago
Ground Interpolation for the Theory of Equality
Abstract. Given a theory T and two formulas A and B jointly unsatisfiable in T , a theory interpolant of A and B is a formula I such that (i) its non-theory symbols are shared by ...
Alexander Fuchs, Amit Goel, Jim Grundy, Sava Krsti...
88
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CADE
2009
Springer
15 years 10 months ago
Ground Interpolation for Combined Theories
Abstract. We give a method for modular generation of ground interpolants in modern SMT solvers supporting multiple theories. Our method uses a novel algorithm to modify the proof t...
Amit Goel, Sava Krstic, Cesare Tinelli
CADE
2005
Springer
15 years 10 months ago
Reasoning in Extensional Type Theory with Equality
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
Chad E. Brown
CADE
2009
Springer
15 years 4 months ago
Interpolant Generation for UTVPI
Abstract. The problem of computing Craig interpolants in SMT has recently received a lot of interest, mainly for its applications in formal verification. Efficient algorithms for ...
Alessandro Cimatti, Alberto Griggio, Roberto Sebas...
AISC
2008
Springer
14 years 11 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban