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Agda is a dependently typed functional programming language: It has inductive
families, which are similar to Haskell's GADTs, but they can be indexed by
values and not just types. It also has parameterised modules, mixfix operators,
Unicode characters, and an interactive Emacs interface (the type checker can
assist in the development of your code).

Agda is also a proof assistant: It is an interactive system for writing and
checking proofs. Agda is based on intuitionistic type theory, a foundational
system for constructive mathematics developed by the Swedish logician Per
Martin-Lof. It has many similarities with other proof assistants based on
dependent types, such as Coq, Epigram and NuPRL.

WWW: http://wiki.portal.chalmers.se/agda/