Contemporary Mathematics 2004; 224 pp; softcover Volume: 349 ISBN10: 0821834835 ISBN13: 9780821834831 List Price: US$80 Member Price: US$64 Order Code: CONM/349
 Since its origin in the early 20th century, combinatorial group theory has been primarily concerned with algorithms for solving particular problems on groups given by generators and relations: word problems, conjugacy problems, isomorphism problems, etc. Recent years have seen the focus of algorithmic group theory shift from the decidability/undecidability type of result to the complexity of algorithms. Papers in this volume reflect that paradigm shift. Articles are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science. The volume is suitable for graduate students and research mathematicians interested in computational problems of group theory. Readership Graduate students and research mathematicians interested in computational problems of group theory. Table of Contents  M. Batty, S. L. Braunstein, A. J. Duncan, and S. Rees  Quantum algorithms in group theory
 R. F. Booth, D. Y. Bormotov, and A. V. Borovik  Genetic algorithms and equations in free groups and semigroups
 R. H. Gilman and A. G. Myasnikov  One variable equations in free groups via context free languages
 A. D. Miasnikov and A. G. Myasnikov  Whitehead method and genetic algorithms
 B. Khan  The structure of automorphic conjugacy in the free group of rank two
 R. M. Haralick, A. D. Miasnikov, and A. G. Myasnikov  Pattern recognition approaches to solving combinatorial problems in free groups
 D. Y. Bormotov  Experimenting with primitive elements in \(F_2\)
