Automated Reasoning

Third International Joint Conference, IJCAR 2006, Seattle, WA, USA, August 17-20, 2006, Proceedings

By: Natarajan Shankar (Editor), Ulrich Furbach (Editor)

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Paperback | 3 August 2006

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704 Pages

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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.

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Non-Fiction Computing & I.T.Computer Programming & Software Development Software Engineering Computer Science Computer Architecture & Logic Design Artificial Intelligence Expert Systems & Knowledge-Based Systems Mathematics Mathematical Foundation Mathematical Logic

Mathematical theory exploration	p. 1
Searching while keeping a trace : the evolution from satisfiability to knowledge compilation	p. 3
Representing and reasoning with operational semantics	p. 4
Flyspeck I : tame graphs	p. 21
Automatic construction and verification of isotopy invariants	p. 36
Pitfalls of a full floating-point proof : example on the formal proof of the Veltkamp/Dekker algorithms	p. 52
Using the TPTP language for writing derivations and finite interpretations	p. 67
Stratified context unification is NP-complete	p. 82
A logical characterization of forward and backward chaining in the inverse method	p. 97
Connection tableaux with lazy paramodulation	p. 112
Blocking and other enhancements for bottom-up model generation methods	p. 125
The MathServe system for semantic Web reasoning services	p. 140
System description : GCLCprover + GeoThms	p. 145
A sufficient completeness checker for linear order-sorted specifications Modulo Axioms	p. 151
Extending the TPTP language to higher-order logic with automated parser generation	p. 156
Extracting programs from constructive HOL proofs via IZF set-theoretic semantics	p. 162
Towards self-verification of HOL light	p. 177
An interpretation of Isabelle/HOL in HOL light	p. 192
Combining type theory and untyped set theory	p. 205
Cut-simulation in impredicative logics	p. 220
Interpolation in local theory extensions	p. 235
Canonical Gentzcn-type Calculi with (n,k)-ary quantifiers	p. 251
Dynamic logic with non-rigid functions	p. 266
AProVE 1.2 : automatic termination proofs in the dependency pair framework	p. 281
CEL - a polynomial-time reasoner for life science ontologies	p. 287
FaCT++ description logic reasoner : system description	p. 292
Importing HOL into Isabelle/HOL	p. 298
Geometric resolution : a proof procedure based on finite model search	p. 303
A powerful technique to eliminate isomorphism in finite model search	p. 318
Automation of recursive path ordering for infinite labelled rewrite systems	p. 332
Strong cut-elimination systems for Hudelmaier's depth-bounded sequent calculus for implicational logic	p. 347
Eliminating redundancy in higher-order unification : a lightweight approach	p. 362
First-order logic with dependent types	p. 377
Automating proofs in category theory	p. 392
Formal global optimisation with taylor models	p. 408
A purely functional library for modular arithmetic and its application to certifying large prime numbers	p. 423
Proving formally the implementation of an efficient gcd algorithm for polynomials	p. 438
A SAT-based decision procedure for the subclass of unrollable list formulas in ACL2 (SULFA)	p. 453
Solving sparse linear constraints	p. 468
Inferring network invariants automatically	p. 483
A recursion combinator for nominal datatypes implemented in Isabelle/HOL	p. 498
Decidability and undecidability results for Nelson-Oppen and rewrite-based decision procedures	p. 513
Verifying mixed real-integer quantifier elimination	p. 528
Presburger modal logic is PSPACE-complete	p. 541
Tree automata with equality constraints modulo equational theories	p. 557
CASC-J3 - the 3rd IJCAR ATP system competition	p. 572
Matrix interpretations for proving termination of term rewriting	p. 574
Partial recursive functions in higher-order logic	p. 589
On the strength of proof-irrelevant type theories	p. 604
Consistency and completeness of rewriting in the calculus of constructions	p. 619
Specifying and reasoning about dynamic access-control policies	p. 632
On keys and functional dependencies as first-class citizens in description logics	p. 647
A resolution-based decision procedure for SHOIQ	p. 662
Table of Contents provided by Blackwell. All Rights Reserved.

Automated Reasoning

Third International Joint Conference, IJCAR 2006, Seattle, WA, USA, August 17-20, 2006, Proceedings

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