Abstract:Goal-directed proof search in first-order logic uses metavariables to delay the choice of witnesses; substitutions for such variables are produced when closing proof-tree branches, using first-order unification or a theory-specific background reasoner. This paper investigates a generalisation of such mechanisms whereby theory-specific constraints are produced instead of substitutions. In order to design modular proofsearch procedures over such mechanisms, we provide a sequent calculus with meta-variables, whic… Show more
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