String-Rewriting Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook String-Rewriting Systems write by Ronald V. Book. This book was released on 2012-12-06. String-Rewriting Systems available in PDF, EPUB and Kindle. The subject of this book is string-rewriting systems. It is generally accepted that string-rewriting was first introduced by Axel Thue in the early part of this century. In the 1960's and early 1970's, it received renewed attention due to interest in formal language theory. In the 1980's and 1990's, it has received more interest since it can be viewed as a special case of term rewriting, a subject that has become important in the study of automated deduction. Today, string-rewriting is studied by researchers in theoretical computer science and also by researchers interested in the foundations of artificial intelligence. A sketch of the way that the subject has developed is contained in Chapter 0, and the reader is advised to begin with that chapter. Both authors have been active in the field and have lectured on the subject in several universities. Lecture notes have been produced and dis tributed. This monograph is a result of revising and rewriting those notes. It represents an attempt by the authors to present the concepts that the authors consider to be most fundamental and to gather together the most useful results in such a way that they can be understood and used in studies relating to more general rewriting, to automated deduction, and to algo rithmic problems of algebraic structures. This monograph is written for independent study by researchers in the oretical computer science or in the foundations of artificial intelligence.
Term Rewriting Systems
Term Rewriting Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Term Rewriting Systems write by Terese. This book was released on 2003-03-20. Term Rewriting Systems available in PDF, EPUB and Kindle. Term rewriting systems developed out of mathematical logic and are an important part of theoretical computer science. They consist of sequences of discrete transformation steps where one term is replaced with another and have applications in many areas, from functional programming to automatic theorem proving and computer algebra. This 2003 book starts at an elementary level with the earlier chapters providing a foundation for the rest of the work. Much of the advanced material appeared here for the first time in book form. Subjects treated include orthogonality, termination, completion, lambda calculus, higher-order rewriting, infinitary rewriting and term graph rewriting. Many exercises are included with selected solutions provided on the web. A comprehensive bibliography makes this book ideal both for teaching and research. A chapter is included presenting applications of term rewriting systems, with many pointers to actual implementations.
Loops of Superexponential Lengths in One-rule String Rewriting
Loops of Superexponential Lengths in One-rule String Rewriting - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Loops of Superexponential Lengths in One-rule String Rewriting write by Alfons Geser. This book was released on 2002. Loops of Superexponential Lengths in One-rule String Rewriting available in PDF, EPUB and Kindle. Loops are the most frequent cause of non-termination in string rewriting. In the general case, non-terminating, non-looping string rewriting systems exist, and the uniform termination problem is undecidable. For rewriting with only one string rewriting rule, it is unknown whether non-terminating, non-looping systems exist and whether uniform termination is decidable. If in the one-rule case, non-termination is equivalent to the existence of loops, as McNaughton conjectures, then a decision procedure for the existence of loops also solves the uniform termination problem. As the existence of loops of bounded lengths is decidable, the question is raised how long shortest loops may be. We show that string rewriting rules exist whose shortest loops have superexponential lengths in the size of the rule.
Confluent String Rewriting
Confluent String Rewriting - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Confluent String Rewriting write by Matthias Jantzen. This book was released on 2012-12-06. Confluent String Rewriting available in PDF, EPUB and Kindle. Replacement systems, such as term rewriting systems, tree manipulat ing systems, and graph grammars, have been used in Computer Science in the context of theorem proving, program optimization, abstract data types, algebraic simplification, and symbolic comput ation. Replacement systems for strings arose about seventy years earlier in the area of combinatory logic and group theory. The most natural and appropriate formalism for dealing with string rewriting is the notion of a semi-Thue system and this monograph treats its central aspects. The reduction relation is here defined firstly by the direction of the rules and secondly by some metric that yields efficient algorithms. These systems are general enough to discuss the basic notions of arbitrary replacement systems, such as termination, confluence, and the Church-Rosser property in its original meaning. Confluent semi-Thue systems in which each and every derivation consists of finitely many steps only are called complete; they guarantee the existence of unique normal forms as canonical representatives of the Thue congruence classes. Each such system can be considered a nondeterministic algorithm for the word problem which works correctly without backtracking. This is often conceptually simpler and more elegant than an ad hoc construction. In many cases a replace ment system can be altered to a complete system by the Knuth-Bendix completion method.
The Algorithmic Beauty of Plants
The Algorithmic Beauty of Plants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Algorithmic Beauty of Plants write by Przemyslaw Prusinkiewicz. This book was released on 2012-12-06. The Algorithmic Beauty of Plants available in PDF, EPUB and Kindle. Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the computer simulation of plant development. 150 illustrations, one third of them in colour, vividly demonstrate the spectacular results of the algorithms used to model plant shapes and developmental processes. The latest in computer-generated images allow us to look at plants growing, self-replicating, responding to external factors and even mutating, without becoming entangled in the underlying mathematical formulae involved. The authors place particular emphasis on Lindenmayer systems - a notion conceived by one of the authors, Aristid Lindenmayer, and internationally recognised for its exceptional elegance in modelling biological phenomena. Nonetheless, the two authors take great care to present a survey of alternative methods for plant modelling.
