### Abstract

We present a language intended to be a first step in approximating the language of mathematical papers, and a validator; that is, a program that checks the validity of arguments written in this language. The validator approximates the activity of a mathematician in certifying the structure and correctness of the mathematical argument. Both components together constitute a computer aided reasoning (CAR) system. Versions of the system, called MIZAR, have been in use for a decade for discrete mathematics instruction. We are concerned here with the features of the MIZAR language that that are used to diminish the gap between formal natural deduction and mathematical vernacular. The inference checking component of the validator can be easily changed. We demonstrate the influence on the way the expressive power of the language can be exploited by contrasting, for a fixed proposition, two proofs embodying the same idea but for which different checking modules have been used. The more powerful inference checker that we discuss incorporates the formalization of obviousness given by M. Davis.

Original language | English (US) |
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Title of host publication | Logics of Programs , Proceedings |

Editors | Rohit Parikh |

Publisher | Springer Verlag |

Pages | 406-412 |

Number of pages | 7 |

ISBN (Print) | 9783540156482 |

DOIs | |

State | Published - Jan 1 1985 |

Event | Conference on Logic of Programs, 1985 - Brooklyn, United States Duration: Jun 17 1985 → Jun 19 1985 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 193 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | Conference on Logic of Programs, 1985 |
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Country | United States |

City | Brooklyn |

Period | 6/17/85 → 6/19/85 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Logics of Programs , Proceedings*(pp. 406-412). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 193 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-15648-8_30