Fundamentals of Algebraic Specification 2

1. Front Matter

   Pages I-XI

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2. Introduction

   • Hartmut Ehrig, Bernd Mahr

   Pages 1-8

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3. Informal Introduction to Abstract Modules

   • Hartmut Ehrig, Bernd Mahr

   Pages 9-50

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4. Module Specifications

   • Hartmut Ehrig, Bernd Mahr

   Pages 51-90

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5. Basic Operations on Module Specifications

   • Hartmut Ehrig, Bernd Mahr

   Pages 91-141

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6. General Operations on Module Specifications

   • Hartmut Ehrig, Bernd Mahr

   Pages 143-175

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7. Refinement, Interface Specifications, and Realization

   • Hartmut Ehrig, Bernd Mahr

   Pages 177-221

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8. Development Categories, Simulation, and Transformation

   • Hartmut Ehrig, Bernd Mahr

   Pages 223-262

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9. Constraints

   • Hartmut Ehrig, Bernd Mahr

   Pages 263-301

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10. Module Specifications and Operations with Constraints

    • Hartmut Ehrig, Bernd Mahr

    Pages 303-349

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11. Abstract Act One and Act Two

    • Hartmut Ehrig, Bernd Mahr

    Pages 351-383

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12. Summary of Basic Notions

    • Hartmut Ehrig, Bernd Mahr

    Pages 385-401

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13. Back Matter

    Pages 403-427

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Since the early seventies concepts of specification have become central in the whole area of computer science. Especially algebraic specification techniques for abstract data types and software systems have gained considerable importance in recent years. They have not only played a central role in the theory of data type specification, but meanwhile have had a remarkable influence on programming language design, system architectures, arid software tools and environments. The fundamentals of algebraic specification lay a basis for teaching, research, and development in all those fields of computer science where algebraic techniques are the subject or are used with advantage on a conceptual level. Such a basis, however, we do not regard to be a synopsis of all the different approaches and achievements but rather a consistently developed theory. Such a theory should mainly emphasize elaboration of basic concepts from one point of view and, in a rigorous way, reach the state of the art in the field. We understand fundamentals in this context as: 1. Fundamentals in the sense of a carefully motivated introduction to algebraic specification, which is understandable for computer scientists and mathematicians. 2. Fundamentals in the sense of mathematical theories which are the basis for precise definitions, constructions, results, and correctness proofs. 3. Fundamentals in the sense of concepts from computer science, which are introduced on a conceptual level and formalized in mathematical terms.

• Algebra
• Algebraische Spezifikation
• Category theory
• Formale Spezifikation
• Modul-Spezifikationsrestriktionen
• Software Entwicklung
• Systementwurf

• Technische Universität Berlin, FB 20 (Informatik), Berlin 10, Germany

  Hartmut Ehrig, Bernd Mahr

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