### Abstract

This paper presents a proof language based on the work of Sacerdoti Coen [1,2], Kirchner [3] and Autexier [4] on ̄μμ̃, a calculus introduced by Curien and Herbelin. [5,6] Just as ̄μμ̃ preserves several proof structures that are identified by the λ-calculus, the proof language presented here aims to preserve as much proof structure as reasonable; we call that property being logically saturated. This leads to several advantages when the language is used as a generic exchange language for proofs, as well as for other uses. We equip the calculus with a simple rendering in pseudo-natural language that aims to give people tools to read, understand and exchange terms of the language. We show how this rendering can, at the cost of some more complexity, be made to produce text that is more natural and idiomatic, or in the style of a declarative proof language like Isar or Mizar.

Original language | English |
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Title of host publication | Intelligent Computer Mathematics. CICM 2009 |

Publisher | Springer |

Pages | 405-421 |

Number of pages | 17 |

ISBN (Print) | 3642026133, 9783642026133 |

DOIs | |

Publication status | Published - 2009 |

### Publication series

Name | Lecture Notes in Computer Science |
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Volume | 5625 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Intelligent Computer Mathematics. CICM 2009*(pp. 405-421). (Lecture Notes in Computer Science; Vol. 5625). Springer. https://doi.org/10.1007/978-3-642-02614-0_32