自動推理Automated reasoning

內(nèi)容概要

This book constitutes the refereed proceedings of the Third International Joint Conference on Automated Reasoning, IJCAR 2006, held in Seattle, WA, USA in August 2006 as part of the 4th Federated Logic Conference, FLoC 2006. IJCAR 2006 is a merger of CADE, FroCoS, FTP, TABLEAUX, and TPHOLs.    The 41 revised full research papers and 8 revised system descriptions presented together with 3 invited papers and a summary of a systems competition were carefully reviewed and selected from a total of 152 submissions. The papers address the entire spectrum of research in automated reasoning including formalization of mathematics, proof theory, proof search, description logics, interactive proof checking, higher-order logic, combination methods, satisfiability procedures, and rewriting. The papers are organized in topical sections on proofs, search, higher-order logic, proof theory, search, proof checking, combination, decision procedures, CASC-J3, rewriting, and description logic.

書籍目錄

Invited Talks　Mathematical Theory Exploration　Searching While Keeping a Trace: The Evolution from Satisfiability to Knowledge Compilation　Representing and Reasoning with Operational SemanticsSession 1. Proofs　Flyspeck I: Tame Graphs　Automatic Construction and Verification of Isotopy Invariants　Pitfalls of a Full Floating-Point Proof: Example on the Formal Proof of the Veltkamp/Dekker Algorithms　Using the TPTP Language for Writing Derivations and Finite InterpretationsSession 2. Search　Stratified Context Unification Is NP-Complete　A Logical Characterization of Forward and Backward Chaining in the Inverse Method　Connection Tableaux with Lazy Paramodulation　Blocking and Other Enhancements for Bottom-Up Model Generation MethodsSession 3. System Description 1　The MathServe System for Semantic Web Reasoning Services　System Description: GCLCprover + GeoThms　A Sufficient Completeness Checker for Linear Order-Sorted Specifications Modulo Axioms　Extending the TPTP Language to Higher-Order Logic with Automated Parser GenerationSession 4. Higher-Order Logic　Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics　Towards Self-verification of HOL Light　An Interpretation of Isabelle/HOL in HOL Light　Combining Type Theory and Untyped Set TheorySession 5. Proof Theory　Cut-Simulation in Impredicative Logics　Interpolation in Local Theory ExtensionsSession 6. System Description2Session 7. SearchSession 8. Proof TheorySession 9. Proof CheckingSession 10. CombinationsSession 11. Decision ProceduresSession 12. CASC-J3Session 13. RewritingSession 14. Descrition LogicAuthor Index

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