Isabelle Import Infrastructure for the Mizar Mathematical Library

@inproceedings{Kaliszyk2018IsabelleII,
  title={Isabelle Import Infrastructure for the Mizar Mathematical Library},
  author={C. Kaliszyk and Karol Pak},
  booktitle={CICM},
  year={2018}
}
We present an infrastructure that allows importing an initial part of the Mizar Mathematical Library into the Isabelle/Mizar object logic. For this, we first combine the syntactic information provided by the Mizar parser with the syntactic one originating from the Mizar verifier. The proof outlines are then imported by an Isabelle package, that translates particular Mizar directives to appropriate Isabelle meta-logic constructions. This includes processing of definitions, notations, typing… 
3 Citations
Declarative Proof Translation
TLDR
This paper proposes efficient algorithms for declarative proof outline translation and demonstrates the practicality of these algorithms by automatically translating the proof outlines in 200 articles from the Mizar Mathematical Library to the Isabelle/Isar proof style.
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TLDR
This paper proposes a new XML-based format which combines both syntactic and semantic data and is intended to facilitate various applications of the Mizar library requiring fullest possible information to be retrieved from the formalization files.
An Experiment on Mizar Adjectives with Extra Visible Arguments
  • Adam Naumowicz
  • Mathematics
    2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)
  • 2020
TLDR
This paper presents the extended processing of adjectives with visible arguments in the Mizar system by presenting the results of a case study based on refactoring selected Mizar Mathematical Library theories.

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