Jon Awbrey · @Inquiry
165 followers · 970 posts · Server mathstodon.xyzPropositions As Types • 1
• https://inquiryintoinquiry.com/2013/01/29/propositions-as-types-1/
One of my favorite mathematical tricks — it almost seems too tricky to be true — is the #PropositionsAsTypesAnalogy. Moreover, I see hints the 2-part analogy can be extended to a 3-part analogy, as follows.
\[\text{proof hint : proof : proposition ~::~ untyped term : typed term : type}\]
See my notes on #PropositionsAsTypes for more information.
• https://oeis.org/wiki/Propositions_As_Types_Analogy
#CurryHowardIsomorphism #LambdaCalculus #ProofTheory #TypeTheory
#typetheory #ProofTheory #lambdacalculus #CurryHowardIsomorphism #propositionsastypes #propositionsastypesanalogy
4sphere · @4sphere
251 followers · 252 posts · Server mathstodon.xyzPart of the Migration. Moved from @4sphere@kolektiva.social
Interested in #topology (for fun and #TDA )
#GraphicalLinearAlgebra and similar notations like string diagrams and #ExistentialGraphs
#CurryHowardIsomorphism
#Semantics for humans and computers
#topoi
#CategoryTheory
#WordEmbeddings (in #NLP )
#language
#logic
#SFF
#History of science, math, societies
etc.
Trans rights are human rights; blm; workers solidarity; native rights; and all the various other ways of not being vile to people
#history #sff #logic #language #nlp #wordembeddings #categorytheory #topoi #semantics #CurryHowardIsomorphism #ExistentialGraphs #GraphicalLinearAlgebra #TDA #topology #introduction