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Craig’s interpolation theorem has numerous applications in model checking, automated reasoning, and synthesis. There is a variety of interpolation systems which derive interpolants from refutation proofs; these systems are ad-hoc and rigid in the sense that they provide exactly one interpolant...
Craig interpolation has been a valuable tool in program analysis and verification. Modern SMT solvers implement interpolation procedures for the theories that are most commonly used in these applications. However, many application-specific theories remain unsupported, which limits the class of...
Craig interpolation has a wide range of applications in model checking, verification, and state space abstraction. Recent advances use a more general version of interpolation called tree interpolation. In this paper, we present a method to extract tree interpolants from a proof tree generated by...
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