Concrete Abstractions : Formalizing and Analyzing Discrete Theories and Algorithms with the RISCAL Model Checker, Hardback Book

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

Part of the Texts & Monographs in Symbolic Computation series

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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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