Computer Science – Digital Libraries
Scientific paper
2011-07-24
Intelligent Computer Mathematics, Lecture Notes in Computer Science 6824, pp. 276-7, 2011
Computer Science
Digital Libraries
Accepted at CICM 2011: Conferences in Intelligent Computer Mathematics, Track C: Systems and Projects
Scientific paper
10.1007/978-3-642-22673-1_19
The Mizar Mathematical Library (MML) is a rich database of formalized mathematical proofs (see http://mizar.org). Owing to its large size (it contains more than 1100 "articles" summing to nearly 2.5 million lines of text, expressing more than 50000 theorems and 10000 definitions using more than 7000 symbols), the nature of its contents (the MML is slanted toward pure mathematics), and its classical foundations (first-order logic, set theory, natural deduction), the MML is an especially attractive target for research on foundations of mathematics. We have implemented a system, mizar-items, on which a variety of such foundational experiements can be based. The heart of mizar-items is a method for decomposing the contents of the MML into fine-grained "items" (e.g., theorem, definition, notation, etc.) and computing dependency relations among these items. mizar-items also comes equipped with a website for exploring these dependencies and interacting with them.
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