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wat [2016/02/11 11:02]
nikolaj
wat [2016/04/13 16:23]
nikolaj
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 Here I write down some syntax ideas for **WAT - Writing And Typing**, a programming language with a dependent type system that can very easily be parsed to the standard mathematical syntax you wouldd encounter in physics papers. Here I write down some syntax ideas for **WAT - Writing And Typing**, a programming language with a dependent type system that can very easily be parsed to the standard mathematical syntax you wouldd encounter in physics papers.
  
->In the best case, the type both makes for an interesting mathematical structure (an $\infty$-topos?​) **and** is expressive enough to formalize such structures. ​+>In the best case, the type both makes for an interesting mathematical structure (an $\infty$-topos?​) or embeds in one (the point is that ist semantics should be easy understandable ("​easy"​ from my POV at least)) **and** is expressive enough to formalize such structures. ​
 In view of using it as starting point in [[Outline]],​ one could first do the latter and then explain this aspect of WAT as primary semantic example. In view of using it as starting point in [[Outline]],​ one could first do the latter and then explain this aspect of WAT as primary semantic example.
  
 >>​What'​s a faithful model of (to-be) WAT? >>​What'​s a faithful model of (to-be) WAT?
 +
 +>>>​You can start with almost any dependently typed language, even if parts are missing, if you label/deny using/rule out the potentially dangerous possibilites/​implementations there. What's left is something simple and right.
 +
 +So todo: Make a list of what you actually WANT1111!!! --> What's the smallest theory permitting a semantic model that has all the stuff I like?
  
 === Motivation === === Motivation ===
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