We offer a mathematical proof of consistency for Peano Arithmetic PA formalizable in PA. This result is compatible with Goedel's Second Incompleteness Theorem since our consistency proof does not...

Reflective proof tactics and metaprogramming for Agda. - xplat/agda-tactics

Bullet Physics SDK: real-time collision detection and multi-physics simulation for VR, games, visual effects, robotics, machine learning etc. - bulletphysics/bullet3

speaker: Neil Ghani A tutorial on what open games are, how they compose and how they can be useful in optimizing economic and computational issues.

presented at the Third Workshop on String Diagrams in Computation, Logic and Physics (STRINGS 3) https://arxiv.org/abs/1908.10660 playlist https://www.youtub...

The Christian doctrine of trinitarianism states that there is one God that is manifest in three persons, the Father, the Son, and the Holy Spirit, who together form the Holy Trinity.   The doctrine…

This document defines the mathematical backbone of the Statebox programming language. In the simplest way possible, Statebox can be seen as a clever way to tie together different theoretical...

We introduce the theory IH of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IH are derived using Lack's approach to composing PROPs: they feature two Hopf...

Many categorical frameworks have been proposed to formalize the idea of gluing Petri nets with each other. Such frameworks model net gluings in terms of sharing of resources or synchronization of...

CONTEXT: Data accessors allow one to read and write components of a data structure, such as the fields of a record, the variants of a union, or the elements of a container. These data accessors...

A List of Foundational Haskell Papers . Contribute to cohomolo-gy/haskell-resources development by creating an account on GitHub.

Resources for the aspiring optician. Contribute to cohomolo-gy/optics-resources development by creating an account on GitHub.

Background OCaml is a functional programming language with strong static types, Hindley–Milner type inference and garbage collection. In this article, we share our experience in prototyping chemoinformatics and structural bioinformatics software in OCaml.…