Lecture Notes on the Lambda Calculus
by Peter Selinger
Publisher: Dalhousie University 2007
Number of pages: 106
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.
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This is a book on the foundations of programming languages. The emphasis is on the concept of type, which organizes the computational universe in the same way that the concept of set may be seen as an organizing principle for mathematics.
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