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The Top 111 Theorem Proving Open Source Projects

Categories > Mathematics > Theorem Proving
Coq ⭐ 3,968
Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
dependent packages 1total releases 4most recent commit 8 hours ago
Fstar ⭐ 2,330
A Proof-oriented Programming Language
most recent commit a day ago
Lean ⭐ 1,676
Lean Theorem Prover
most recent commit 2 years ago
Mathlib ⭐ 1,379
Lean mathematical components library
most recent commit 8 hours ago
Cakeml ⭐ 782
CakeML: A Verified Implementation of ML
most recent commit 3 days ago
Hol ⭐ 528
Canonical sources for HOL4 theorem-proving system. Branch develop is where “mainline development” occurs; when develop passes our regression tests, master is merged forward to catch up.
most recent commit 10 days ago
Software Foundations ⭐ 356
Software Foundations in Idris
most recent commit 4 years ago
Certigrad ⭐ 346
Bug-free machine learning on stochastic computation graphs
most recent commit 4 years ago
Coqgym ⭐ 279
A Learning Environment for Theorem Proving with the Coq proof assistant
most recent commit 5 months ago
Acl2 ⭐ 273
ACL2 System and Books as Maintained by the Community
most recent commit 18 hours ago
Provingground ⭐ 180
Proving Ground: Tools for Automated Mathematics
dependent packages 1total releases 1most recent commit a year ago
Awesome Rust Formalized Reasoning ⭐ 176
An exhaustive list of all Rust resources regarding automated or semi-automated formalization efforts in any area, constructive mathematics, formal algorithms, and program verification.
most recent commit 7 days ago
Langpro ⭐ 97
Tableau-based Theorem Prover for Natural Logic and Language
most recent commit 10 days ago
Gapt ⭐ 82
GAPT: General Architecture for Proof Theory
total releases 2most recent commit 4 months ago
Informatica Public ⭐ 78
Public code developed during my MSc study at University of Bologna
most recent commit 5 years ago
Coq_jupyter ⭐ 69
Jupyter kernel for Coq
total releases 10most recent commit 7 months ago
Coq Art ⭐ 68
Coq code and exercises from the Coq'Art book [[email protected],@Casteran]
most recent commit 2 months ago
Pyprover ⭐ 65
Resolution theorem proving for predicate logic in pure Python.
total releases 26most recent commit a month ago
Gamepad ⭐ 58
A Learning Environment for Theorem Proving
most recent commit 3 years ago
Set Theory ⭐ 54
Coq encoding of ZFC and formalization of the textbook Elements of Set Theory
most recent commit a year ago
Theorema ⭐ 53
Theorema: A System for Automated Reasoning (Theorem Proving) and Automated Theory Exploration based on Mathematica
most recent commit a year ago
Rusty Razor ⭐ 48
Razor is a tool for constructing finite models for first-order theories
dependent packages 2total releases 1most recent commit a year agocargo razor-fol} Downloads
Athena ⭐ 43
Athena is a modern, practical language for proof engineering & natural deduction.
most recent commit a month ago
Coq Tactician ⭐ 38
A Seamless, Interactive Tactic Learner and Prover for Coq
most recent commit 13 hours ago
Ewd998 ⭐ 33
Distributed termination detection on a ring, due to Shmuel Safra: https://www.cs.utexas.edu/users/EWD/ewd09xx/EWD998
most recent commit 7 months ago
Howtoproveacompiler ⭐ 32
Writeup that goes along with this:
most recent commit 5 years ago
Leo Iii ⭐ 29
An Automated Theorem Prover for Classical Higher-Order Logic with Henkin Semantics
most recent commit 3 days ago
Theorem Proving Template ⭐ 27
Template repo for theorem proving in Liquid Haskell
most recent commit 4 years ago
Ewd998 ⭐ 26
Distributed termination detection on a ring, due to Shmuel Safra:
most recent commit a month ago
Polya ⭐ 23
A heuristic procedure for proving inequalities
most recent commit 4 years ago
Coqprime ⭐ 22
Prime numbers for Coq
most recent commit 2 months ago
Scala Isabelle ⭐ 21
A Scala library for controlling/interacting with Isabelle
most recent commit 10 days ago
Archsat ⭐ 19
A proof-producing SMT/McSat solver, handling polymorphic first-order logic, and using an SMT/McSat core extended using Tableaux, Superposition and Rewriting.
most recent commit 9 months ago
Formulanet ⭐ 19
Code for FormulaNet in NIPS 2017
most recent commit 5 years ago
Fm Notes ⭐ 19
Unassorted scribbles on formal methods, type theory, category theory, and so on, and so on
most recent commit 5 days ago
Ostrich ⭐ 18
An SMT Solver for string constraints
most recent commit 22 days ago
Trepplein ⭐ 18
Lean type-checker written in Scala.
most recent commit 8 months ago
Category Theory ⭐ 18
sometimes math is just too much fun
most recent commit 7 years ago
Howtoprovefullabstraction ⭐ 16
Writeup that goes along with this:
most recent commit 5 years ago
Int ⭐ 15
Official code for paper: INT: An Inequality Benchmark for Evaluating Generalization in Theorem Proving
most recent commit 8 months ago
Pomagma ⭐ 14
An inference engine for extensional untyped λ-calculus
dependent packages 3total releases 13most recent commit 10 months agonpm pomagma} Downloads
Linearone ⭐ 12
LinearOne is a prototype theorem prover for first-order (multiplicative, intuitionistic) linear logic.
most recent commit 2 years ago
Psitip ⭐ 12
Python Symbolic Information Theoretic Inequality Prover
most recent commit 2 months ago
Language Toolkit 2 ⭐ 11
A set of tools for analyzing languages via logic and automata
total releases 2most recent commit 8 months ago
Starchild ⭐ 11
F* library for verifying neural networks.
most recent commit 6 months ago
Linearlogic ⭐ 11
A simple development of linear logic in Coq.
most recent commit 10 months ago
Coq Polyhedra ⭐ 11
Formalizing convex polyhedra in Coq
most recent commit 8 months ago
Zsyntax ⭐ 9
Automated theorem prover for a linear logic-based calculus for molecular biology.
most recent commit 4 years ago
Tlaplus At Nju Disalg ⭐ 9
Learning [Lamport's TLA+](http://research.microsoft.com/en-us/um/peopl
most recent commit 9 months ago
Maps Coloring Python ⭐ 8
Four color theorem, Guthrie, Kempe, Tait and other people and stuff
most recent commit 3 months ago
Theorems ⭐ 8
🌐 Theorems that rule this multiverse
most recent commit 4 years ago
Mini Sygus ⭐ 8
a constraint-based syntax-guided synthesis (SyGuS) engine
most recent commit a month ago
Agda Prop ⭐ 7
A Library for Classical Propositional Logic in Agda
most recent commit 3 years ago
Tcoq ⭐ 7
Modification to Coq to record intermediate proof states encountered during a proof
most recent commit 4 years ago
Orbital ⭐ 7
Orbital Library
most recent commit 6 years ago
Pytableaux ⭐ 6
multi-logic proof generator
most recent commit 5 months ago
Chainer Formulanet ⭐ 6
Chainer implementation of FormulaNet
most recent commit 3 years ago
Church Rosser ⭐ 6
A complete proof in Agda of the Church-Rosser theorem for untyped λ-calculus formalizing the methods by Komori-Matsuda-Yamakawa (2014) and the proof by Nagele-van Oostrom-Sternagel (2016); reuses the infrastructure for λ-terms and substitutions provided by the PLFA book
most recent commit 2 months ago
Neuralgs ⭐ 5
Experiments with neural networks learning theorem proving and complex recursion-heavy algorithms
most recent commit 7 months ago
Atp ⭐ 5
Haskell interface to automated theorem provers
most recent commit 10 months ago
Hol ⭐ 5
Forked sources for HOL4 theorem-proving system (for sending PRs)
most recent commit a year ago
Lazuli ⭐ 5
Liquid Haskell library for verifying neural networks.
most recent commit 6 months ago
Grail0 ⭐ 4
Grail0 is a bare-bones proof net theorem prover for multimodal categorial grammars producing natural deduction output
most recent commit 7 years ago
Anthem ⭐ 4
🎼 Translate answer set programs to first-order theorem prover language
most recent commit 2 years ago
Athena ⭐ 4
Athena is a tool that translates Metis ATP proofs to the Agda programming language to check their correctness.
most recent commit 3 years ago
Tpp2014 ⭐ 4
Theorem proving and provers for reliable theory and implementations
most recent commit 8 years ago
Simulink ⭐ 4
most recent commit 6 years ago
Resolver ⭐ 4
Solving SAT problems with Genetic Algorithms.
most recent commit 5 years ago
Functional Algebra ⭐ 4
This package provides a Coq formalization of abstract algebra using a functional programming style. The modules contained within the package span monoids, groups, rings, and fields and provides both axiom definitions for these structures and proofs of foundational results. The current package contains over 800 definitions and proofs.
most recent commit 4 years ago
Mathcomp Extra ⭐ 4
Extra contribution for mathcomp
most recent commit a day ago
Cantor ⭐ 4
Proofs of Cantor's Theorems in Lean 3, which consequently prove that there are infinitely many infinities.
most recent commit 3 months ago
Math O Matic ⭐ 4
Computerized proof system on the web
most recent commit 5 months ago
Mqs ⭐ 3
Math Question Solver
most recent commit 6 months ago
Problem Solving Class Coq ⭐ 3
Rock on Coq for the Problem Solving Class at Nanjing University
most recent commit 3 years ago
Pylogic ⭐ 3
Propositional and First Order Logic Tools
most recent commit 9 years ago
First Order Predicate Logic Theorem Prover ⭐ 3
Autonomous Theorem Prover for First Order Predicate Logic
most recent commit 2 years ago
Philomath ⭐ 3
An LCF-style theorem prover written in C89 (a.k.a ANSI C)
most recent commit 3 months ago
Hrlplus ⭐ 3
Automated mathematical theorem formulation deduced from a provided set of axioms. Builds upon the HRL theorem generator.
most recent commit 2 years ago
Tptp ⭐ 3
Parser and pretty printer for the TPTP language
most recent commit a year ago
Theorem Prover ⭐ 3
A simple theorem prover made for a university programming assignment
most recent commit 5 years ago
Eudoxus ⭐ 2
Formalise Eudoxus reals in lean and prove they form a complete Archimedean ordered field.
most recent commit 2 years ago
Agda Regexp Automata ⭐ 2
Formalization of Regular Languages in Agda: regular expressions, finite-state automata, proof of equivalence, proof of the pumping lemma.
most recent commit 2 years ago
Lean Matroids ⭐ 2
matroids in lean
most recent commit 2 years ago
Proveme ⭐ 2
A Theorem Prover for Propositional Logic
most recent commit 3 months ago
Lambda Formalizations ⭐ 2
Lambda Calculi Formalizations in Coq using nested datatypes for a type-safe term representation
most recent commit 2 months ago
Agda Extras ⭐ 1
Extra stuff (mostly math) for Agda.
most recent commit 2 years ago
Practical Logic ⭐ 1
Code resources from John Harrison's "Handbook of Practical Logic and Automated Reasoning"
most recent commit 2 years ago
Logicoach ⭐ 1
Tool for practicing propositional logic proofs.
most recent commit 2 years ago
Bakerstreet ⭐ 1
A natural deduction helper for macOS
most recent commit 2 years ago
Theorem Proving In Lean Checklist ⭐ 1
Unofficial checklist of my progress through Theorem Proving in Lean
most recent commit 3 years ago
Minirubik ⭐ 1
Solving the mini Rubik (2x2) in Coq
most recent commit 9 months ago
Paxosstore Tlaps ⭐ 1
theorem proving of paxosstore using tlaps
most recent commit 2 years ago
Sudoku ⭐ 1
Sudoku in Coq
most recent commit a year ago
Reference ⭐ 1
Reference manual for the Lean theorem prover
most recent commit 6 years ago
Agda Metis ⭐ 1
Metis Prover Reasoning for Propositional Logic in Agda
most recent commit 4 years ago
Computers And Mathematics ⭐ 1
Repository made for the proposed Student Colloquium on Lean theorem prover on January 2021, at Ramakrishna Mission Vidyamandira
most recent commit 2 years ago
Chsc ⭐ 1
most recent commit 7 years ago
Fol ⭐ 1
Mirror: First-Order Logic Resolution Theorem Prover In Haskell.
most recent commit 11 years ago
Tdd With Idris ⭐ 1
📖 Working through Type-Driven Development with Idris
most recent commit 6 years ago
Gomoltp ⭐ 1
A modal logic thorem prover written in golang
most recent commit 3 years ago
1-100 of 111 projects
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