The Role of the Mizar Mathematical Library for Interactive Proof Development in Mizar
| Autor: | Grzegorz Bancerek, Czesław Byliński, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Adam Grabowski, Karol Pąk |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
0102 computer and information sciences
02 engineering and technology Mizar system Mathematical proof computer.software_genre 01 natural sciences Article Development (topology) Artificial Intelligence Automated proof checking 0202 electrical engineering electronic engineering information engineering Proof assistant business.industry Programming language Repository 020207 software engineering Automated theorem proving Computational Theory and Mathematics Knowledge base 010201 computation theory & mathematics Mizar Mathematical Library business computer Software Natural language |
| Zdroj: | Journal of Automated Reasoning |
| ISSN: | 1573-0670 0168-7433 |
| Popis: | The Mizar system is one of the pioneering systems aimed at supporting mathematical proof development on a computer that have laid the groundwork for and eventually have evolved into modern interactive proof assistants. We claim that an important milestone in the development of these systems was the creation of organized libraries accumulating all previously available formalized knowledge in such a way that new works could effectively re-use all previously collected notions. In the case of Mizar, the turning point of its development was the decision to start building the Mizar Mathematical Library as a centrally-managed knowledge base maintained together with the formalization language and the verification system. In this paper we show the process of forming this library, the evolution of its design principles, and also present some data showing its current use with the modern version of the Mizar proof checker, but also as a rich corpus of semantically linked mathematical data in various areas including web-based and natural language proof presentation, maths education, and machine learning based automated theorem proving. |
| Databáze: | OpenAIRE |
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