Concrete Abstractions Formalizing And Analyzing Discrete Theories And Algorithms - Wolfgang Schreiner

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.