Table of contents : Solving open questions with an automated theorem-proving program....Pages 1-31 STP: A mechanized logic for specification and verification....Pages 32-49 A look at TPS....Pages 50-69 Logic machine architecture: Kernel functions....Pages 70-84 Logic machine architecture: Inference mechanisms....Pages 85-108 Procedure implementation through demodulation and related tricks....Pages 109-131 The application of Homogenization to simultaneous equations....Pages 132-143 Meta-level inference and program verification....Pages 144-150 An example of FOL using metatheory....Pages 151-158 Comparison of natural deduction and locking resolution implementations....Pages 159-171 Derived preconditions and their use in program synthesis....Pages 172-193 Automatic construction of special purpose programs....Pages 194-208 Deciding combinations of theories....Pages 209-222 Exponential improvement of efficient backtracking....Pages 223-239 Exponential improvement of exhaustive backtracking: data structure and implementation....Pages 240-259 Intuitionistic basis for non-monotonic logic....Pages 260-273 Knowledge retrieval as limited inference....Pages 274-291 On indefinite databases and the closed world assumption....Pages 292-308 Proof by matrix reduction as plan + validation....Pages 309-325 Improvements of a tautology-testing algorithm....Pages 326-341 Representing infinite sequences of resolvents in recursive First-Order Horn Databases....Pages 342-359 The power of the Church-Rosser property for string rewriting systems....Pages 360-368 Universal unification and a classification of equational theories....Pages 369-389