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| Author | : Franz Baader |
| Publisher | : Cambridge University Press |
| Total Pages | : 318 |
| Release | : 1998 |
| Genre | : Computers |
| ISBN | : 9780521779203 |
Unified and self-contained introduction to term-rewriting; suited for students or professionals.
| Author | : Franz Baader |
| Publisher | : Cambridge University Press |
| Total Pages | : 318 |
| Release | : 1999-08-05 |
| Genre | : Computers |
| ISBN | : 1316101797 |
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.
| Author | : Enno Ohlebusch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 420 |
| Release | : 2013-04-17 |
| Genre | : Computers |
| ISBN | : 1475736614 |
Unlike current survey articles and textbooks, here the so-called confluence and termination hierarchies play a key role. Throughout, the relationships between the properties in the hierarchies are reviewed, and it is shown that for every implication X => Y in the hierarchies, the property X is undecidable for all term rewriting systems satisfying Y. Topics covered include: the newest techniques for proving termination of rewrite systems; a comprehensive chapter on conditional term rewriting systems; a state-of-the-art survey of modularity in term rewriting, and a uniform framework for term and graph rewriting, as well as the first result on conditional graph rewriting.
| Author | : Terese |
| Publisher | : Cambridge University Press |
| Total Pages | : 926 |
| Release | : 2003-03-20 |
| Genre | : Computers |
| ISBN | : 9780521391153 |
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.
| Author | : Manuel Clavel |
| Publisher | : Springer |
| Total Pages | : 799 |
| Release | : 2007-07-19 |
| Genre | : Computers |
| ISBN | : 3540719997 |
Maude is a language and system based on rewriting logic. In this comprehensive account, you’ll discover how Maude and its formal tool environment can be used in three mutually reinforcing ways: as a declarative programming language, as an executable formal specification language, and as a formal verification system. Examples used throughout the book illustrate key concepts, features, and the many practical uses of Maude.
| Author | : Carsten Lutz |
| Publisher | : Springer |
| Total Pages | : 662 |
| Release | : 2019-06-25 |
| Genre | : Mathematics |
| ISBN | : 3030221024 |
This Festschrift has been put together on the occasion of Franz Baader's 60th birthday to celebrate his fundamental and highly influential scientific contributions. The 30 papers in this volume cover several scientific areas that Franz Baader has been working on during the last three decades, including description logics, term rewriting, and the combination of decision procedures. We hope that readers will enjoy the articles gathered in Franz's honour and appreciate the breadth and depth of his favourite areas of computer science.
| Author | : Luis Miguel Silveira |
| Publisher | : Springer |
| Total Pages | : 678 |
| Release | : 2013-03-11 |
| Genre | : Technology & Engineering |
| ISBN | : 9781475710144 |
For over three decades now, silicon capacity has steadily been doubling every year and a half with equally staggering improvements continuously being observed in operating speeds. This increase in capacity has allowed for more complex systems to be built on a single silicon chip. Coupled with this functionality increase, speed improvements have fueled tremendous advancements in computing and have enabled new multi-media applications. Such trends, aimed at integrating higher levels of circuit functionality are tightly related to an emphasis on compactness in consumer electronic products and a widespread growth and interest in wireless communications and products. These trends are expected to persist for some time as technology and design methodologies continue to evolve and the era of Systems on a Chip has definitely come of age. While technology improvements and spiraling silicon capacity allow designers to pack more functions onto a single piece of silicon, they also highlight a pressing challenge for system designers to keep up with such amazing complexity. To handle higher operating speeds and the constraints of portability and connectivity, new circuit techniques have appeared. Intensive research and progress in EDA tools, design methodologies and techniques is required to empower designers with the ability to make efficient use of the potential offered by this increasing silicon capacity and complexity and to enable them to design, test, verify and build such systems.
| Author | : John Harrison |
| Publisher | : Cambridge University Press |
| Total Pages | : 703 |
| Release | : 2009-03-12 |
| Genre | : Computers |
| ISBN | : 0521899575 |
A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
| Author | : Glynn Winskel |
| Publisher | : MIT Press |
| Total Pages | : 388 |
| Release | : 1993-02-05 |
| Genre | : Computers |
| ISBN | : 9780262731034 |
The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.
| Author | : M. R. Sleep |
| Publisher | : |
| Total Pages | : 408 |
| Release | : 1993-06-08 |
| Genre | : Computers |
| ISBN | : |
A comprehensive study and exposition on the benefits of graph and term rewriting. Contains such theoretical advances as a single pushout categorical model of graph rewriting, a new theory of transfinite term rewriting and an abstract interpretation for term graph rewriting. Includes a discussion of parallelism.
