**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

**Partial Evaluation and Automatic Program Generation**

by

**Neil D. Jones, Carsten K. Gomard, Peter Sestoft**-

**Prentice Hall**

The book about partial evaluation, a program optimization technique also known as program specialization. It presents principles for constructing partial evaluators for a variety of programming languages, and gives references to the literature.

(

**16017**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.

(

**14270**views)

**Formal Languages**

by

**Keijo Ruohonen**-

**Tampere University of Technology**

In these notes the classical Chomskian formal language theory is fairly fully dealt with, omitting however much of automata constructs and computability issues. Surveys of Lindenmayer system theory and the mathematical theory of codes are given.

(

**8956**views)

**Lectures on the Curry-Howard Isomorphism**

by

**Morten Heine B. Sorensen, Pawel Urzyczyn**-

**Elsevier Science**

This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.

(

**11291**views)