proof-theory

Programming Language Theory λΠ

List of resources about foundational knowledge for programmers (supposed to last a few decades)

Proof theory seminar

An exhaustive condensed detachment formal proof generator for Hilbert systems in proof theory.

Convert logical formulas and generate their syntax trees as vector images in SVG format. Structuralize pure C-N formulas, pure D-proofs, and index-based summaries of pure D-proofs into a universal representation that is based on the Standard Galactic Alphabet and digits of the Alteran language of the Stargate franchise.

Interactive proof tree editing

My contributions to Metamath's mmsolitaire project.

The Open Deduction Proof Editor allows proof theorists (or anyone) to deconstruction proofs step by step. It currently supports deep inference formalisms, namely Open Deduction and naturally the Calculus of Structures. The front end of the application is written in Java, while the back end is written in Maude. There is also an implementation of proof search both with and without proof variables.

Absurdly sophisticated proofs of simple mathematical facts in Lean 4

My master thesis (and related code) in Logic at the University of Bergen.

Equivalence of natural deduction and sequent calculus in HOL4

Exploring the depths of mathematics through the study of its foundations

An attempt at unpacking in layman's terms what mathematics is and how it is created.

Parser for lambda terms, written in Haskell, that is also able to execute a list of operations on the terms

A webapp for creating sequent proof of propositional formulas

a collection of rulesets for qbar and other automated proof frameworks

Convert Proposition Trees to Conjunctive Normal Form (CNF) or Disjunctive Normal Form (DNF)

Housing useful resusable equations and formulas in calculus, discrete mathematics, and linear algebra.

My mathematical enquires