This textbook offers a unified and self-contained introduction to the field of term rewriting. It covers all the basic material (abstract reduction systems, termination, confluence, completion, and combination problems), but also some important and closely connected subjects: universal algebra, unification theory, Gröbner bases and Buchberger's algorithm. The main algorithms are presented both informally and as programs in the functional language Standard ML (an appendix contains a quick and easy introduction to ML). Certain crucial algorithms like unification and congruence closure are covered in more depth and Pascal programs are developed. The book contains many examples and over 170 exercises. This text is also an ideal reference book for professional researchers: results that have been spread over many conference and journal articles are collected together in a unified notation, proofs of almost all theorems are provided, and each chapter closes with a guide to the literature.
This volume contains the contributions to the Joint German/Austrian Con- rence on Arti?cial Intelligence, KI 2001, which comprises the 24th German and the 9th Austrian Conference on Arti?cial Intelligence. They are divided into the following categories: – 2 contributions by invited speakers of the conference; – 29 accepted technical papers, of which 5 where submitted as application papers and 24 as papers on foundations of AI; – 4 contributions by participants of the industrial day, during which companies working in the ?eld presented their AI applications. After a long period of separate meetings, the German and Austrian Societies ̈ for Arti?cial Intelligence, KI and OGAI, decided to hold a joint conference in Vienna in 2001. The two societies had previously held one joint conference. This took place in Ottstein, a small town in Lower Austria, in 1986. At that time, the rise of expert system technology had also renewed interest in AI in general, with quite some expectations for future advances regarding the use of AI techniques in applications pervading many areas of our daily life. Since then ?fteen years have passed, and we may want to comment, at the beginning of a newcentury, on the progress that has been made in this direction.
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.
This book constitutes the refereed proceedings of the 11th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2004, held in Montevideo, Uruguay in March 2005. The 33 revised full papers presented together with abstracts of 4 invited papers were carefully reviewed and selected from 77 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, fuzzy logic, linear logic, multi-modal logic, proof theory, formal verification, protocol verification, constraint logic programming, programming calculi, theorem proving, etc.
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