coqPackages.HoTT
Homotopy Type Theory is an interpretation of Martin-Löf’s intensional type theory into abstract homotopy theory. Propositional equality is interpreted as homotopy and type isomorphism as homotopy equivalence. Logical constructions in type theory then correspond to homotopy-invariant constructions on spaces, while theorems and even proofs in the logical system inherit a homotopical meaning. As the natural logic of homotopy, type theory is also related to higher category theory as it is used e.g. in the notion of a higher topos.
The HoTT library is a development of homotopy-theoretic ideas in the Coq proof assistant. It draws many ideas from Vladimir Voevodsky's Foundations library (which has since been incorporated into the Unimath library) and also cross-pollinates with the HoTT-Agda library.
- Name
- HoTT
- Homepage
- Version
- 9.0
- Maintainers
- Platforms
- i686-cygwin
- x86_64-cygwin
- x86_64-darwin
- aarch64-darwin
- i686-freebsd
- x86_64-freebsd
- aarch64-freebsd
- x86_64-solaris
- aarch64-linux
- armv5tel-linux
- armv6l-linux
- armv7a-linux
- armv7l-linux
- i686-linux
- loongarch64-linux
- m68k-linux
- microblaze-linux
- microblazeel-linux
- mips-linux
- mips64-linux
- mips64el-linux
- mipsel-linux
- powerpc-linux
- powerpc64-linux
- powerpc64le-linux
- riscv32-linux
- riscv64-linux
- s390-linux
- s390x-linux
- x86_64-linux
- aarch64-netbsd
- armv6l-netbsd
- armv7a-netbsd
- armv7l-netbsd
- i686-netbsd
- m68k-netbsd
- mipsel-netbsd
- powerpc-netbsd
- riscv32-netbsd
- riscv64-netbsd
- x86_64-netbsd
- i686-openbsd
- x86_64-openbsd
- x86_64-redox
- Defined
- Source