Computation & Deduction
This guest lecture given by Iliano CervesatoThis lecture first discusses the theory of resolution. The resolution judgment isolates inherent non-determinism in proof search, but does not yet resolve it. This requires lower-level judgments. As one example we pick the disjunctive non-determinism (clause selection) which is solved by backtracking and implement is via failure continuateion.
Topics: - Resolution * soundness and completeness results and proofs * hereditary Harrop formulas, Horn clauses, language design issues * pointer to notes: Section 8.5 * code: no code used - Failure continuations * language of continuations * deductive system * soundness theorem and proof * non-deterministic completeness * pointer to notes: no material on that, except the unfinished Section 8.6 * code: no code used.