IA014 Advanced Functional Programming

Lecture II - Untyped Lambda Calculus

Lecture dates

19. 2. 2018, 26. 2. 2018, 5. 3. 2018

Reading

There are many different texts on (untyped) lambda calculus you can use. To get you started, here is a selection:

Books

  • H. Barendregt: Lambda calculus : its syntax and semantics. Rev. ed. Amsterdam: Elsevier, 1998. xv, 621 s. ISBN 0-444-86748-1
  • J. Hindley, P. Seldin: Introduction to combinators and the lambda-calculus. Cambridge: Cambridge University Press, 1986. 359 s. ISBN 0-521-31839-4.
  • J. Zlatuška: Lambda-kalkul. Vyd. 1. Brno: Masarykova univerzita, 1993. 264 s. ISBN 80-210-0826-1

The last book is in Czech​. Pierce's book also covers lambda calculus in necessary detail.

Other sources

H. Barendregt: Introduction to lambda calculus [PDF]

Wikipedia entry on Lambda Calculus

Stanford Encyclopedia of Philosophy entry on Lambda Calculus

H. Barendregt: Lambda Calculi with Types [PDF]

Lambda calculus evaluator

Lambda calculus reduction workbench (IT University of Copenhagen)

Slides

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https://is.muni.cz/el/1433/jaro2018/IA014/um/02-lambda.pdf