Concrete Abstractions : Formalizing and Analyzing Discrete Theories and Algorithms with the RISCAL Model Checker / by Wolfgang Schreiner
(Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria. ISSN:21978409)
データ種別 | 電子ブック |
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版 | 1st ed. 2023. |
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2023 |
大きさ | XII, 271 p. 79 illus., 53 illus. in color : online resource |
著者標目 | *Schreiner, Wolfgang author SpringerLink (Online service) |
書誌詳細を非表示
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/978-3-031-24934-1 |
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件 名 | LCSH:Computer science -- Mathematics
全ての件名で検索
LCSH:Mathematics -- Data processing 全ての件名で検索 LCSH:Mathematical logic FREE:Mathematics of Computing FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Logic and Foundations |
分 類 | LCC:QA76.9.M35 DC23:004.0151 |
書誌ID | EB00002002 |
ISBN | 9783031249341 |
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