formal-proofs

There are 3 repositories under formal-proofs topic.

• leanprover-community / mathlib3

  Lean 3's obsolete mathematical components library: please use mathlib4

  leantheorem-provingformal-methodsformal-proofsformal-mathematicsproof-automation
  Language:Lean 1667

• niltok / magic-in-ten-mins

  十分钟魔法练习

  adtformal-proofsformal-verificationfunctional-programminghktjavalambda-calculusmonadtutorial
  Language:HTML 751

• statebox / idris-ct

  formally verified category theory library

  category-theoryformal-verificationformal-proofs
  Language:Idris 253
• principia

  LogicalAtomist / principia

  The Principia Rewrite

  logichistory-of-philosophycoqcoq-ecosystemformal-logicformal-mathematicsformal-proofslatexlatex-packages
  Language:TeX 203

• data61 / PSL

  proofpslisabelleproof-strategiesconjectureholmachine-learningartificial-intelligenceitpinteractive-theorem-provingdomain-specific-languageinductionproof-assistantformal-proofsformal-verificationformal-methodsproof-search
  Language:Isabelle 65

• coq-community / hydra-battles

  Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]

  coqhydra-battlesordinal-notationsformal-proofsprimitive-recursive-functionsdiscrete-mathematicscoq-nix-toolboxdocker-coq-action
  Language:Coq 63

• aripiprazole / rinha

  🧪 | Rinha de Backend Lean4

  formal-proofslean4pgsqlrinha-de-backend-2023-q3
  Language:Lean 61

• mo271 / formal_book

  Formalizing "Proofs from THE BOOK"

  formal-proofsleanmathematics
  Language:Lean 37

• Gbury / archsat

  A proof-producing SMT/McSat solver, handling polymorphic first-order logic, and using an SMT/McSat core extended using Tableaux, Superposition and Rewriting.

  theorem-provingsmtsatformal-proofsocamlpolymorphismrewriting
  Language:OCaml 26

• Matafou / LibHyps

  A Coq library providing tactics to deal with hypothesis

  coqformal-proofsproof-assistanttacticstacticalhypothesis
  Language:Coq 20

• appliedfm / vstyle

  A style guide for Coq

  coqstyle-guideappliedfmformal-verificationformal-methodsformal-specificationformal-proofsformal-semanticsformal-mathematicsverificationsoftware-engineeringproof-assistantproofdependent-typeschaskellocaml
  17

• duckki / lean-quantum

  Formalized quantum computing in Lean theorem prover

  quantum-computingleanformal-proofs
  Language:Lean 17

• RiccardoBiosas / LeanGPT

  Experiments with interactive theorem provers, LLMs and formal systems

  ai-assisted-developmentchatgptformal-proofsinteractive-theorem-provingllmmathai-agentsgpt-3langchainlean-theorem-provertheorem-prover
  Language:Coq 17

• SKolodynski / IsarMathLib

  IsarMathLib is a library of formalized mathematics for Isabelle/ZF.

  formal-proofsformal-verificationisabelle-zfformalized-mathematics
  Language:Isabelle 16

• xamidi / pmGenerator

  An exhaustive condensed detachment formal proof generator for Hilbert systems in proof theory.

  proof-theorypropositional-calculushpctbblogiccondensed-detachmentproof-complexitympiformal-proofshilbert-systemsfrege-systemsmathematical-logic
  Language:C++ 13

• expln / metamath-lamp

  Metamath-lamp (Lite Assistant for Metamath Proofs) is a GUI-based proof assistant for creating formal mathematical proofs in Metamath that does not require installation (just run it directly using your web browser).

  formal-proofsmetamath
  Language:ReScript 12

• acorrenson / automatik

  A library of formalized automaton algorithms

  formal-verificationformal-proofsalgorithmsautomatacoqcoq-formalizationgraph
  Language:Coq 9

• PragmaTwice / TNT

  some simple&naive formal proof of trivial Number Theory, using Agda/Coq, just to practice skills

  agdacoqformal-proofsnumber-theory
  Language:Agda 8

• unitb / temporal-logic

  verificationtemporal-logicleanformal-proofsformal-methods
  Language:Lean 8

• dtumad / lean-crypto-formalization

  Library for formalizing cryptography proofs in Lean 3 (Deprecated)

  cryptographyformal-mathematicsformal-methodsformal-proofsleanproof-automationtheorem-proving
  Language:Lean 7

• NotBad4U / coqlang_temporal_logic

  Formalization of temporal logic in Coq

  coqtemporal-logiccoq-formalizationformal-proofs
  Language:Coq 6

• BSI-Bund / CafeOBJ-PACE

  CafeOBJ proof of Key Secrecy of PACE with OTS/CafeOBJ.

  cafeobjformal-proofsformal-methods
  Language:AMPL 5

• unitb / lean-lib

  verificationleandependent-typesformal-proofs
  Language:Lean 5

• Zeta611 / ebproofx

  ebproof extended

  formal-proofslatexlatex-packageproof-treestabularrayebprooftex
  Language:TeX 5

• Bram-Hub / aris-java

  Aris: a logic engine/formal proof interface; 2nd generation, successor to the C version of Aris.

  natural-deductionformal-proofsinterface
  Language:Java 4

• liyang / thesis

  Compiling Concurrency Correctly—Verifying Software Transactional Memory

  thesisagdasoftware-transactional-memoryconcurrencyproofproof-assistantformal-proofs
  Language:TeX 4

• pitmonticone / FLT3

  A formalised proof of Fermat's Last Theorem for exponent 3 in the Lean proof assistant.

  formal-mathematicsformalizationleanlean4mathematicsmathematical-programmingproof-assistanttheorem-proveralgebranumber-theoryinteractive-theorem-provingformal-methodsformal-proofs
  Language:TeX 4

• bryangingechen / lean-matroids

  matroids in lean

  matroidsformal-proofsleanformal-mathematicstheorem-proving
  Language:Lean 3

• jcpaik / erdos-tuza-valtr

  A formal verification of a mathematics/combinatorics paper "On the Erdős-Tuza-Valtr Conjecture"

  formal-proofsmathematics
  Language:Lean 3

• joonazan / justified-type-inference

  An implementation of Algorithm W in Idris with a complete proof

  type-inferenceformal-proofsidris
  Language:Idris 3

• logicalhacking / Featherweight_OCL

  Local mirror of Featherweight OCL entry of the Archive of Formal Proofs (AFP).

  oclformal-proofsfirewallholverificationholoclisabelle-hol
  Language:Isabelle 3

• hvanz / PaxosInPluscal

  Paxos algorithm specified and proved in TLA+/PlusCal, with separate processes and invariants for proposers and acceptors.

  paxostlaplustlapluscalformal-verificationformal-proofsdistributed-systemsformal-specificationverification
  Language:TLA 2

• ata-keskin / martingales

  A Formalization of Martingales using Isabelle/HOL

  formal-proofsformalizationisabelle-holmartingalesstochastic-processes
  Language:Isabelle 1

• Hacker-Code-J / Cryptol-CraftCodeLab

  Mastering the Art of Cryptol Programming

  cryptolformal-proofs
  Language:C 1

• pitmonticone / FLT

  Ongoing Lean formalisation of the proof of Fermat's Last Theorem

  algebrafermat-last-theoremformal-mathematicsformal-methodsformal-proofsleanlean4number-theory
  Language:Lean 1

• pthariensflame / agda-fumulas

  An exploration of fumulas in Agda—a new perspective on ring theory

  agdaagda-langagda-libraryalgebraic-structuresformal-proofsmathmathematicsring-theory
  Language:Agda 1