000 | 03459nam a22005415i 4500 | ||
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001 | 978-3-031-24934-1 | ||
003 | DE-He213 | ||
005 | 20240423125507.0 | ||
007 | cr nn 008mamaa | ||
008 | 230411s2023 sz | s |||| 0|eng d | ||
020 |
_a9783031249341 _9978-3-031-24934-1 |
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024 | 7 |
_a10.1007/978-3-031-24934-1 _2doi |
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050 | 4 | _aQA76.9.M35 | |
072 | 7 |
_aUYAM _2bicssc |
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072 | 7 |
_aCOM014000 _2bisacsh |
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072 | 7 |
_aUYAM _2thema |
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082 | 0 | 4 |
_a004.0151 _223 |
100 | 1 |
_aSchreiner, Wolfgang. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aConcrete Abstractions _h[electronic resource] : _bFormalizing and Analyzing Discrete Theories and Algorithms with the RISCAL Model Checker / _cby Wolfgang Schreiner. |
250 | _a1st ed. 2023. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2023. |
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300 |
_aXII, 271 p. 79 illus., 53 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, _x2197-8409 |
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505 | 0 | _a1. 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. | |
520 | _aThis 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. | ||
650 | 0 |
_aComputer science _xMathematics. |
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650 | 0 |
_aMathematics _xData processing. |
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650 | 0 | _aMathematical logic. | |
650 | 1 | 4 | _aMathematics of Computing. |
650 | 2 | 4 | _aComputational Mathematics and Numerical Analysis. |
650 | 2 | 4 | _aMathematical Logic and Foundations. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031249334 |
776 | 0 | 8 |
_iPrinted edition: _z9783031249358 |
776 | 0 | 8 |
_iPrinted edition: _z9783031249365 |
830 | 0 |
_aTexts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, _x2197-8409 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-24934-1 |
912 | _aZDB-2-SCS | ||
912 | _aZDB-2-SXCS | ||
942 | _cSPRINGER | ||
999 |
_c178542 _d178542 |