An interpolating theorem prover

• Published in: Theoretical computer science Vol. 345; no. 1; pp. 101 - 121
• Main Author: McMillan, K.L.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 21-11-2005; Elsevier
• Subjects: Algorithmics. Computability. Computer arithmetics; Applied sciences; Computer science; control theory; systems; Craig interpolation; Decision procedures; Exact sciences and technology; Infinite-state systems; Logic and foundations; Mathematical logic, foundations, set theory; Mathematics; Model checking; Model theory; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation; Proof theory and constructive mathematics; Sciences and techniques of general use; Theoretical computing; Model checking; Craig interpolation; Decision procedures; Infinite-state systems; Computer theory; Theorem proving; Linear theory; Refinement; Software; Quantifier; Infinite system; Image approximation
• ISSN: 0304-3975; 1879-2294
• DOI: 10.1016/j.tcs.2005.07.003

We present a method of deriving Craig interpolants from proofs in the quantifier-free theory of linear inequality and uninterpreted function symbols, and an interpolating theorem prover based on this method. The prover has been used for predicate refinement in the B
LAST software model checker, and can also be used directly for model checking infinite-state systems, using interpolation-based image approximation.