First published Fri Feb 12, 2016; substantive revision Mon Sep 23, 2024 Intuitionistic type theory (also constructive type theory or Martin-Löf type theory) is a formal logical system and philosophical foundation for constructive mathematics. It is a full-scale system which aims to play a similar role for constructive mathematics as Zermelo-Fraenkel Set Theory does for classical mathematics. It is
On his blog, Bob Harper asks what, if anything, a declarative language is. He notes that "declarative" is often used to mean "logic or functional programming", and is (justly) skeptical that this is a useful pairing. However, there's actually a surprisingly simple and useful definition of declarative language: a declarative language is any language with a semantics has some nontrivial existential
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Verified Programming in Guru is a tutorial introduction to Guru: GURU is a pure functional programming language, which is similar in some ways to Caml and Haskell. But GURU also contains a language for writing formal proofs demonstrating the properties of programs. So there are really two languages: the language of programs, and the language of proofs. In comparison to Coq: GURU is inspired largel
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