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

Jean-Yves Girard
Born1947 (age 71–72)
Alma materÉcole normale supérieure de Saint-Cloud
Paris Diderot University
Scientific career
Doctoral advisorJean-Louis Krivine [fr]



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 Girard's paradox, linear logic; the geometry of interaction; ludics; and the mustard watch.[1]

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


  • 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.
  • Jean-Yves Girard (2016). Le fantôme de la transparence. Éditions Allia.


  1. ^ Ringard, Yann-Joachim (1990). "Mustard watches: an integrated approach to time and food". Retrieved 27 May 2018.

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