Interactive Theorem Proving and Program Development: Coq'art: The Calculus of Inductive Constructions (Paperback)

1 A Brief Overview.- 2 Types and Expressions.- 3 Propositions and Proofs.- 4 Dependent Products, or Pandora's Box.- 5 Everyday Logic.- 6 Inductive Data Types.- 7 Tactics and Automation.- 8 Inductive Predicates.- 9 Functions and Their Specifications.- 10 Extraction and Imperative Programming.- 11 A Case Study.- 12 The Module System.- 13 Infinite Objects and Proofs.- 14 Foundations of Inductive Types.- 15 General Recursion.- 16 Proof by Reflection.- Insertion Sort.- References.- Coq and Its Libraries.- Examples from the Book.