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• CommentRowNumber1.
• CommentAuthorTodd_Trimble
• CommentTimeAug 16th 2012

I have been adding material to partial combinatory algebra.

I plan on linking this to an article on functional completeness for cartesian closed categories, and on deduction theorems for various simple calculi.

• CommentRowNumber2.
• CommentAuthorDaniil
• CommentTimeSep 3rd 2015

The change from the 16th revison to the 17th contains a typo. It reads:

let $Hom(f, g)$ be the set of $a$ in $A$ such that for all $x$ in $X$ and $a'$ in $f(x)$, $a$ is an element of $g(x)$, and $a a'$ is defined (that is, $a$ is applicable to $a'$.

I changed it to

let $Hom(f, g)$ be the set of $a$ in $A$ such that for all $x$ in $X$ and $a'$ in $f(x)$, $a a'$ is defined (that is, $a$ is applicable to $a'$), and $a a'$ is an element of $g(x)$.

• CommentRowNumber3.
• CommentAuthorTodd_Trimble
• CommentTimeSep 3rd 2015

You made the right call. Thanks, Daniil.

• CommentRowNumber4.
• CommentAuthorJames Francese
• CommentTimeNov 2nd 2019

• CommentRowNumber5.
• CommentAuthorjoseville
• CommentTimeDec 13th 2021

Error and fix from https://math.stackexchange.com/a/4331329/833760 Special thanks to Taroccoesbrocco

• CommentRowNumber6.
• CommentAuthorjoseville
• CommentTimeDec 13th 2021

Error and fix from https://math.stackexchange.com/a/4331329/833760 Special thanks to Taroccoesbrocco

• CommentRowNumber7.
• CommentAuthorjoseville
• CommentTimeDec 13th 2021

Fix formatting

• CommentRowNumber8.
• CommentAuthorjoseville
• CommentTimeDec 13th 2021

Error and fix discussed here: https://math.stackexchange.com/a/4331329/833760 Special thanks to Taroccoesbrocco

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