# Jean-Yves Girard

Jean-Yves Girard | |
---|---|

Born |
1947 (age 68–69) |

Nationality | French |

Fields | Mathematics |

Institutions | CNRS |

Alma mater |
École normale supérieure de Saint-Cloud Paris Diderot University |

Doctoral advisor | Jean-Louis Krivine |

Doctoral students |
George Koletsos Yves Lafont Laurent Regnier |

**Jean-Yves Girard** (born 1947) is a French logician working in proof theory. He is the research director (emeritus) at the mathematical institute of Luminy.

He obtained the CNRS Silver medal in 1983 and is a member of the French Academy of Sciences.

## Biography

Jean-Yves Girard is an alumnus of the École normale supérieure de Saint-Cloud.

He made a name for himself in the 1970s with his proof of strong normalization in a system of second-order logic called System F. This result gave a new proof of Takeuti's conjecture, which was proven a few years earlier by William W. Tait, Moto-o Takahashi and Dag Prawitz. For this purpose, he introduced the notion of *reducibility candidate* ("candidat de réducibilité"). He is also credited with the discovery of linear logic; the geometry of interaction; ludics; and the mustard watch.^{[1]}

## Bibliography

- Ernest Nagel; James R. Newman; Kurt Gödel; Jean-Yves Girard (1989).
*Le théorème de Gödel*. Éditions du Seuil. - Jean-Yves Girard; P. Taylor; Yves Lafont (1989).
*Proofs and Types*. Cambridge University Press. - Jean-Yves Girard (2007).
*Le Point Aveugle, Cours de Logique*. Hermann.

## References

- ↑ Ringard, Yann-Joachim (1990). "Mustard watches: an integrated approach to time and food.". Retrieved 16 December 2014.

## External links

- Girard's home page
- Jean-Yves Girard at the Mathematics Genealogy Project
- Girard's bibliography (via DBLP)
- Journées Jean-Yves Girard web site of 2007 conference in honour of Girard's 60th birthday