T H E O R E M A W O R K S H O P 9-10 June, 1997 RISC, Hagenberg by Linz, Austria The "Theorema" project at RISC aims at extending current computer algebra systems by facilities for supporting mathematical proving. In cooperation with RISC, related research is going on at SCORE, University of Tsukuba, Japan. The purpose of the workshop is to present the current status of these projects and to stimulate further interaction between the two groups. Guests from the international research community are cordially invited to participate. The proceedings will be published in the RISC Technical Report Series. PRELIMINARY PROGRAM (further details will be announced at http://www.risc.uni-linz.ac.at/conferences/Theorema) Mo, June 9: Overview and Language 09:00-09:15 Opening 09:15-09:45 B. Buchberger ``Overview on Theorema'' 09:45-10:15 B. Buchberger, F. Kriftner ``Theorema: The Language'' 10:15-10:45 Coffee Break Equational Solving and Narrowing 10:45-11:15 T. Suzuki, K. Nakagawa, T. Ida, `` Higher-Order Lazy Narrowing Calculus: A Computation Model for a Higher-order Functional Logic Language.'' 11:15-11:45 M. Hamada, "Lazy Conditional Narrowing Calculus and Its Implementation" 11:45-14:00 Lunch 14:00-15:00 Tour through RISC and SWP Provers 15:00-15:30 B. Buchberger, T. Jebelean ``Theorema: The Predicate Prover''. 15:30-16:00 B. Buchberger, D. Vasaru ``Theorema: The Induction Prover for Lists''. 16:00-16:15 Coffee Break 16:15-16:45 J. Matsuda, A Prover for Propositional Logic in Natural (Deduction) Style: Implementation in C 16:45-17:15 E. Tomuta ``Using Functors in Organizing Proofs'' Dinner in Linz Tue, June 10: Rewriting I 09:30-10:00 A. Middeldorp, Decidable Call by Need Computations in Term Rewriting 10:00-10:30 B. Buchberger, M. Marin ``Proving by Simplification'' 10:30-11:00 Coffee Break Rewriting II 11:00-11:30 M. Hamana, Term Rewriting with Sequences 11:30-12:00 T. Yamada, Logicality of Conditional Rewrite Systems 12:00-14:00 Lunch Guests Section 14:00-14:30 D. Wang "Clifford Algebraic Calculus for Geometric Reasoning" 14:30-15:00 D. Shand "Investigating some Embedded Verification Techniques for Computer Algebra Systems" 15:00-15:30 Coffee Break 15:30- Demo + Discussion Dinner in Hagenberg For registration info, please contact Daniela Vasaru at dvasaru@risc.uni-linz.ac.at .