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This book constitutes the refereed proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2008, held in Montreal, Canada, in August 2008. The 17 revised full papers presented together with 1 proof pearl (concise and elegant presentations of interesting examples), 5 tool presentations, and 2 invited papers were carefully reviewed and selected from 40 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalisation of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.

Automatic theorem proving --- Computer science. --- Computer network architectures. --- Software engineering. --- Logic design. --- Programming Languages, Compilers, Interpreters. --- Computer System Implementation. --- Software Engineering/Programming and Operating Systems. --- Mathematical Logic and Formal Languages. --- Logics and Meanings of Programs. --- Software Engineering. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Computer software engineering --- Engineering --- Architectures, Computer network --- Network architectures, Computer --- Computer architecture --- Informatics --- Science --- Programming languages (Electronic computers). --- Architecture, Computer. --- Mathematical logic. --- Computer logic. --- Computer science logic --- Logic, Symbolic and mathematical --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Architecture, Computer --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Electronic data processing --- Languages, Artificial --- Compilers (Computer programs). --- Computer systems. --- Machine theory. --- Compilers and Interpreters. --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics --- ADP systems (Computer systems) --- Computing systems --- Systems, Computer --- Electronic systems --- Cyberinfrastructure --- Compiling programs (Computer programs) --- Computer programs --- Programming software --- Systems software

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Floating-point arithmetic --- Mathematical models.

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Polynomials. --- Inequalities. --- Theorem proving. --- Roots of equations. --- Mathematical programming.

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Air traffic control. --- Airspace. --- Euclidean geometry. --- Algorithms. --- Three dimensional models.

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Floating-point arithmetic --- Mathematical models.