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Can a type system serve as a proof assistant for foreign functions?

https://www.generacodice.com/de/articolo/1580593/can-a-type-system-serve-as-a-proof-assistant-for-foreign-functions
  type-theory  -  curry-howard  -  proof-assistants
cs.stackexchange cs.stackexchange

forall a b, a -> b [duplicate]

https://www.generacodice.com/de/articolo/1580079/forall-a-b-a-b-duplicate
  type-theory  -  curry-howard
cs.stackexchange cs.stackexchange

Why Church-encoded types aren't sufficient to express inductive proofs?

https://www.generacodice.com/de/articolo/1579209/why-church-encoded-types-aren-t-sufficient-to-express-inductive-proofs
  functional-programming  -  curry-howard  -  proof-techniques  -  automated-theorem-proving
cs.stackexchange cs.stackexchange

Is there an isomorphism between (subset of) category theory and relational algebra?

https://www.generacodice.com/de/articolo/1578654/is-there-an-isomorphism-between-subset-of-category-theory-and-relational-algebra
  relational-algebra  -  category-theory  -  curry-howard
cs.stackexchange cs.stackexchange

Uses of the type Unit

https://www.generacodice.com/de/articolo/1567380/uses-of-the-type-unit
  lambda-calculus  -  curry-howard
cs.stackexchange cs.stackexchange

In the Curry-Howard isomorphism as applied to Hindley-Milner types, what proposition corresponds to a -> [a]?

https://www.generacodice.com/de/articolo/1560384/in-the-curry-howard-isomorphism-as-applied-to-hindley-milner-types-what-proposition-corresponds-to-a-a
  functional-programming  -  programming-languages  -  type-theory  -  curry-howard
cs.stackexchange cs.stackexchange

Isn't Domain of a variable nothing but a constraint?

https://www.generacodice.com/de/articolo/1545793/isn-t-domain-of-a-variable-nothing-but-a-constraint
  type-theory  -  typing  -  constraint-programming  -  constraint-satisfaction  -  curry-howard
cs.stackexchange cs.stackexchange

Curry Howard correspondence and Church-Turing thesis

https://www.generacodice.com/de/articolo/1544684/curry-howard-correspondence-and-church-turing-thesis
  functional-programming  -  logic  -  computability  -  curry-howard  -  church-turing-thesis
cs.stackexchange cs.stackexchange

Given the “programs as proofs” isomorphism, how do we know that the program isn't lying?

https://www.generacodice.com/de/articolo/1542447/given-the-programs-as-proofs-isomorphism-how-do-we-know-that-the-program-isn-t-lying
  type-theory  -  curry-howard  -  proof-assistants  -  correctness-proof  -  intuition
cs.stackexchange cs.stackexchange

Is Wadler's 'Theorems for Free' as general as Design By Contract for establishing correctness?

https://www.generacodice.com/de/articolo/1490144/is-wadler-s-theorems-for-free-as-general-as-design-by-contract-for-establishing-correctness
  type-theory  -  curry-howard
cs.stackexchange cs.stackexchange
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