Ausführliche Beschreibung | Agda is a dependently typed functional programming language: It has inductive
families, which are like 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).
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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-Löf. It has many similarities with other proof assistants based on
dependent types, such as Coq, Epigram and NuPRL.
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The Agda standard library contains modules for many common data structures and
proof patterns. Modules provided include:
- Algebra: Specifying and reasoning about abstract algebraic structures
- Category: Using idioms from category theory to structure functional programs
- Coinduction: Support for programming coindutively
- Data: Data types and properties about data types
- Foreign: Relating to the foreign function interface
- Induction: A general framework for induction
- IO: Input/output related functions
- Level: Universe levels
- Relations: Properties of and proofs about relations
- Size: Sizes used by the sized types mechanism
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This package contains the complete library.
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