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140122 ||| eng |
020 |
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|a 9783642699627
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100 |
1 |
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|a Ehrig, Hartmut
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245 |
0 |
0 |
|a Fundamentals of Algebraic Specification 1
|h Elektronische Ressource
|b Equations and Initial Semantics
|c by Hartmut Ehrig, Bernd Mahr
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250 |
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|a 1st ed. 1985
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1985, 1985
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300 |
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|a XI, 321 p
|b online resource
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505 |
0 |
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|a Correctness and Completeness of the Equational Calculus -- Term Rewriting with Equations -- Equivalence of Proofs and Term Rewriting with Equations -- Bibliographic Notes for Chapter 5 -- 6 Correctness and Extension of Specifications -- Initial Correctness of Specifications -- Correctness of Specifications with Hidden Functions -- Stepwise Specification by Extensions -- Correctness of Example Specifications -- Bibliographic Notes for Chapter 6 -- 7 Parameterized Specifications and Functors -- Parameterized Specifications -- Categories and Functors -- Free Constructions and Free Functors -- Semantics and Correctness of Parameterized Specifications -- Bibliographic Notes for Chapter 7 -- 8 Parameter Passing -- Specification Morphisms -- Standard Parameter Passing and Pushouts -- Amalgamation -- Persistency and Extension of Functors -- Correctness of Standard Parameter Passing -- Parameterized Parameter Passing -- Iterated Parameter Passing -- Bibliographic Notes for Chapter 8 --
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505 |
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|a 9 Concepts of a Specification Language -- Basic Specifications -- Combination -- Renaming -- Actualization -- Modularization -- Syntax of the Specification Language ACT ONE -- 10 Semantics of the Specification Language ACT ONE -- First Level of Semantics -- Second Level of Semantics -- Semantical Properties and Context-Conditions -- Initial Algebra Semantics -- Bibliographic Notes for the Appendix
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505 |
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|a Historical Remarks -- The Chapters of this Volume -- Further Topics -- 1 Equational Specifications and Algebras -- Basic Examples -- Signatures, Terms, and Algebras -- Equational Specifications and Derivations -- Bibliographic Notes for Chapter 1 -- 2 Specifications of Abstract Data Types -- Abstract Data Types -- Quotient Term Algebras -- Semantics and Correctness of Specifications -- Bibliographic Notes for Chapter 2 -- 3 Initial Semantics of Specifications -- Facts about Homomorphisms -- Term Algebras, Initial and Free Algebras -- Congruences and Quotients -- Initial and Free SPEC-Algebras -- Bibliographic Notes for Chapter 3 -- 4 Specifiability and Characterization of Equational Classes -- Equational Theory and Equational Classes -- Subalgebras -- Products -- Homomorphic Images -- Birkhoff-Characterizations of Equational Classes -- Bibliographic Notes for Chapter 4 -- 5 Equational Calculus and Term Rewriting -- Formal Proofs by Equations --
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653 |
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|a Compilers (Computer programs)
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653 |
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|a Computer Science Logic and Foundations of Programming
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653 |
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|a Compilers and Interpreters
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653 |
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|a Software engineering
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653 |
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|a Computer science
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653 |
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|a Software Engineering
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653 |
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|a Algebra
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653 |
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|a Theory of Computation
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700 |
1 |
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|a Mahr, Bernd
|e [author]
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b SBA
|a Springer Book Archives -2004
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490 |
0 |
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|a Monographs in Theoretical Computer Science. An EATCS Series
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028 |
5 |
0 |
|a 10.1007/978-3-642-69962-7
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856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-642-69962-7?nosfx=y
|x Verlag
|3 Volltext
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082 |
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|a 40,151
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520 |
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|a The aim of this book is to present fundamentals of algebraic specifications with respect to the following three aspects: fundamentals in the sense of a carefully motivated introduction to algebraic specifications, which is easy to understand for computer scientists and mathematicians; fundamentals in the sense of mathematical theories which are the basis for precise definitions, constructions, results, and correctness proofs; and fundamentals in the sense of concepts, which are introduced on a conceptual level and formalized in mathematical terms. The book is equally suitableas a text book for graduate courses and as a reference for researchers and system developers
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