Theorem Proving in Higher Order Logics: 16th International Conference, TPHOLs 2003, Rom, Italy, September 8-12, 2003, Proceedings / Edition 1

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This book constitutes the refereed proceedings of the 16th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2003, held in Rome, Italy in September 2003.

The 24 revised full papers presented together with an invited paper were carefully reviewed and selected from 50 submissions. The papers are organized in topical sections on hardware and Assembler languages, proof automation, fool combination, logic extensions, theorem prover technology, mathematical theories, and security. Among the theorem proving systems discussed are HOL, Coq, MetaPRL, and Isabelle/Isar.

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Product Details

  • ISBN-13: 9783540406648
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 9/29/2003
  • Series: Lecture Notes in Computer Science Series, #2758
  • Edition description: 2003
  • Edition number: 1
  • Pages: 366
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.79 (d)

Table of Contents

Invited Talk I.- Click’n Prove: Interactive Proofs within Set Theory.- Hardware and Assembler Languages.- Formal Specification and Verification of ARM6.- A Programming Logic for Java Bytecode Programs.- Verified Bytecode Subroutines.- Proof Automation I.- Complete Integer Decision Procedures as Derived Rules in HOL.- Changing Data Representation within the Coq System.- Applications of Polytypism in Theorem Proving.- Proof Automation II.- A Coverage Checking Algorithm for LF.- Automatic Generation of Generalization Lemmas for Proving Properties of Tail-Recursive Definitions.- Tool Combination.- Embedding of Systems of Affine Recurrence Equations in Coq.- Programming a Symbolic Model Checker in a Fully Expansive Theorem Prover.- Combining Testing and Proving in Dependent Type Theory.- Invited Talk II.- Reasoning about Proof Search Specifications: An Abstract.- Logic Extensions.- Program Extraction from Large Proof Developments.- First Order Logic with Domain Conditions.- Extending Higher-Order Unification to Support Proof Irrelevance.- Advances in Theorem Prover Technology.- Inductive Invariants for Nested Recursion.- Implementing Modules in the Coq System.- MetaPRL – A Modular Logical Environment.- Mathematical Theories.- Proving Pearl: Knuth’s Algorithm for Prime Numbers.- Formalizing Hilbert’s Grundlagen in Isabelle/Isar.- Security.- Using Coq to Verify Java CardTM Applet Isolation Properties.- Verifying Second-Level Security Prools.

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