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SKI Combinator Calculus

30 pointsby barrister10 months ago

2 comments

marvinborner10 months ago
I built a fun game [0] that shows the power of SKI calculus. Similar to infinite craft [1], you start with a base of elements (S and K combinators) and build your way up to any lambda term!<p>[0]: <a href="https:&#x2F;&#x2F;infinite-apply.marvinborner.de&#x2F;" rel="nofollow">https:&#x2F;&#x2F;infinite-apply.marvinborner.de&#x2F;</a><p>[1]: <a href="https:&#x2F;&#x2F;neal.fun&#x2F;infinite-craft&#x2F;" rel="nofollow">https:&#x2F;&#x2F;neal.fun&#x2F;infinite-craft&#x2F;</a>
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tromp10 months ago
The most recent change is<p>&gt; The simplest possible term forming a basis is X = λx λy λz. x z (y (λ_.z)), which satisfies X (X X) (X (X X) X X X X X) = K, and X (X (X X (X X (X X))(X (X (X X (X X)))))) X X = S.