LISA (LISA Is Sets Automated) is a proof assistant based on first-order logic sequent calculus and set theory.
It provides a trusted kernel for checking proofs, together with a domain-specific language and supporting utilities for developing formal proofs, tactics, and mathematical theories.
This is free and open source software.
Key Features
- Based on first-order logic, sequent calculus, and set theory.
- Trusted kernel verifies all accepted theorems and proofs.
- Formalisation of first-order logic.
- Proofs formalised through sequent calculus.
- Domain-specific language for writing proofs and mathematical developments.
- Supports development of proof tactics.
- Parser and printer for proofs and formulas.
- Provides unification algorithms.
- Includes a mathematical library with set theory developments.
Website: github.com/epfl-lara/lisa
Support:
Developer: Laboratory for Automated Reasoning and Analysis (LARA)
License: Apache License 2.0
LISA is written in Scala. Learn Scala 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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