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

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

9783031249341 electronic book
3031249348 electronic book
303124933X
9783031249334

Cham, Switzerland : Springer, 2023.

English

1 online resource (280 pages) : illustrations (black and white, and color).

10.1007/978-3-031-24934-1 doi

TA342 .S37 2023

511/.8

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.

Includes bibliographical references and index.

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Description based on print version record.

Texts and monographs in symbolic computation.

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