Search Results for "theorem prover"

Lean 4 is both a programming language and an interactive theorem prover, designed to support formal reasoning while also functioning as an efficient and extensible general-purpose language. The project serves researchers, mathematicians, programmers, and formal methods users who need a system for writing machine-checked proofs as well as executable programs in the same environment. One of its defining characteristics is its emphasis on extensibility, since Lean 4 is built to allow users to develop custom automation, metaprogramming tools, and domain-specific extensions instead of being limited to a fixed proving workflow. ...

Agda is a dependently typed, total functional programming language and interactive theorem prover based on Martin-Löf’s type theory. It allows expressing programs and proofs in the same language, using the Curry–Howard correspondence. It features interactive development via Emacs, Atom, or VS Code. Agda is a dependently typed functional programming language. It has inductive families, i.e., data types which depend on values, such as the type of vectors of a given length. ...

The Archive of Formal Proofs is a collection of proof libraries, examples, and larger scientifc developments, mechanically checked in the theorem prover Isabelle. It is organized in the way of a scientific journal. Submissions are refereed.

ManTa is an equational specification language and tools to support it: theorem prover, code generators (C and Ocaml), frontends.

...In our C like programming language named "SimPL" you can easily and simply annotate your code with preconditions and assertions (also with forall and exists expressions). We then use Microsofts Z3 theorem prover to prove if the behaviour of your program matches what you expected. The easy to use GUI with an integrated Interpreter and Debugger (with a Stackview and HotCodeReplacement) makes it even easier to write your code and find errors. This project has been developed during a University project called PSE ("Praxis der Softwareentwicklung" / "practical experience in software developement") at the Karlsruhe Institute of Technology (KIT) by Andreas Eberle, Nicolas Loza, Olga Plisovskaya, Andreas Waidler and Michael Zangl. ...