# [Ebook] ➩ Type Theory and Formal Proof Author Herman Geuvers Rob Nederpelt – Tactical-player.co.uk

Type Theory Is A Fast Evolving Field At The Crossroads Of Logic, Computer Science And Mathematics This Gentle Step By Step Introduction Is Ideal For Graduate Students And Researchers Who Need To Understand The Ins And Outs Of The Mathematical Machinery, The Role Of Logical Rules Therein, The Essential Contribution Of Definitions And The Decisive Nature Of Well Structured Proofs The Authors Begin With Untyped Lambda Calculus And Proceed To Several Fundamental Type Systems, Including The Well Known And Powerful Calculus Of Constructions The Book Also Covers The Essence Of Proof Checking And Proof Development, And The Use Of Dependent Type Theory To Formalise Mathematics The Only Prerequisite Is A Basic Knowledge Of Undergraduate Mathematics Carefully Chosen Examples Illustrate The Theory Throughout Each Chapter Ends With A Summary Of The Content, Some Historical Context, Suggestions For Further Reading And A Selection Of Exercises To Help Readers Familiarise Themselves With The Material

If one aspires to be a working type theorist then that s your book.

This is the most accessible book on type theory I have found so far It starts with the untyped lambda calculus and incrementally increases the sophistication of the type system At every step everything is worked out with simple example and plenty of details The authors don t pull t

As someone who is not a math major, but studies math in my spare time, this book changed me.Before reading this book, as an amateur, I struggled often with simple proofs on an existential level I d read some books on formal logic and foundational mathematics before, and I could understand p

Greate book written by great people One of the best mathematical book I have ever read.I am very grateful to the authors.But the theme is very specific It is for fans of FP and the theory of computations.

Brilliant book, it helped me to finally understand and enjoy lambda calculus

I read the first part of the book and was enlightened on the importance of the type theory Every programmer should have look to this book.