Lambda Calculus Fixed Point Operator Y (strict)

home1 home2
and the

   Y (lazy)
   Y (strict)

The strict version of Y works with the strict interpreter (the lazy one will not). You can program this Y in many conventional languages such as [Algol-68].

let F = lambda f. lambda n. if n=0 then 1 else n*f(n-1),

    Y = lambda G.
        let Ggg = lambda g. lambda n. G(g g)n
        in  Ggg Ggg

in Y F 10

{\fB Strict Version of Y. \fP}

Coding Ockham's Razor, L. Allison, Springer

A Practical Introduction to Denotational Semantics, L. Allison, CUP

free op. sys.
free office suite
~ free photoshop
web browser

λ ...
:: list cons
nil the [ ] list
null  predicate
hd head (1st)
tl tail (rest)

© L. Allison   (or as otherwise indicated),
Faculty of Information Technology (Clayton), Monash University, Australia 3800 (6/'05 was School of Computer Science and Software Engineering, Fac. Info. Tech., Monash University,
was Department of Computer Science, Fac. Comp. & Info. Tech., '89 was Department of Computer Science, Fac. Sci., '68-'71 was Department of Information Science, Fac. Sci.)
Created with "vi (Linux + Solaris)",  charset=iso-8859-1,  fetched Thursday, 25-Jul-2024 05:40:30 AEST.