The Untyped Lambda Calculus - userpages.uni-kob...
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The Untyped Lambda Calculus - userpages.uni-kob...
What's the lambda calculus? • It is the core of functional languages. • It is a
mathematical system for studying programming languages. ✦ design,
specification ...
x=1
Resources: The slides of this lecture were derived from [Järvi], with permission of the original author, by copy & paste or by selection, annotation, or rewording. [Järvi] is in turn based on [Pierce] as the underlying textbook.
let x = 1 in ...
x(1). x.set(1)
!x(1)
Programming Paradigms and Formal Semantics
The Untyped Lambda Calculus Ralf Lämmel [Järvi] Slides by J. Järvi: “Programming Languages”, CPSC 604 @ TAMU (2009) [Pierce] B.C. Pierce: Types and Programming Languages, MIT Press, 2002
≈1h
What’s the lambda calculus? • It is the core of functional languages. • It is a mathematical system for studying programming languages. ✦
design, specification, implementation, type systems, et al.
• It comes in variations of typing: implicit/explicit/none. • Formal systems built on top of simply typed lambda calculus: ✦
