Jean-Yves Girard

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Jean-Yves Girard
Born1947 (age 75–76)
Lyon, France
Alma materÉcole normale supérieure de Saint-Cloud
Paris Diderot University
Known forGirard's paradox
Coherent space
Geometry of interaction
Linear logic
Proof net
System F
AwardsPoncelet Prize (1990)
CNRS Silver Medal (1983)
Scientific career
Doctoral advisorJean-Louis Krivine [fr]

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 the University of Aix-Marseille, at Luminy.


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, Motō 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 (satirically) 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 (2011). The Blind Spot: Lectures on Logic[2]
  • Jean-Yves Girard (2016). Le fantôme de la transparence. Éditions Allia.

See also[edit]


  1. ^ Ringard, Yann-Joachim (1990). "Mustard watches: an integrated approach to time and food". Retrieved 27 May 2018.{{cite web}}: CS1 maint: url-status (link)
  2. ^ Girard, Jean-Yves (2011). The blind spot : lectures on logic. Zürich, Switzerland: European Mathematical Society. ISBN 978-3-03719-088-3. OCLC 757486610.

External links[edit]