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.

An adventure on formalizing logics using the Agda programming language

Interactive proof tree editing

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 …

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

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.

Tree Proof Generator

Prover9 is an automated theorem prover for first-order and equational logic, and Mace4 searches for finite models and counterexamples.

A reasoning system for large knowledge bases.

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

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.