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Concrete Abstractions: Formalizing and Analyzing Discrete Theories and Algorithms with the Riscal Model Checker

Concrete Abstractions: Formalizing and Analyzing Discrete Theories and Algorithms with the Riscal Model Checker

Hardcover

Series: Texts & Monographs in Symbolic Computation

FictionGeneral ComputersGeneral Mathematics

ISBN10: 303124933X
ISBN13: 9783031249334
Publisher: Springer Nature
Published: Apr 12 2023
Pages: 271
Weight: 1.27
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
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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General Computers