Foundations

Mathematical framework

A mathematical library for a proof assistant that provides the foundation for univalent semantics

Voevodsky's original development of the univalent foundations of mathematics in Coq

GitHub

53 stars
3 watching
3 forks
Language: Coq
last commit: about 12 years ago

Related projects:

RepositoryDescriptionStars
unimath/foundationsA proof assistant library implementing univalent foundations of mathematics241
vafeiadis/hahnA collection of lemmas and tactics about lists and binary relations for a proof assistant30
math-comp/multinomialsA library providing a monomial algebra framework for polynomials over ring structures.14
unimath/unimathFormalizes mathematics using the univalent point of view964
affeldt-aist/infotheoA formalization of information theory and linear error-correcting codes in Coq.64
coq-community/gaiaA Coq implementation of mathematical concepts from N. Bourbaki's Elements of Mathematics30
marshall-lee/software_foundationsA collection of Coq proof solutions to Software Foundations course exercises33
choukh/baby-set-theoryA Coq-based tutorial on set theory and theorem-proving using formalized mathematical proofs43
zertovitch/mathpaqsA collection of reusable mathematical components in Ada11
adampetcher/fcfA framework for machine-checked proofs of cryptography in the computational model.48
math-comp/mczifyA Coq library that enables the use of Micromega arithmetic solvers for goals stated with Mathematical Components definitions24
bmsherman/topologyA programming language and framework for formal topology and probability in Coq.32
ilyasergey/pnpA tutorial project on using Coq to mechanize mathematics with dependent types160
dunnl/tealeavesA framework for abstract syntactical reasoning in Coq.23
fibo/algebraA comprehensive TypeScript library that provides a foundation for abstract algebra and geometric algebra using complex numbers, matrices, and higher-dimensional structures.107