Artificial intelligence and symbolic mathematical computations -- Qualitative modeling of physical systems in AI research -- On the topological structure of configuration spaces -- A symbolic approach to interval constraint problems -- An algebraic approach to knowledge-based modeling -- Intelligent user interfaces for symbolic and numeric computation -- The progress towards an intelligent assistant — A discussion paper -- On mathematical modeling in robotics -- Gröbner bases: Strategies and applications -- Heuristic search strategies for Cylindrical Algebraic Decomposition -- Unified domains and abstract computational structures -- Completion and invariant theory in symbolic computation and artificial intelligence -- A type-coercion problem in computer algebra -- Algorithmic development of power series -- A cooperative approach to query processing: Integrating historical, structural, and behavioral knowledge sources -- A desk-top sequent calculus machine -- Gentzen-style characterizations of Negation as Failure -- A new translation from deduction into integer programming -- Reasoning about time -- Learning qualitative physics reasoning from regime analysis -- Qualitative mathematical modelling of genetic algorithms.

This volume contains the papers, updated in some cases, presented at the first AISMC (Artificial Intelligence and Symbolic Mathematical Computations)conference, held in Karlsruhe, August 3-6, 1992. This was the first conference to be devoted to such a topic after a long period when SMC made no appearance in AI conferences, though it used to be welcome in the early days of AI. Some conferences were held recently on mathematics and AI, but none was directly comparable in scope to this conference. Because of the novelty of the domain, authors were given longer allocations of time than usual in which to present their work. As a result, extended and fruitful discussions followed each paper. The introductory chapter in this book, which was not presented during the conference, reflects in many ways the flavor of these discussions and aims to set out the framework for future activities in this domain of research. In addition to the introduction, the volume contains 20 papers.