https://github.com/jessealama/mizar-items

Breaking up mizar articles into bits and computing relations among them.
https://github.com/jessealama/mizar-items

Last synced: 4 days ago
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Breaking up mizar articles into bits and computing relations among them.

• Host: GitHub
• URL: https://github.com/jessealama/mizar-items
• Owner: jessealama
• Created: 2010-12-05T22:33:46.000Z (almost 14 years ago)
• Default Branch: master
• Last Pushed: 2013-12-24T04:06:51.000Z (almost 11 years ago)
• Last Synced: 2024-05-09T07:29:18.722Z (6 months ago)
• Language: Common Lisp
• Homepage: http://mizar.org
• Size: 1.04 GB
• Stars: 6
• Watchers: 3
• Forks: 2
• Open Issues: 5
• Metadata Files:
  • Readme: README.mkd

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README

        
Break Mizar articles into bits

==========

Three stages: normalization, itemization, and minimization.

A further problem is to report the results.  The goal is a dependency

table that shows, for each Mizar "item", which Mizar items it depends

upon.

The ontology of items should be compatible with the standard Mizar

ontology of items.

Normalization

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At the end of normalization of an article of the MML, the normalized

article has the following properties:

* *There are no reserved variables.*

* *All toplevel non-theorem lemmas contain at least one local constant.*

	In other words, if a toplevel non-theorem lemma could be a theorem, it is rewritten as one.

* *Every definition block defines exactly one functor/predicate/notation, etc.*

* *For non-redefinition functor definitions, the existence and uniqueness conditions are justified by a single previous theorem.*

	A consequence is that if, in the original article, the existence or uniqueness condition is obvious, a "dummy" theorem must be created and cited as the justification.

* *Likewise, all properties of all constructors are justified by a single previous theorem.  (This holds even in the case where, in the original article, the existence or uniqueness condition is obvious.)*

	A consequence is that if, in the original article, the property is obvious, a "dummy" theorem must be created and cited as the justification.

Itemization

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Minimization

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Todo

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* Distinguish schemes from scheme instances.