Agda is 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.
Although Agda has no separate tactics language, it is possible to program useful tactics within Agda itself. Typically, this works by writing an Agda function that optionally returns a proof of some property of interest. A tactic is then constructed by running this function at type-checking time
This is free and open source software.
Agda is also a dependently typed functional programming language.
Website: wiki.portal.chalmers.se/agda
Support: Documentation
Developer: Ulf Norell; Catarina Coquand and many contributors
License: BSD-like
Agda is written in Haskell. Learn Haskell with our recommended free books and free tutorials.
Related Software
| Proof Assistants | |
|---|---|
| Rocq Prover | Formal proof management system |
| Isabelle | Generic proof assistant; express mathematical formulas in a formal language |
| Lean | Programming language and theorem prover |
| Agda | Interactive system for writing and checking proofs |
| F* | Functional language for verified programs with dependent refinement types |
| HOL4 | Interactive higher-order logic environment for rigorous theorem development |
| Aya | Dependently typed language for formalisation and certified programming |
| Lambdapi | Logical framework for defining and checking expressive type systems |
| HOL Light | Lightweight higher-order logic system with a small trusted kernel |
| PVS | Specification and verification suite for analysing complex systems |
| LISA | Scala-based platform for formal mathematics and automated reasoning |
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