Agda Formalization of 'Initial Algebras Unchained'

This is the formalization from the Paper 'Initial Algebras Unchained - A Novel Initial Algebra Construction Formalized in Agda' accepted for publication at LICS 2024.

• A preprint version is available on arxiv (2405.09504)
• The Agda source code is mirrored on archive.softwareheritage.org

You can browse the html documentation of this Agda formalization online:

• https://arxiv.org/src/2405.09504/anc/index.html

Dependencies

• agda (version 2.6.4)
• agda-categories (v0.2.0)
• agda-stdlib (v2.0, implicitly required by agda-categories)

Assuming that Agda is already installed, the following sections describe the installation of the required libraries and the compilation of the proofs of the present project.

Installing the dependencies

AGDA_DIR=$HOME/.agda/
mkdir -p "$AGDA_DIR"
echo -n > ${AGDA_DIR}/defaults
git clone --depth 1 --branch "v2.0"  "https://github.com/agda/agda-stdlib" "$AGDA_DIR/stdlib-2.0.0"
git clone --depth 1 --branch "v0.2.0"  "https://github.com/agda/agda-categories" "$AGDA_DIR/categories-2.0.0"
find "$AGDA_DIR/stdlib-2.0.0" "$AGDA_DIR/categories-2.0.0" -name '*.agda-lib' | tee ${AGDA_DIR}/libraries

Compiling the project

Checking all the proofs:

agda src/index.agda

Generating the html documentation:

mkdir -p html
agda --html --html-dir=html/ src/index.agda