This volume contains the papers, updated in some cases,presented at the first AISMC (Artificial Intelligence andSymbolic Mathematical Computations)conference, held inKarlsruhe, August 3-6, 1992. This was the first conferenceto be devoted to such a topic after a long period when SMCmade no appearance in AI conferences, though it used to bewelcome in the early days of AI. Some conferences were heldrecently on mathematics and AI, but none was directlycomparable in scope to this conference. Because of the novelty of the domain, authors were givenlonger allocations of time than usual in which to presenttheir work. As a result, extended and fruitful discussionsfollowed each paper. The introductory chapter in this book,which was not presented during the conference, reflects inmany ways the flavor of these discussions and aims to setout the framework for future activities in this domain ofresearch. In addition to the introduction, the volumecontains 20 papers.