Automated Deduction - CADE-19 [electronic resource] : 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 ModelEvolution 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.

This volume contains the papers presented at the 19th International Conference on Automated Deduction (CADE-19) held 28 July–2 August 2003 in Miami Beach, Florida, USA. They are divided into the following categories: – 4 contributions by invited speakers: one full paper and three short abstracts; – 29 accepted technical papers; – 7 descriptions of automated reasoning systems. These proceedings also contain a short description of the automated theor- proving system competition (CASC-19) organized by Geo? Sutcli?e and Chr- tian Suttner. Despite many competing smaller conferences and workshops covering di?- entaspectsofautomateddeduction,CADEisstillthemajorforumfordiscussing new results on all aspects of automated deduction as well as presenting new s- tems and improvements of established systems. In contrast to the previous year, when CADE was one of the conferences participating in the Third Federated Logic Conference (FLoC 2002), and next year, when CADE will be part of the Second International Joint Conference on Automated Reasoning (IJCAR 2004), CADE-19 was organized as a stand-alone event.