Matthias Jantzen - Böcker

This monograph treats comprehensively central aspects of string rewriting systems in the form of semi-Thue systems. These are so general as to enable the discussion of all the basic notions and questions that arise in arbitrary replacement systems as used in various areas of computer science. The Church-Rosser property is used in its original meaning and the existence of complete monoid and group presentations is the central point of discussion. Decidability problems with their complexity are surveyed and congruential languages including the deterministic context-free NTS languages are discussed. The book contains a number of generalizations of results published elsewhere, e. g. , the uniqueness of complete string rewriting systems with respect to the underlying order. Completely new and unpublished results which serve as an exposition of techniques and new methods are discussed in detail. With the help of semi-Thue systems it is shown in which situations the famous Knuth-Bendix completion method does not terminate and why, and that in general complete replacement systems cannot always be used as algorithms to solve the word problem.It is suggested how these situations can be stated by using a certain control under which the rewriting is to be performed. This monograph is a reference for graduate students and active researchers in theoretical computer science. The reader is led to the forefront of current research in the area of string rewriting and monoid presentations.

This volume contains the proceedings of STACS 91, a symposium on the theoretical aspects of computer science, held in Hamburg, Germany in February 1991. STACS is held each year, alternately in Germany and France, and is organized jointly by the Special Interest Group for Theoretical Computer Science of the Gesellschaft fuer Informatik (GI) and the Special Interest Group for Applied Mathematics of the Association Francaise des Sciences et Techniques de l'Information et de Systemes (AFCET). The topics covered in this volume include abstract data types, algorithms and data structures, automata and formal languages, complexity of concrete algorithms, computational geometry, cryptography, computer systems theory, logic and semantics, mathematics of computation, program specification, theory of parallel and distributed computation, structural complexity, theory of robotics, VLSI structures, and the theory of databases.

This volume gives the proceedings of the ninth Symposium onTheoretical Aspects of Computer Science (STACS). Thisannual symposium is held alternately in France and Germanyand is organized jointly by the Special Interest Group forFundamental Computer Science of the Association Francaisedes Sciences et Technologies de l'Information et desSyst mes (AFCET) and the Special Interest Group forTheoretical Computer Science of the Gesellschaft frInformatik (GI). The volume includes three invited lectures and sections onparallel algorithms, logic and semantics, computationalgeometry, automata and languages, structural complexity,computational geometry and learning theory, complexity andcommunication, distributed systems, complexity, algorithms,cryptography, VLSI, words and rewriting, and systems.

This book constitutes an anthology of refereed papers arranged to acknowledge the work of Wilfried Brauer on the occasion of his sixtieth birthday. The volume presents 49 revised refereed papers organized in topical sections on computer science and its potential, social implications of computer science, formal languages and automata, structures and complexity theory, Petri nets, systems analysis and distributed systems, software engineering and verification, cognition and artificial intelligence, knowledge representation and reasoning, machine learning, neural networks and robotics, language and information systems.