Thisvolumerepresents the proceedings ofthe Fourth International Conference onTypedLambdaCalculiandApplications, TLCA'99, heldinL'Aquila, on7-9 April1999. It contains25contributions. Fiftywere submitted, their overallqualitywas high, and selection was di?cult. The Programme Committee is very grateful toeveryonewhosubmittedapaper. Italsocontainstwopapersintroducingthe "demos"of"tlcasoftware", i. e. industrialproductsmakinguseoftypedlamb- calculi. Thetutorialson - DenotationalsemanticsbyThomasEhrhardandJohnLongley, and - IntersectiontypesbyMarioCoppoandMariangiolaDezaniarenotincluded inthisvolume. Theeditor wishestothankthemembersoftheProgrammeCommitteeand theOrganizingCommitteelisted, fortheir hard work andsupport, witha s- cial mention for Benedetto Intrigila. He also thanks Corrado Boh ] m for kindly acceptingthe taskofdeliveringabanquetspeech. Theeditor alsoexpresses hisgratitude to allthereferees listed on the next page, as wellas tothose whowishnotto belisted fortheiressential assistance andtimegenerouslygiven. Marseille, January1999 Jean-YvesGirard ProgrammeCommittee S. Abramsky(Edinburgh) T. Coquand(Got ] eborg) J. -Y. Girard(Marseille)(Chair) R. Hindley(Swansea) J. -L. Krivine(Paris) J. Reynolds(Pittsburgh) S. Ronchi(Torino) A. Scedrov(Philadelphia) T. Streicher(Darmstadt) M. Takahashi(T^ oky^ o) P. Urzyczyn(Warszawa) OrganizingCommittee F. Corradini, A. Formisano, B. Intrigila, (Chair), M. -C. Meo, M. Nesi, A. Pierantonio, I. Salvo, S. Sorgi (Dip. Matematica, L'AquilaandDip. Informatica, LaSapienza, Roma) Referees Y. Akama T. Altenkirch F. Barbanera H. Barendregt O. Bastonero S. Berardi A. Berarducci C. Berline V. Bono M. Bugliesi F. Cardone G. Castagna I. Cervesato G. Chen R. Cockett A. Compagnoni M. Coppo T. Crolard P. -L. Curien V. Danos R. Davies P. DeGroote U. DeLiguoro M. Dezani R. Dickho? H. Geuvers N. Ghani P. Giannini S. Guerrini B. Harper R. Hasegawa H. Herbelin M. Hofmann K. Honda R. Jagadeesan T. Jim Y. Kameyama M. Kanovich R. Kashima Y. Kinoshita T. Kurata Y. Lafont J. Laird F. Lamarche P. B. Levy C. McBride M. Marz R. Matthes P. -A. Mellies G. Mitschke H. Nickau S. Nishizaki M. Parigot C. Paulin F. Pfenning B.
Jean-Yves Girard (born 1947) is a French logician working in proof theory. His contributions include a proof of strong normalization in a system of second-order logic called system F; the invention of linear logic; the geometry of interaction; and ludics. He also invented the mustard watch.
Alumnus of the École normale supérieure de Saint-Cloud, Girard is a research director of CNRS in Marseille and a corresponding member of the French Academy of Sciences.