A Brief Overview of Mizar
Mizar is the name of a formal language derived from informal mathematics and computer software that enables proof-checking of texts written in that language. The system has been actively developed since 1970s, growing into a popular proof assistant accompanied with a huge repository of formalized mathematical knowledge. In this short overview, we give an outline of the key features of the Mizar language, the ideas and theory behind the system, its main applications, and current development.
KeywordsProof Assistant Inaccessible Cardinal Jordan Curve Theorem Mizar Mathematical Library Syntactic Construct
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- 4.Fitch, F.B.: Symbolic Logic. An Introduction. The Ronald Press Company (1952)Google Scholar
- 6.Jaśkowski, S.: On the rules of supposition in formal logic. Studia Logica 1 (1934)Google Scholar
- 7.Matuszewski, R., Rudnicki, P.: Mizar: the first 30 years. Mechanized Mathematics and Its Applications 4(1), 3–24 (2005)Google Scholar
- 8.Mizar home page: http://mizar.org
- 9.Naumowicz, A.: Teaching How to Write a Proof. In: Formed 2008: Formal Methods in Computer Science Education, pp. 91–100 (2008)Google Scholar
- 11.Ono, K.: On a practical way of describing formal deductions. Nagoya Mathematical Journal 21 (1962)Google Scholar
- 12.QED Manifesto: http://www.rbjones.com/rbjpub/logic/qedres00.htm
- 14.Trybulec, A.: Tarski Grothendieck set theory. Formalized Mathematics 1(1), 9–11 (1990)Google Scholar