An Overview of the MIZAR Project

Automated Reasoning for Mizar: Artificial Intelligence through Knowledge Exchange

This paper gives an overview of the existing link between the Mizar project for formalization of mathematics and Automated Reasoning tools (mainly the Automated Theorem Provers (ATPs)). It explains the motivation for this work, gives an overview of the translation method, discusses the projects and works that are based on it, and possible future projects and directions.

Editorial : Sustainable Development of Cognitive Science and Technology Ecosystem an Overview to the “Human Brain Project” as a Functioning Sample

Mizar: An Impression

This note presents an introduction to the Mizar system, followed by a brief comparison between Mizar and Coq. Appended are a Mizar grammar and an annotated example of a complete Mizar article. 1 What It Is Mizar is a system for representing mathematical proof in a computer such that a program can check the correctness. It has been developed by Andrzej Trybulec and his team in Bialystok, Poland ...

An OMDoc representation of Mizar library

Mizar library is one of the largest database of formalized mathematics. It contains mathematical articles which were collected over almost 20 years. Even though the database is highly optimized for human access, machines, on the other hand, can hardly understand and process the data. Thus the stored knowledge cannot be manipulated at its highest potential. Therefore Mizar System can be seen as ...

Formal Verification of DES Using the Mizar Proof Checker

In this paper, we introduce our formalization of Data Encryption Standard (DES) algorithm. DES, which was formerly the most widely used symmetric cryptosystem in the world, is a block cipher that was selected by the National Bureau of Standards as an official Federal Information Processing Standard for the United States in 1976. We prove the correctness of our formalization by using the Mizar p...