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Matrix-Based Inductive Theorem Proving

by Christoph Kreitz, Brigitte Pientka

International Conference TABLEAUX-2000.

  • unofficial copies PDF, PS

We present an approach to inductive theorem proving that integrates rippling-based rewriting into matrix-based logical proof search. The selection of appropriate connections in a matrix proof is guided by the symmetries between induction hypothesis and induction conclusion while unification is extended by a rippling/reverse-rippling heuristic. Conditional substitutions are generated whenever a uniform substitution is impossible. We illustrate the combined approach by discussing several inductive proofs for the integer square root problem.

bibTex ref: KP00

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