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Concrete abstractions = formalizing ...

Schreiner, Wolfgang.

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Concrete abstractions = formalizing and analyzing discrete theories and algorithms with the RISCAL model checker /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Concrete abstractions/ by Wolfgang Schreiner.
其他題名:	formalizing and analyzing discrete theories and algorithms with the RISCAL model checker /
作者:	Schreiner, Wolfgang.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xii, 271 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-031-24934-1
ISBN:	9783031249341

Concrete abstractions = formalizing and analyzing discrete theories and algorithms with the RISCAL model checker /
Schreiner, Wolfgang.

Concrete abstractionsformalizing and analyzing discrete theories and algorithms with the RISCAL model checker /[electronic resource] :by Wolfgang Schreiner. - Cham :Springer International Publishing :2023. - xii, 271 p. :ill., digital ;24 cm. - Texts & monographs in symbolic computation,2197-8409. - Texts & monographs in symbolic computation..

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.

ISBN: 9783031249341

Standard No.: 10.1007/978-3-031-24934-1doiSubjects--Topical Terms:

522882
Mathematical models.

LC Class. No.: TA342 / .S37 2023

Dewey Class. No.: 511.8

Concrete abstractions = formalizing and analyzing discrete theories and algorithms with the RISCAL model checker /
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520 $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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