Automated Deduction — CADE-15 [electronic resource] : 15th International Conference on Automated Deduction Lindau, Germany, July 5–10, 1998 Proceedings / edited by Claude Kirchner, Hélène Kirchner.

Reasoning about deductions in linear logic -- A combination of nonstandard analysis and geometry theorem proving, with application to Newton's Principia -- Proving geometric theorems using clifford algebra and rewrite rules -- System description: similarity-based lemma generation for model elimination -- System description: Verification of distributed Erlang programs -- System description: Cooperation in model elimination: CPTHEO -- System description: CardTAP: The first theorem prover on a smart card -- System description: leanK 2.0 -- Extensional higher-order resolution -- X.R.S: Explicit reduction systems — A first-order calculus for higher-order calculi -- About the confluence of equational pattern rewrite systems -- Unification in lambda-calculi with if-then-else -- System description: An equational constraints solver -- System description: CRIL platform for SAT -- System description: Proof planning in higher-order logic with ?Clam -- System description: An interface between CLAM and HOL -- System description: Leo — A higher-order theorem prover -- Superposition for divisible torsion-free abelian groups -- Strict basic superposition -- Elimination of equality via transformation with ordering constraints -- A resolution decision procedure for the guarded fragment -- Combining Hilbert style and semantic reasoning in a resolution framework -- ACL2 support for verification projects -- A fast algorithm for uniform semi-unification -- Termination analysis by inductive evaluation -- Admissibility of fixpoint induction over partial types -- Automated theorem proving in a simple meta-logic for LF -- Deductive vs. model-theoretic approaches to formal verification -- Automated deduction of finite-state control programs for reactive systems -- A proof environment for the development of group communication systems -- On the relationship between non-horn magic sets and relevancy testing -- Certified version of Buchberger's algorithm -- Selectively instantiating definitions -- Using matings for pruning connection tableaux -- On generating small clause normal forms -- Rank/activity: A canonical form for binary resolution -- Towards efficient subsumption.

This book constitutes the refereed proceedings of the 15th International Conference on Automated Deduction, CADE-15, held in Lindau, Germany, in July 1998. The volume presents three invited contributions together with 25 revised full papers and 10 revised system descriptions; these were selected from a total of 120 submissions. The papers address all current issues in automated deduction and theorem proving based on resolution, superposition, model generation and elimination, or connection tableau calculus, in first-order, higher-order, intuitionistic, or modal logics, and describe applications to geometry, computer algebra, or reactive systems.