Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 16th 2012
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI 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.

   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.

2. • CommentRowNumber2.
   • CommentAuthorDaniil
   • CommentTimeSep 3rd 2015
   • PermaLink
   Author: Daniil
   Format: MarkdownItexThe change from the 16th revison to the 17th contains a typo. It [reads](http://ncatlab.org/nlab/revision/partial+combinatory+algebra/17): > 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 $g(x)$.

   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 $g(x)$.

3. • CommentRowNumber3.
   • CommentAuthorTodd_Trimble
   • CommentTimeSep 3rd 2015
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexYou made the right call. Thanks, Daniil.

   You made the right call. Thanks, Daniil.

4. • CommentRowNumber4.
   • CommentAuthorJames Francese
   • CommentTimeNov 3rd 2019
   • PermaLink
   Author: James Francese
   Format: MarkdownItexAdded some redirects. <a href="https://ncatlab.org/nlab/revision/diff/partial+combinatory+algebra/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/partial+combinatory+algebra/21">v21</a>, <a href="https://ncatlab.org/nlab/show/partial+combinatory+algebra">current</a>

   Added some redirects.

   diff, v21, current

5. • CommentRowNumber5.
   • CommentAuthorjoseville
   • CommentTimeDec 13th 2021
   • PermaLink
   Author: joseville
   Format: MarkdownItexError and fix from https://math.stackexchange.com/a/4331329/833760 Special thanks to Taroccoesbrocco <a href="https://ncatlab.org/nlab/revision/diff/partial+combinatory+algebra/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/partial+combinatory+algebra/24">v24</a>, <a href="https://ncatlab.org/nlab/show/partial+combinatory+algebra">current</a>

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

   diff, v24, current

6. • CommentRowNumber6.
   • CommentAuthorjoseville
   • CommentTimeDec 13th 2021
   • PermaLink
   Author: joseville
   Format: MarkdownItexError and fix from https://math.stackexchange.com/a/4331329/833760 Special thanks to Taroccoesbrocco <a href="https://ncatlab.org/nlab/revision/diff/partial+combinatory+algebra/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/partial+combinatory+algebra/24">v24</a>, <a href="https://ncatlab.org/nlab/show/partial+combinatory+algebra">current</a>

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

   diff, v24, current

7. • CommentRowNumber7.
   • CommentAuthorjoseville
   • CommentTimeDec 13th 2021
   • PermaLink
   Author: joseville
   Format: MarkdownItexFix formatting <a href="https://ncatlab.org/nlab/revision/diff/partial+combinatory+algebra/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/partial+combinatory+algebra/24">v24</a>, <a href="https://ncatlab.org/nlab/show/partial+combinatory+algebra">current</a>

   Fix formatting

   diff, v24, current

8. • CommentRowNumber8.
   • CommentAuthorjoseville
   • CommentTimeDec 13th 2021
   • PermaLink
   Author: joseville
   Format: MarkdownItexError and fix discussed here: https://math.stackexchange.com/a/4331329/833760 Special thanks to Taroccoesbrocco <a href="https://ncatlab.org/nlab/revision/diff/partial+combinatory+algebra/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/partial+combinatory+algebra/24">v24</a>, <a href="https://ncatlab.org/nlab/show/partial+combinatory+algebra">current</a>

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

   diff, v24, current