Re: What binary operation lambda quantifier corresponds to?
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Re: What binary operation lambda quantifier corresponds to?         

Group: comp.lang.functional · Group Profile
Author: Mark Tarver
Date: Sep 8, 2008 05:20

On 6 Sep, 19:52, Tegiri Nenashi gmail.com> wrote:
> Observation: all quantuifiers correspond to some binary algebraic
> operation. Consider:
>
> 1. Sigma summation and integral are iterative forms of binary plus.
> 2. Pi-capital product is iterative form of multiplication.
> 3. Lattice supremum is iterative form binary meet.
> 5. Lattice infinum is iterative form binary join.
> 6. Existential and universal quatifiers are lattice supremum and
> infinum.
>
> Now, there must be a binary operation that lambda is iterative form as
> well?

This might have some relevance.

How to Build a Quantifier Machine

http://www.lambdassociates.org/studies/study04.htm

Mark
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