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The refereed proceedings of the 19th International Conference on Automated Deduction, CADE 2003, held in Miami Beach, FL, USA in July 2003.

The 29 revised full papers and 7 system description papers presented together with an invited paper and 3 abstracts of invited talks were carefully reviewed and selected from 83 submissions. All current aspects of automated deduction are discussed, ranging from theoretical and methodological issues to the presentation of new theorem provers and systems.

Automated Deduction - CADE-19: 19th International Conference on Automated Deduction Miami Beach, FL, USA, July 28 - August 2, 2003, Proceedings

Session 1: Invited Talk.- SAT-Based Counterexample Guided Abstraction Refinement in Model Checking.- Session 2.- Equational Abstractions.- Deciding Inductive Validity of Equations.- Automating the Dependency Pair Method.- An AC-Compatible Knuth-Bendix Order.- Session 3.- The Complexity of Finite Model Reasoning in Description Logics.- Optimizing a BDD-Based Modal Solver.- A Translation of Looping Alternating Automata into Description Logics.- Session 4.- Foundational Certified Code in a Metalogical Framework.- Proving Pointer Programs in Higher-Order Logic.- ?.- Subset Types and Partial Functions.- Session 5.- Reasoning about Quantifiers by Matching in the E-graph.- Session 6.- A Randomized Satisfiability Procedure for Arithmetic and Uninterpreted Function Symbols.- Superposition Modulo a Shostak Theory.- Canonization for Disjoint Unions of Theories.- Matching in a Class of Combined Non-disjoint Theories.- Session 7.- Reasoning about Iteration in Gödel's Class Theory.- Algorithms for Ordinal Arithmetic.- Certifying Solutions to Permutation Group Problems.- Session 8: System Descriptions.- TRP++ 2.0: A Temporal Resolution Prover.- IsaPlanner: A Prototype Proof Planner in Isabelle.- 'Living Book' :- 'Deduction', 'Slicing', 'Interaction'.- The Homer System.- Session 9: CASC-19 Results.- The CADE-19 ATP System Competition.- Session 10: Invited Talk.- Proof Search and Proof Check for Equational and Inductive Theorems.- Session 11: System Descriptions.- The New WALDMEISTER Loop at Work.- About VeriFun.- How to Prove Inductive Theorems? QuodLibet!.- Session 12: Invited Talk.- Reasoning about Qualitative Representations of Space and Time.- Session 13.- Superposition with Equivalence Reasoning and Delayed Clause Normal Form Transformation.- The Model Evolution Calculus.- Translation of Resolution Proofs into Short First-Order Proofs without Choice Axioms.- Efficient Instance Retrieval with Standard and Relational Path Indexing.- Session 14.- Monodic Temporal Resolution.- A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae.- Schematic Saturation for Decision and Unification Problems.- Session 15.- Unification Modulo ACUI Plus Homomorphisms/Distributivity.- Source-Tracking Unification.- Optimizing Higher-Order Pattern Unification.- Decidability of Arity-Bounded Higher-Order Matching.