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Mizar system
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{{for|the star system|Mizar (star)}} {{Infobox programming language | name = Mizar | logo = [[File:Mizar system logo.gif]] | logo caption = | screenshot = Mizar MathWiki screenshot.png | collapsible = yes | screenshot caption = Mizar MathWiki screenshot | file ext = .miz .voc | paradigm = [[Declarative programming|Declarative]] | scope = | released = 1973 | designer = [[Andrzej Trybulec]] | developer = | latest release version = | latest release date = <!-- {{start date and age|YYYY|MM|DD}} --> | latest preview version = | latest preview date = <!-- {{start date and age|YYYY|MM|DD}} --> | typing = [[Weak typing|Weak]], [[Static typing|static]] | implementations = | dialects = | influenced by = [[Automath]] | influenced = [[OMDoc]], [[HOL Light]] and [[Coq (software)|Coq]] mizar modes | programming language = | platform = | operating system = | license = | website = [http://mizar.uwb.edu.pl/ www.mizar.org] | wikibooks = }} The '''Mizar system''' consists of a [[formal language]] for writing mathematical definitions and proofs, a [[proof assistant]], which is able to [[Automated proof checking|mechanically check]] proofs written in this language, and a library of [[mathematical formalization|formalized mathematics]], which can be used in the proof of new theorems.<ref name="A Brief Overview of Mizar">{{cite conference | last1 = Naumowicz | first1 = Adam | last2 = Kornilowicz | first2 = Artur | editor1-last = Berghofer | editor1-first = Stefan | editor2-last = Nipkow | editor2-first = Tobias | editor3-last = Urban | editor3-first = Christian | editor4-last = Wenzel | editor4-first = Makarius | contribution = A Brief Overview of Mizar | doi = 10.1007/978-3-642-03359-9_5 | pages = 67–72 | publisher = Springer | series = Lecture Notes in Computer Science | title = Theorem Proving in Higher Order Logics, 22nd International Conference, TPHOLs 2009, Munich, Germany, August 17–20, 2009. Proceedings | volume = 5674 | year = 2009| isbn = 978-3-642-03358-2 }}</ref> The system is maintained and developed by the Mizar Project, formerly under the direction of its founder [[Andrzej Trybulec]]. In 2009 the Mizar Mathematical Library was the largest coherent body of strictly formalized mathematics in existence.<ref name="Arrow">{{cite journal | last = Wiedijk | first = Freek | title = Formalizing Arrow's theorem | journal = [[Sādhanā (journal)|Sādhanā]] | year = 2009 | volume = 34 | pages = 193–220 | issue = 1 | doi=10.1007/s12046-009-0005-1| hdl = 2066/75428 | doi-access = free | hdl-access = free }}</ref>
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