**Lecture Notes on the Lambda Calculus**

by Peter Selinger

**Publisher**: Dalhousie University 2007**Number of pages**: 106

**Description**:

Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, type inference, denotational semantics, complete partial orders, and the language PCF.

Download or read it online for free here:

**Download link**

(460KB, PDF)

## Similar books

**Let Over Lambda: 50 Years of Lisp**

by

**Doug Hoyte**-

**Lulu.com**

One of the most hardcore computer programming books out there. Starting with the fundamentals, it describes the most advanced features of the most advanced language: Common Lisp. This book is about macros, that is programs that write programs.

(

**15757**views)

**A Practical Theory of Programming**

by

**Eric C.R. Hehner**-

**Springer**

Understanding programming languages requires knowledge of the underlying theoretical model. This book explores aspects of programming that are amenable to mathematical proof. It describes a simple and comprehensive theory.

(

**10514**views)

**Compositional Semantics**

by

**Gary Hardegree**-

**UMass Amherst**

Contents: Basic Categorial Syntax; Shortcomings of Standard Categorial Syntax; Expanded Categorial Syntax; Examples of Expanded Categorial Syntax; Categorial Logic; Basic Categorial Semantics; Lambda-Abstraction; Expanded Categorial Semantics; etc.

(

**10287**views)

**Understanding Programming Languages**

by

**Monti Ben-Ari**-

**John Wiley & Sons**

The book explains what alternatives are available to the language designer, how language constructs should be used for safety and readability, how language constructs are implemented, the role of language in expressing and enforcing abstractions.

(

**12799**views)