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A Proof Theory for General Unification
  • Language: en
  • Pages: 181

A Proof Theory for General Unification

In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and...

Conditional and Typed Rewriting Systems
  • Language: en
  • Pages: 392

Conditional and Typed Rewriting Systems

This book presents throroughly revised full versions of the 21 papers accepted for the Fourth International Workshop on Conditional and Typed Rewriting Systems, CTRS-94, held in conjunction with ICALP '94 in Jerusalem, Israel, in July 1994. The volume reports the research advances in the area of rewriting in general achieved since the predecessor workshop held in July 1992. Among the topics addressed are conditional term rewriting, typed systems, higher-order rewriting, graph rewriting, combinator-based languages, and constrained rewriting.

Processes, Terms and Cycles: Steps on the Road to Infinity
  • Language: en
  • Pages: 655

Processes, Terms and Cycles: Steps on the Road to Infinity

This Festschrift is dedicated to Jan Willem Klop on the occasion of his 60th birthday. The volume comprises a total of 23 scientific papers by close friends and colleagues, written specifically for this book. The papers are different in nature: some report on new research, others have the character of a survey, and again others are mainly expository. Every contribution has been thoroughly refereed at least twice. In many cases the first round of referee reports led to significant revision of the original paper, which was again reviewed. The articles especially focus upon the lambda calculus, term rewriting and process algebra, the fields to which Jan Willem Klop has made fundamental contributions.

Rewriting Techniques and Applications
  • Language: en
  • Pages: 373

Rewriting Techniques and Applications

Transmission electron microscopy (TEM) is now recognized as a crucial tool in materials science. This book, authored by a team of expert Chinese and international authors, covers many aspects of modern electron microscopy, from the architecture of novel electron microscopes, advanced theories and techniques in TEM and sample preparation, to a variety of hands-on examples of TEM applications. Volume II illustrates the important role that TEM is playing in the development and characterization of advanced materials, including nanostructures, interfacial structures, defects, and macromolecular complexes.

Algebra, Meaning, and Computation
  • Language: en
  • Pages: 679

Algebra, Meaning, and Computation

  • Type: Book
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  • Published: 2006-06-21
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  • Publisher: Springer

This volume - honoring the computer science pioneer Joseph Goguen on his 65th Birthday - includes 32 refereed papers by leading researchers in areas spanned by Goguen's work. The papers address a variety of topics from meaning, meta-logic, specification and composition, behavior and formal languages, as well as models, deduction, and computation, by key members of the research community in computer science and other fields connected with Joseph Goguen's work.

Rewriting Techniques and Applications
  • Language: en
  • Pages: 397

Rewriting Techniques and Applications

  • Type: Book
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  • Published: 2003-08-02
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 13th International Conference on Rewriting Techniques and Applications, RTA 2002, held in Copenhagen, Denmark, in July 2002. The 20 regular papers, two application papers, and four system descriptions presented together with three invited contributions were carefully reviewed and selected from 49 submissions. All current aspects of rewriting are addressed.

Term Rewriting and Applications
  • Language: en
  • Pages: 528

Term Rewriting and Applications

  • Type: Book
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  • Published: 2005-03-31
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  • Publisher: Springer

This volume contains the proceedings of the 16th International Conference on Rewriting Techniques and Applications (RTA2005),whichwasheldonApril19– 21, 2005, at the Nara-Ken New Public Hall in the center of the Nara National Park in Nara, Japan. RTA is the major forum for the presentation of research on all aspects of rewriting.PreviousRTAconferenceswereheldinDijon(1985),Bordeaux(1987), Chapel Hill (1989), Como (1991), Montreal (1993), Kaiserslautern (1995), Rutgers (1996), Sitges (1997), Tsukuba (1998), Trento (1999), Norwich (2000), Utrecht (2001), Copenhagen (2002), Valencia (2003), and Aachen (2004). This year, there were 79 submissions from 20 countries, of which 31 papers were accept...

Advances in Computing Science - ASIAN'98
  • Language: en
  • Pages: 315

Advances in Computing Science - ASIAN'98

  • Type: Book
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  • Published: 2003-05-20
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 4th Asian Computing Science Conference, ASIAN'98, held in Manila, The Philippines, in December 1998. The 17 revised full papers presented were carefully reviewed and selected from a total of 43 submissions. Also included are a few invited contributions. Among the topics covered are automated deduction, proof theory, rewriting systems, program semantics, distributed processing, algorithms, and graph-theoretical aspects.

Software Engineering with OBJ
  • Language: en
  • Pages: 428

Software Engineering with OBJ

Software Engineering with OBJ: Algebraic Specification in Action is a comprehensive introduction to OBJ, the most widely used algebraic specification system. As a formal specification language, OBJ makes specifications and designs more precise and easier to read, as well as making maintenance easier and more accurate. OBJ differs from most other specification languages not just in having a formal semantics, but in being executable, either through symbolic execution with term rewriting, or more generally through theorem proving. One problem with specifications is that they are often wrong. OBJ can help validate specifications by executing test cases, and by proving properties. As well as prov...

Symbolic Rewriting Techniques
  • Language: en
  • Pages: 291

Symbolic Rewriting Techniques

  • Type: Book
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  • Published: 2013-03-11
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  • Publisher: Birkhäuser

Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: • the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, • the Buchberger algorithm for Gröbner bases, • the Ritt-Wu characteristic set method for ordinary differential equations, and • the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication.