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: over 10 years ago

Related projects:

Repository Description Stars
unimath/foundations A proof assistant library implementing univalent foundations of mathematics 241
vafeiadis/hahn A collection of lemmas and tactics about lists and binary relations for a proof assistant 30
math-comp/multinomials A library providing a monomial algebra framework for polynomials over ring structures. 14
unimath/unimath Formalizes mathematics using the univalent point of view 964
affeldt-aist/infotheo A formalization of information theory and linear error-correcting codes in Coq. 64
coq-community/gaia A Coq implementation of mathematical concepts from N. Bourbaki's Elements of Mathematics 30
marshall-lee/software_foundations A collection of Coq proof solutions to Software Foundations course exercises 33
choukh/baby-set-theory A Coq-based tutorial on set theory and theorem-proving using formalized mathematical proofs 43
zertovitch/mathpaqs A collection of reusable mathematical components in Ada 11
adampetcher/fcf A framework for machine-checked proofs of cryptography in the computational model. 48
math-comp/mczify A Coq library that enables the use of Micromega arithmetic solvers for goals stated with Mathematical Components definitions 24
bmsherman/topology A programming language and framework for formal topology and probability in Coq. 32
ilyasergey/pnp A tutorial project on using Coq to mechanize mathematics with dependent types 160
dunnl/tealeaves A framework for abstract syntactical reasoning in Coq. 23
fibo/algebra A comprehensive TypeScript library that provides a foundation for abstract algebra and geometric algebra using complex numbers, matrices, and higher-dimensional structures. 107