Unification and Anti-Unification in the Calculus of Constructions

نویسنده

  • Frank Pfenning
چکیده

We present algorithms for unification and antiunification in the Calculus of Constructions, where occurrences of free variables (the variables subject to instantiation) are restricted to higher-order patterns, a notion investigated for the simply-typed λ-calculus by Miller. Most general unifiers and least common antiinstances are shown to exist and are unique up to a simple equivalence. The unification algorithm is used for logic program execution and type and term reconstruction in the current implementation of Elf and has shown itself to be practical. The main application of the anti-unification algorithm we have in mind is that of proof generalization.

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تاریخ انتشار 1991