Applications and libraries/Theorem provers

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Theorem provers

Agda is a system for incrementally developing proofs and programs. Agda is also a functional language with Dependent types. This language is very similar to cayenne and agda is intended to be a (almost) full implementation of it in the future.
Djinn generates Haskell code from a type declaration, using a decision procedure from intuitionistic propositional calculus.
Paradox processes first-order logic problems and tries to find finite-domain models for them.
Dumatel is a prover based on many-sorted term rewriting (TRW) and equational reasoning
Camila is a system for software development using formal methods. Other materials on formal methods can be found also on Analysis and design page.