Concrete Abstractions

丛 书 名：Texts & Monographs in Symbolic Computation

版本说明：1

作     者：Wolfgang Schreiner 

I S B N：(纸本) 9783031249334;9783031249365 

出 版 社：Springer Cham 

出 版 年：1000年

页      数：XII, 271页

主 题 词：Mathematics of Computing Computational Mathematics and Numerical Analysis Mathematical Logic and Foundations 

摘      要：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 *** 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.