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230505 ||| eng |
| 020 |
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|a 9783031249341
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| 100 |
1 |
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|a Schreiner, Wolfgang
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| 245 |
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0 |
|a Concrete Abstractions
|h Elektronische Ressource
|b Formalizing and Analyzing Discrete Theories and Algorithms with the RISCAL Model Checker
|c by Wolfgang Schreiner
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| 250 |
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|a 1st ed. 2023
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2023, 2023
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| 300 |
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|a XII, 271 p. 79 illus., 53 illus. in color
|b online resource
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| 505 |
0 |
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|a 1. Theories and Algorithms -- 2. Searching and Sorting -- 3. Sets, Relations, and Graphs -- 4. Propositional Logic -- 5. Big Number and Polynomial Arithmetic -- 6. Puzzles and Games -- 7. Concurrent Systems -- 8. Further Topics -- Appendices -- References -- Index
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| 653 |
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|a Mathematics of Computing
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| 653 |
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|a Computer science / Mathematics
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| 653 |
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|a Mathematical logic
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| 653 |
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|a Computational Mathematics and Numerical Analysis
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| 653 |
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|a Mathematics / Data processing
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| 653 |
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|a Mathematical Logic and Foundations
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria
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| 028 |
5 |
0 |
|a 10.1007/978-3-031-24934-1
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-031-24934-1?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 004.0151
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| 520 |
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|a This book demonstrates how to formally model various mathematical domains (including algorithms operating in these domains) in a way that makes them amenable to a fully automatic analysis by computer software. The presented domains are typically investigated in discrete mathematics, logic, algebra, and computer science; they are modeled in a formal language based on first-order logic which is sufficiently rich to express the core entities in whose correctness we are interested: mathematical theorems and algorithmic specifications. This formal language is the language of RISCAL, a “mathematical model checker” by which the validity of all formulas and the correctness of all algorithms can be automatically decided. The RISCAL software is freely available; all formal contents presented in the book are given in the form of specification files by which the reader may interact with the software while studying the corresponding book material
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