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+@String{jfp = "Journal of Functional Programming"}
+@String{lncs = "Lecture Notes in Computer Science"}
+@String{lnai = "Lecture Notes in Artificial Intelligence"}
+@String{SV = "{Sprin­ger-Verlag}"}
+
+@InProceedings{Aud91,
+ author = {Ph. Audebaud},
+ booktitle = {Proceedings of the sixth Conf. on Logic in Computer Science.},
+ publisher = {IEEE},
+ title = {Partial {Objects} in the {Calculus of Constructions}},
+ year = {1991}
+}
+
+@PhDThesis{Aud92,
+ author = {Ph. Audebaud},
+ school = {{Universit\'e} Bordeaux I},
+ title = {Extension du Calcul des Constructions par Points fixes},
+ year = {1992}
+}
+
+@InProceedings{Audebaud92b,
+ author = {Ph. Audebaud},
+ booktitle = {{Proceedings of the 1992 Workshop on Types for Proofs and Programs}},
+ editor = {{B. Nordstr\"om and K. Petersson and G. Plotkin}},
+ note = {Also Research Report LIP-ENS-Lyon},
+ pages = {21--34},
+ title = {{CC+ : an extension of the Calculus of Constructions with fixpoints}},
+ year = {1992}
+}
+
+@InProceedings{Augustsson85,
+ author = {L. Augustsson},
+ title = {{Compiling Pattern Matching}},
+ booktitle = {Conference Functional Programming and
+Computer Architecture},
+ year = {1985}
+}
+
+@Article{BaCo85,
+ author = {J.L. Bates and R.L. Constable},
+ journal = {ACM transactions on Programming Languages and Systems},
+ title = {Proofs as {Programs}},
+ volume = {7},
+ year = {1985}
+}
+
+@Book{Bar81,
+ author = {H.P. Barendregt},
+ publisher = {North-Holland},
+ title = {The Lambda Calculus its Syntax and Semantics},
+ year = {1981}
+}
+
+@TechReport{Bar91,
+ author = {H. Barendregt},
+ institution = {Catholic University Nijmegen},
+ note = {In Handbook of Logic in Computer Science, Vol II},
+ number = {91-19},
+ title = {Lambda {Calculi with Types}},
+ year = {1991}
+}
+
+@Article{BeKe92,
+ author = {G. Bellin and J. Ketonen},
+ journal = {Theoretical Computer Science},
+ pages = {115--142},
+ title = {A decision procedure revisited : Notes on direct logic, linear logic and its implementation},
+ volume = {95},
+ year = {1992}
+}
+
+@Book{Bee85,
+ author = {M.J. Beeson},
+ publisher = SV,
+ title = {Foundations of Constructive Mathematics, Metamathematical Studies},
+ year = {1985}
+}
+
+@Book{Bis67,
+ author = {E. Bishop},
+ publisher = {McGraw-Hill},
+ title = {Foundations of Constructive Analysis},
+ year = {1967}
+}
+
+@Book{BoMo79,
+ author = {R.S. Boyer and J.S. Moore},
+ key = {BoMo79},
+ publisher = {Academic Press},
+ series = {ACM Monograph},
+ title = {A computational logic},
+ year = {1979}
+}
+
+@MastersThesis{Bou92,
+ author = {S. Boutin},
+ month = sep,
+ school = {{Universit\'e Paris 7}},
+ title = {Certification d'un compilateur {ML en Coq}},
+ year = {1992}
+}
+
+@InProceedings{Bou97,
+ title = {Using reflection to build efficient and certified decision procedure
+s},
+ author = {S. Boutin},
+ booktitle = {TACS'97},
+ editor = {Martin Abadi and Takahashi Ito},
+ publisher = SV,
+ series = lncs,
+ volume = 1281,
+ year = {1997}
+}
+
+@PhDThesis{Bou97These,
+ author = {S. Boutin},
+ title = {R\'eflexions sur les quotients},
+ school = {Paris 7},
+ year = 1997,
+ type = {th\`ese d'Universit\'e},
+ month = apr
+}
+
+@Article{Bru72,
+ author = {N.J. de Bruijn},
+ journal = {Indag. Math.},
+ title = {{Lambda-Calculus Notation with Nameless Dummies, a Tool for Automatic Formula Manipulation, with Application to the Church-Rosser Theorem}},
+ volume = {34},
+ year = {1972}
+}
+
+
+@InCollection{Bru80,
+ author = {N.J. de Bruijn},
+ booktitle = {to H.B. Curry : Essays on Combinatory Logic, Lambda Calculus and Formalism.},
+ editor = {J.P. Seldin and J.R. Hindley},
+ publisher = {Academic Press},
+ title = {A survey of the project {Automath}},
+ year = {1980}
+}
+
+@TechReport{COQ93,
+ author = {G. Dowek and A. Felty and H. Herbelin and G. Huet and C. Murthy and C. Parent and C. Paulin-Mohring and B. Werner},
+ institution = {INRIA},
+ month = may,
+ number = {154},
+ title = {{The Coq Proof Assistant User's Guide Version 5.8}},
+ year = {1993}
+}
+
+@TechReport{COQ02,
+ author = {The Coq Development Team},
+ institution = {INRIA},
+ month = Feb,
+ number = {255},
+ title = {{The Coq Proof Assistant Reference Manual Version 7.2}},
+ year = {2002}
+}
+
+@TechReport{CPar93,
+ author = {C. Parent},
+ institution = {Ecole {Normale} {Sup\'erieure} de {Lyon}},
+ month = oct,
+ note = {Also in~\cite{Nijmegen93}},
+ number = {93-29},
+ title = {Developing certified programs in the system {Coq}- {The} {Program} tactic},
+ year = {1993}
+}
+
+@PhDThesis{CPar95,
+ author = {C. Parent},
+ school = {Ecole {Normale} {Sup\'erieure} de {Lyon}},
+ title = {{Synth\`ese de preuves de programmes dans le Calcul des Constructions Inductives}},
+ year = {1995}
+}
+
+@Book{Caml,
+ author = {P. Weis and X. Leroy},
+ publisher = {InterEditions},
+ title = {Le langage Caml},
+ year = {1993}
+}
+
+@InProceedings{ChiPotSimp03,
+ author = {Laurent Chicli and Lo\"{\i}c Pottier and Carlos Simpson},
+ title = {Mathematical Quotients and Quotient Types in Coq},
+ booktitle = {TYPES},
+ crossref = {DBLP:conf/types/2002},
+ year = {2002}
+}
+
+@TechReport{CoC89,
+ author = {Projet Formel},
+ institution = {INRIA},
+ number = {110},
+ title = {{The Calculus of Constructions. Documentation and user's guide, Version 4.10}},
+ year = {1989}
+}
+
+@InProceedings{CoHu85a,
+ author = {Th. Coquand and G. Huet},
+ address = {Linz},
+ booktitle = {EUROCAL'85},
+ publisher = SV,
+ series = LNCS,
+ title = {{Constructions : A Higher Order Proof System for Mechanizing Mathematics}},
+ volume = {203},
+ year = {1985}
+}
+
+@InProceedings{CoHu85b,
+ author = {Th. Coquand and G. Huet},
+ booktitle = {Logic Colloquium'85},
+ editor = {The Paris Logic Group},
+ publisher = {North-Holland},
+ title = {{Concepts Math\'ematiques et Informatiques formalis\'es dans le Calcul des Constructions}},
+ year = {1987}
+}
+
+@Article{CoHu86,
+ author = {Th. Coquand and G. Huet},
+ journal = {Information and Computation},
+ number = {2/3},
+ title = {The {Calculus of Constructions}},
+ volume = {76},
+ year = {1988}
+}
+
+@InProceedings{CoPa89,
+ author = {Th. Coquand and C. Paulin-Mohring},
+ booktitle = {Proceedings of Colog'88},
+ editor = {P. Martin-L\"of and G. Mints},
+ publisher = SV,
+ series = LNCS,
+ title = {Inductively defined types},
+ volume = {417},
+ year = {1990}
+}
+
+@Book{Con86,
+ author = {R.L. {Constable et al.}},
+ publisher = {Prentice-Hall},
+ title = {{Implementing Mathematics with the Nuprl Proof Development System}},
+ year = {1986}
+}
+
+@PhDThesis{Coq85,
+ author = {Th. Coquand},
+ month = jan,
+ school = {Universit\'e Paris~7},
+ title = {Une Th\'eorie des Constructions},
+ year = {1985}
+}
+
+@InProceedings{Coq86,
+ author = {Th. Coquand},
+ address = {Cambridge, MA},
+ booktitle = {Symposium on Logic in Computer Science},
+ publisher = {IEEE Computer Society Press},
+ title = {{An Analysis of Girard's Paradox}},
+ year = {1986}
+}
+
+@InProceedings{Coq90,
+ author = {Th. Coquand},
+ booktitle = {Logic and Computer Science},
+ editor = {P. Oddifredi},
+ note = {INRIA Research Report 1088, also in~\cite{CoC89}},
+ publisher = {Academic Press},
+ title = {{Metamathematical Investigations of a Calculus of Constructions}},
+ year = {1990}
+}
+
+@InProceedings{Coq91,
+ author = {Th. Coquand},
+ booktitle = {Proceedings 9th Int. Congress of Logic, Methodology and Philosophy of Science},
+ title = {{A New Paradox in Type Theory}},
+ month = {August},
+ year = {1991}
+}
+
+@InProceedings{Coq92,
+ author = {Th. Coquand},
+ title = {{Pattern Matching with Dependent Types}},
+ year = {1992},
+ crossref = {Bastad92}
+}
+
+@InProceedings{Coquand93,
+ author = {Th. Coquand},
+ title = {{Infinite Objects in Type Theory}},
+ year = {1993},
+ crossref = {Nijmegen93}
+}
+
+@inproceedings{Corbineau08types,
+ author = {P. Corbineau},
+ title = {A Declarative Language for the Coq Proof Assistant},
+ editor = {M. Miculan and I. Scagnetto and F. Honsell},
+ booktitle = {TYPES '07, Cividale del Friuli, Revised Selected Papers},
+ publisher = {Springer},
+ series = LNCS,
+ volume = {4941},
+ year = {2007},
+ pages = {69-84},
+ ee = {http://dx.doi.org/10.1007/978-3-540-68103-8_5},
+}
+
+@PhDThesis{Cor97,
+ author = {C. Cornes},
+ month = nov,
+ school = {{Universit\'e Paris 7}},
+ title = {Conception d'un langage de haut niveau de représentation de preuves},
+ type = {Th\`ese de Doctorat},
+ year = {1997}
+}
+
+@MastersThesis{Cou94a,
+ author = {J. Courant},
+ month = sep,
+ school = {DEA d'Informatique, ENS Lyon},
+ title = {Explicitation de preuves par r\'ecurrence implicite},
+ year = {1994}
+}
+
+@InProceedings{Del99,
+ author = {Delahaye, D.},
+ title = {Information Retrieval in a Coq Proof Library using
+ Type Isomorphisms},
+ booktitle = {Proceedings of TYPES '99, L\"okeberg},
+ publisher = SV,
+ series = lncs,
+ year = {1999},
+ url =
+ "\\{\sf ftp://ftp.inria.fr/INRIA/Projects/coq/David.Delahaye/papers/}"#
+ "{\sf TYPES99-SIsos.ps.gz}"
+}
+
+@InProceedings{Del00,
+ author = {Delahaye, D.},
+ title = {A {T}actic {L}anguage for the {S}ystem {{\sf Coq}}},
+ booktitle = {Proceedings of Logic for Programming and Automated Reasoning
+ (LPAR), Reunion Island},
+ publisher = SV,
+ series = LNCS,
+ volume = {1955},
+ pages = {85--95},
+ month = {November},
+ year = {2000},
+ url =
+ "{\sf ftp://ftp.inria.fr/INRIA/Projects/coq/David.Delahaye/papers/}"#
+ "{\sf LPAR2000-ltac.ps.gz}"
+}
+
+@InProceedings{DelMay01,
+ author = {Delahaye, D. and Mayero, M.},
+ title = {{\tt Field}: une proc\'edure de d\'ecision pour les nombres r\'eels en {\Coq}},
+ booktitle = {Journ\'ees Francophones des Langages Applicatifs, Pontarlier},
+ publisher = {INRIA},
+ month = {Janvier},
+ year = {2001},
+ url =
+ "\\{\sf ftp://ftp.inria.fr/INRIA/Projects/coq/David.Delahaye/papers/}"#
+ "{\sf JFLA2000-Field.ps.gz}"
+}
+
+@TechReport{Dow90,
+ author = {G. Dowek},
+ institution = {INRIA},
+ number = {1283},
+ title = {Naming and Scoping in a Mathematical Vernacular},
+ type = {Research Report},
+ year = {1990}
+}
+
+@Article{Dow91a,
+ author = {G. Dowek},
+ journal = {Compte-Rendus de l'Acad\'emie des Sciences},
+ note = {The undecidability of Third Order Pattern Matching in Calculi with Dependent Types or Type Constructors},
+ number = {12},
+ pages = {951--956},
+ title = {L'Ind\'ecidabilit\'e du Filtrage du Troisi\`eme Ordre dans les Calculs avec Types D\'ependants ou Constructeurs de Types},
+ volume = {I, 312},
+ year = {1991}
+}
+
+@InProceedings{Dow91b,
+ author = {G. Dowek},
+ booktitle = {Proceedings of Mathematical Foundation of Computer Science},
+ note = {Also INRIA Research Report},
+ pages = {151--160},
+ publisher = SV,
+ series = LNCS,
+ title = {A Second Order Pattern Matching Algorithm in the Cube of Typed $\lambda$-calculi},
+ volume = {520},
+ year = {1991}
+}
+
+@PhDThesis{Dow91c,
+ author = {G. Dowek},
+ month = dec,
+ school = {Universit\'e Paris 7},
+ title = {D\'emonstration automatique dans le Calcul des Constructions},
+ year = {1991}
+}
+
+@Article{Dow92a,
+ author = {G. Dowek},
+ title = {The Undecidability of Pattern Matching in Calculi where Primitive Recursive Functions are Representable},
+ year = 1993,
+ journal = tcs,
+ volume = 107,
+ number = 2,
+ pages = {349-356}
+}
+
+@Article{Dow94a,
+ author = {G. Dowek},
+ journal = {Annals of Pure and Applied Logic},
+ volume = {69},
+ pages = {135--155},
+ title = {Third order matching is decidable},
+ year = {1994}
+}
+
+@InProceedings{Dow94b,
+ author = {G. Dowek},
+ booktitle = {Proceedings of the second international conference on typed lambda calculus and applications},
+ title = {Lambda-calculus, Combinators and the Comprehension Schema},
+ year = {1995}
+}
+
+@InProceedings{Dyb91,
+ author = {P. Dybjer},
+ booktitle = {Logical Frameworks},
+ editor = {G. Huet and G. Plotkin},
+ pages = {59--79},
+ publisher = {Cambridge University Press},
+ title = {Inductive sets and families in {Martin-Löf's}
+ Type Theory and their set-theoretic semantics: An inversion principle for {Martin-L\"of's} type theory},
+ volume = {14},
+ year = {1991}
+}
+
+@Article{Dyc92,
+ author = {Roy Dyckhoff},
+ journal = {The Journal of Symbolic Logic},
+ month = sep,
+ number = {3},
+ title = {Contraction-free sequent calculi for intuitionistic logic},
+ volume = {57},
+ year = {1992}
+}
+
+@MastersThesis{Fil94,
+ author = {J.-C. Filli\^atre},
+ month = sep,
+ school = {DEA d'Informatique, ENS Lyon},
+ title = {Une proc\'edure de d\'ecision pour le Calcul des Pr\'edicats Direct. Étude et impl\'ementation dans le syst\`eme {\Coq}},
+ year = {1994}
+}
+
+@TechReport{Filliatre95,
+ author = {J.-C. Filli\^atre},
+ institution = {LIP-ENS-Lyon},
+ title = {A decision procedure for Direct Predicate Calculus},
+ type = {Research report},
+ number = {96--25},
+ year = {1995}
+}
+
+@Article{Filliatre03jfp,
+ author = {J.-C. Filliâtre},
+ title = {Verification of Non-Functional Programs
+ using Interpretations in Type Theory},
+ journal = jfp,
+ volume = 13,
+ number = 4,
+ pages = {709--745},
+ month = jul,
+ year = 2003,
+ note = {[English translation of \cite{Filliatre99}]},
+ url = {http://www.lri.fr/~filliatr/ftp/publis/jphd.ps.gz},
+ topics = {team, lri},
+ type_publi = {irevcomlec}
+}
+
+@PhDThesis{Filliatre99,
+ author = {J.-C. Filli\^atre},
+ title = {Preuve de programmes imp\'eratifs en th\'eorie des types},
+ type = {Thèse de Doctorat},
+ school = {Universit\'e Paris-Sud},
+ year = 1999,
+ month = {July},
+ url = {\url{http://www.lri.fr/~filliatr/ftp/publis/these.ps.gz}}
+}
+
+@Unpublished{Filliatre99c,
+ author = {J.-C. Filli\^atre},
+ title = {{Formal Proof of a Program: Find}},
+ month = {January},
+ year = 2000,
+ note = {Submitted to \emph{Science of Computer Programming}},
+ url = {\url{http://www.lri.fr/~filliatr/ftp/publis/find.ps.gz}}
+}
+
+@InProceedings{FilliatreMagaud99,
+ author = {J.-C. Filli\^atre and N. Magaud},
+ title = {Certification of sorting algorithms in the system {\Coq}},
+ booktitle = {Theorem Proving in Higher Order Logics:
+ Emerging Trends},
+ year = 1999,
+ url = {\url{http://www.lri.fr/~filliatr/ftp/publis/Filliatre-Magaud.ps.gz}}
+}
+
+@Unpublished{Fle90,
+ author = {E. Fleury},
+ month = jul,
+ note = {Rapport de Stage},
+ title = {Implantation des algorithmes de {Floyd et de Dijkstra} dans le {Calcul des Constructions}},
+ year = {1990}
+}
+
+@Book{Fourier,
+ author = {Jean-Baptiste-Joseph Fourier},
+ publisher = {Gauthier-Villars},
+ title = {Fourier's method to solve linear
+ inequations/equations systems.},
+ year = {1890}
+}
+
+@InProceedings{Gim94,
+ author = {E. Gim\'enez},
+ booktitle = {Types'94 : Types for Proofs and Programs},
+ note = {Extended version in LIP research report 95-07, ENS Lyon},
+ publisher = SV,
+ series = LNCS,
+ title = {Codifying guarded definitions with recursive schemes},
+ volume = {996},
+ year = {1994}
+}
+
+@TechReport{Gim98,
+ author = {E. Gim\'enez},
+ title = {A Tutorial on Recursive Types in Coq},
+ institution = {INRIA},
+ year = 1998,
+ month = mar
+}
+
+@Unpublished{GimCas05,
+ author = {E. Gim\'enez and P. Cast\'eran},
+ title = {A Tutorial on [Co-]Inductive Types in Coq},
+ institution = {INRIA},
+ year = 2005,
+ month = jan,
+ note = {available at \url{http://coq.inria.fr/doc}}
+}
+
+@InProceedings{Gimenez95b,
+ author = {E. Gim\'enez},
+ booktitle = {Workshop on Types for Proofs and Programs},
+ series = LNCS,
+ number = {1158},
+ pages = {135-152},
+ title = {An application of co-Inductive types in Coq:
+ verification of the Alternating Bit Protocol},
+ editorS = {S. Berardi and M. Coppo},
+ publisher = SV,
+ year = {1995}
+}
+
+@InProceedings{Gir70,
+ author = {J.-Y. Girard},
+ booktitle = {Proceedings of the 2nd Scandinavian Logic Symposium},
+ publisher = {North-Holland},
+ title = {Une extension de l'interpr\'etation de {G\"odel} \`a l'analyse, et son application \`a l'\'elimination des coupures dans l'analyse et la th\'eorie des types},
+ year = {1970}
+}
+
+@PhDThesis{Gir72,
+ author = {J.-Y. Girard},
+ school = {Universit\'e Paris~7},
+ title = {Interpr\'etation fonctionnelle et \'elimination des coupures de l'arithm\'etique d'ordre sup\'erieur},
+ year = {1972}
+}
+
+@Book{Gir89,
+ author = {J.-Y. Girard and Y. Lafont and P. Taylor},
+ publisher = {Cambridge University Press},
+ series = {Cambridge Tracts in Theoretical Computer Science 7},
+ title = {Proofs and Types},
+ year = {1989}
+}
+
+@TechReport{Har95,
+ author = {John Harrison},
+ title = {Metatheory and Reflection in Theorem Proving: A Survey and Critique},
+ institution = {SRI International Cambridge Computer Science Research Centre,},
+ year = 1995,
+ type = {Technical Report},
+ number = {CRC-053},
+ abstract = {http://www.cl.cam.ac.uk/users/jrh/papers.html}
+}
+
+@MastersThesis{Hir94,
+ author = {D. Hirschkoff},
+ month = sep,
+ school = {DEA IARFA, Ecole des Ponts et Chauss\'ees, Paris},
+ title = {Écriture d'une tactique arithm\'etique pour le syst\`eme {\Coq}},
+ year = {1994}
+}
+
+@InProceedings{HofStr98,
+ author = {Martin Hofmann and Thomas Streicher},
+ title = {The groupoid interpretation of type theory},
+ booktitle = {Proceedings of the meeting Twenty-five years of constructive type theory},
+ publisher = {Oxford University Press},
+ year = {1998}
+}
+
+@InCollection{How80,
+ author = {W.A. Howard},
+ booktitle = {to H.B. Curry : Essays on Combinatory Logic, Lambda Calculus and Formalism.},
+ editor = {J.P. Seldin and J.R. Hindley},
+ note = {Unpublished 1969 Manuscript},
+ publisher = {Academic Press},
+ title = {The Formulae-as-Types Notion of Constructions},
+ year = {1980}
+}
+
+@InProceedings{Hue87tapsoft,
+ author = {G. Huet},
+ title = {Programming of Future Generation Computers},
+ booktitle = {Proceedings of TAPSOFT87},
+ series = LNCS,
+ volume = 249,
+ pages = {276--286},
+ year = 1987,
+ publisher = SV
+}
+
+@InProceedings{Hue87,
+ author = {G. Huet},
+ booktitle = {Programming of Future Generation Computers},
+ editor = {K. Fuchi and M. Nivat},
+ note = {Also in \cite{Hue87tapsoft}},
+ publisher = {Elsevier Science},
+ title = {Induction Principles Formalized in the {Calculus of Constructions}},
+ year = {1988}
+}
+
+@InProceedings{Hue88,
+ author = {G. Huet},
+ booktitle = {A perspective in Theoretical Computer Science. Commemorative Volume for Gift Siromoney},
+ editor = {R. Narasimhan},
+ note = {Also in~\cite{CoC89}},
+ publisher = {World Scientific Publishing},
+ title = {{The Constructive Engine}},
+ year = {1989}
+}
+
+@Book{Hue89,
+ editor = {G. Huet},
+ publisher = {Addison-Wesley},
+ series = {The UT Year of Programming Series},
+ title = {Logical Foundations of Functional Programming},
+ year = {1989}
+}
+
+@InProceedings{Hue92,
+ author = {G. Huet},
+ booktitle = {Proceedings of 12th FST/TCS Conference, New Delhi},
+ pages = {229--240},
+ publisher = SV,
+ series = LNCS,
+ title = {The Gallina Specification Language : A case study},
+ volume = {652},
+ year = {1992}
+}
+
+@Article{Hue94,
+ author = {G. Huet},
+ journal = {J. Functional Programming},
+ pages = {371--394},
+ publisher = {Cambridge University Press},
+ title = {Residual theory in $\lambda$-calculus: a formal development},
+ volume = {4,3},
+ year = {1994}
+}
+
+@InCollection{HuetLevy79,
+ author = {G. Huet and J.-J. L\'{e}vy},
+ title = {Call by Need Computations in Non-Ambigous
+Linear Term Rewriting Systems},
+ note = {Also research report 359, INRIA, 1979},
+ booktitle = {Computational Logic, Essays in Honor of
+Alan Robinson},
+ editor = {J.-L. Lassez and G. Plotkin},
+ publisher = {The MIT press},
+ year = {1991}
+}
+
+@Article{KeWe84,
+ author = {J. Ketonen and R. Weyhrauch},
+ journal = {Theoretical Computer Science},
+ pages = {297--307},
+ title = {A decidable fragment of {P}redicate {C}alculus},
+ volume = {32},
+ year = {1984}
+}
+
+@Book{Kle52,
+ author = {S.C. Kleene},
+ publisher = {North-Holland},
+ series = {Bibliotheca Mathematica},
+ title = {Introduction to Metamathematics},
+ year = {1952}
+}
+
+@Book{Kri90,
+ author = {J.-L. Krivine},
+ publisher = {Masson},
+ series = {Etudes et recherche en informatique},
+ title = {Lambda-calcul {types et mod\`eles}},
+ year = {1990}
+}
+
+@Book{LE92,
+ editor = {G. Huet and G. Plotkin},
+ publisher = {Cambridge University Press},
+ title = {Logical Environments},
+ year = {1992}
+}
+
+@Book{LF91,
+ editor = {G. Huet and G. Plotkin},
+ publisher = {Cambridge University Press},
+ title = {Logical Frameworks},
+ year = {1991}
+}
+
+@Article{Laville91,
+ author = {A. Laville},
+ title = {Comparison of Priority Rules in Pattern
+Matching and Term Rewriting},
+ journal = {Journal of Symbolic Computation},
+ volume = {11},
+ pages = {321--347},
+ year = {1991}
+}
+
+@InProceedings{LePa94,
+ author = {F. Leclerc and C. Paulin-Mohring},
+ booktitle = {{Types for Proofs and Programs, Types' 93}},
+ editor = {H. Barendregt and T. Nipkow},
+ publisher = SV,
+ series = {LNCS},
+ title = {{Programming with Streams in Coq. A case study : The Sieve of Eratosthenes}},
+ volume = {806},
+ year = {1994}
+}
+
+@TechReport{Leroy90,
+ author = {X. Leroy},
+ title = {The {ZINC} experiment: an economical implementation
+of the {ML} language},
+ institution = {INRIA},
+ number = {117},
+ year = {1990}
+}
+
+@InProceedings{Let02,
+ author = {P. Letouzey},
+ title = {A New Extraction for Coq},
+ booktitle = {TYPES},
+ year = 2002,
+ crossref = {DBLP:conf/types/2002},
+ url = {draft at \url{http://www.pps.jussieu.fr/~letouzey/download/extraction2002.ps.gz}}
+}
+
+@PhDThesis{Luo90,
+ author = {Z. Luo},
+ title = {An Extended Calculus of Constructions},
+ school = {University of Edinburgh},
+ year = {1990}
+}
+
+@Book{MaL84,
+ author = {{P. Martin-L\"of}},
+ publisher = {Bibliopolis},
+ series = {Studies in Proof Theory},
+ title = {Intuitionistic Type Theory},
+ year = {1984}
+}
+
+@Article{MaSi94,
+ author = {P. Manoury and M. Simonot},
+ title = {Automatizing Termination Proofs of Recursively Defined Functions.},
+ journal = {TCS},
+ volume = {135},
+ number = {2},
+ year = {1994},
+ pages = {319-343},
+}
+
+@InProceedings{Miquel00,
+ author = {A. Miquel},
+ title = {A Model for Impredicative Type Systems with Universes,
+Intersection Types and Subtyping},
+ booktitle = {{Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science (LICS'00)}},
+ publisher = {IEEE Computer Society Press},
+ year = {2000}
+}
+
+@PhDThesis{Miquel01a,
+ author = {A. Miquel},
+ title = {Le Calcul des Constructions implicite: syntaxe et s\'emantique},
+ month = {dec},
+ school = {{Universit\'e Paris 7}},
+ year = {2001}
+}
+
+@InProceedings{Miquel01b,
+ author = {A. Miquel},
+ title = {The Implicit Calculus of Constructions: Extending Pure Type Systems with an Intersection Type Binder and Subtyping},
+ booktitle = {{Proceedings of the fifth International Conference on Typed Lambda Calculi and Applications (TLCA01), Krakow, Poland}},
+ publisher = SV,
+ series = {LNCS},
+ number = 2044,
+ year = {2001}
+}
+
+@InProceedings{MiWer02,
+ author = {A. Miquel and B. Werner},
+ title = {The Not So Simple Proof-Irrelevant Model of CC},
+ booktitle = {TYPES},
+ year = {2002},
+ pages = {240-258},
+ ee = {http://link.springer.de/link/service/series/0558/bibs/2646/26460240.htm},
+ crossref = {DBLP:conf/types/2002},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@proceedings{DBLP:conf/types/2002,
+ editor = {H. Geuvers and F. Wiedijk},
+ title = {Types for Proofs and Programs, Second International Workshop,
+ TYPES 2002, Berg en Dal, The Netherlands, April 24-28, 2002,
+ Selected Papers},
+ booktitle = {TYPES},
+ publisher = SV,
+ series = LNCS,
+ volume = {2646},
+ year = {2003},
+ isbn = {3-540-14031-X},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@InProceedings{Moh89a,
+ author = {C. Paulin-Mohring},
+ address = {Austin},
+ booktitle = {Sixteenth Annual ACM Symposium on Principles of Programming Languages},
+ month = jan,
+ publisher = {ACM},
+ title = {Extracting ${F}_{\omega}$'s programs from proofs in the {Calculus of Constructions}},
+ year = {1989}
+}
+
+@PhDThesis{Moh89b,
+ author = {C. Paulin-Mohring},
+ month = jan,
+ school = {{Universit\'e Paris 7}},
+ title = {Extraction de programmes dans le {Calcul des Constructions}},
+ year = {1989}
+}
+
+@InProceedings{Moh93,
+ author = {C. Paulin-Mohring},
+ booktitle = {Proceedings of the conference Typed Lambda Calculi and Applications},
+ editor = {M. Bezem and J.-F. Groote},
+ note = {Also LIP research report 92-49, ENS Lyon},
+ number = {664},
+ publisher = SV,
+ series = {LNCS},
+ title = {{Inductive Definitions in the System Coq - Rules and Properties}},
+ year = {1993}
+}
+
+@Book{Moh97,
+ author = {C. Paulin-Mohring},
+ month = jan,
+ publisher = {{ENS Lyon}},
+ title = {{Le syst\`eme Coq. \mbox{Th\`ese d'habilitation}}},
+ year = {1997}
+}
+
+@MastersThesis{Mun94,
+ author = {C. Muñoz},
+ month = sep,
+ school = {DEA d'Informatique Fondamentale, Universit\'e Paris 7},
+ title = {D\'emonstration automatique dans la logique propositionnelle intuitionniste},
+ year = {1994}
+}
+
+@PhDThesis{Mun97d,
+ author = {C. Mu{\~{n}}oz},
+ title = {Un calcul de substitutions pour la repr\'esentation
+ de preuves partielles en th\'eorie de types},
+ school = {Universit\'e Paris 7},
+ year = {1997},
+ note = {Version en anglais disponible comme rapport de
+ recherche INRIA RR-3309},
+ type = {Th\`ese de Doctorat}
+}
+
+@Book{NoPS90,
+ author = {B. {Nordstr\"om} and K. Peterson and J. Smith},
+ booktitle = {Information Processing 83},
+ publisher = {Oxford Science Publications},
+ series = {International Series of Monographs on Computer Science},
+ title = {Programming in {Martin-L\"of's} Type Theory},
+ year = {1990}
+}
+
+@Article{Nor88,
+ author = {B. {Nordstr\"om}},
+ journal = {BIT},
+ title = {Terminating General Recursion},
+ volume = {28},
+ year = {1988}
+}
+
+@Book{Odi90,
+ editor = {P. Odifreddi},
+ publisher = {Academic Press},
+ title = {Logic and Computer Science},
+ year = {1990}
+}
+
+@InProceedings{PaMS92,
+ author = {M. Parigot and P. Manoury and M. Simonot},
+ address = {St. Petersburg, Russia},
+ booktitle = {Logic Programming and automated reasoning},
+ editor = {A. Voronkov},
+ month = jul,
+ number = {624},
+ publisher = SV,
+ series = {LNCS},
+ title = {{ProPre : A Programming language with proofs}},
+ year = {1992}
+}
+
+@Article{PaWe92,
+ author = {C. Paulin-Mohring and B. Werner},
+ journal = {Journal of Symbolic Computation},
+ pages = {607--640},
+ title = {{Synthesis of ML programs in the system Coq}},
+ volume = {15},
+ year = {1993}
+}
+
+@Article{Par92,
+ author = {M. Parigot},
+ journal = {Theoretical Computer Science},
+ number = {2},
+ pages = {335--356},
+ title = {{Recursive Programming with Proofs}},
+ volume = {94},
+ year = {1992}
+}
+
+@InProceedings{Parent95b,
+ author = {C. Parent},
+ booktitle = {{Mathematics of Program Construction'95}},
+ publisher = SV,
+ series = {LNCS},
+ title = {{Synthesizing proofs from programs in
+the Calculus of Inductive Constructions}},
+ volume = {947},
+ year = {1995}
+}
+
+@InProceedings{Prasad93,
+ author = {K.V. Prasad},
+ booktitle = {{Proceedings of CONCUR'93}},
+ publisher = SV,
+ series = {LNCS},
+ title = {{Programming with broadcasts}},
+ volume = {715},
+ year = {1993}
+}
+
+@Book{RC95,
+ author = {di~Cosmo, R.},
+ title = {Isomorphisms of Types: from $\lambda$-calculus to information
+ retrieval and language design},
+ series = {Progress in Theoretical Computer Science},
+ publisher = {Birkhauser},
+ year = {1995},
+ note = {ISBN-0-8176-3763-X}
+}
+
+@TechReport{Rou92,
+ author = {J. Rouyer},
+ institution = {INRIA},
+ month = nov,
+ number = {1795},
+ title = {{Développement de l'Algorithme d'Unification dans le Calcul des Constructions}},
+ year = {1992}
+}
+
+@Article{Rushby98,
+ title = {Subtypes for Specifications: Predicate Subtyping in
+ {PVS}},
+ author = {John Rushby and Sam Owre and N. Shankar},
+ journal = {IEEE Transactions on Software Engineering},
+ pages = {709--720},
+ volume = 24,
+ number = 9,
+ month = sep,
+ year = 1998
+}
+
+@TechReport{Saibi94,
+ author = {A. Sa\"{\i}bi},
+ institution = {INRIA},
+ month = dec,
+ number = {2345},
+ title = {{Axiomatization of a lambda-calculus with explicit-substitutions in the Coq System}},
+ year = {1994}
+}
+
+
+@MastersThesis{Ter92,
+ author = {D. Terrasse},
+ month = sep,
+ school = {IARFA},
+ title = {{Traduction de TYPOL en COQ. Application \`a Mini ML}},
+ year = {1992}
+}
+
+@TechReport{ThBeKa92,
+ author = {L. Th\'ery and Y. Bertot and G. Kahn},
+ institution = {INRIA Sophia},
+ month = may,
+ number = {1684},
+ title = {Real theorem provers deserve real user-interfaces},
+ type = {Research Report},
+ year = {1992}
+}
+
+@Book{TrDa89,
+ author = {A.S. Troelstra and D. van Dalen},
+ publisher = {North-Holland},
+ series = {Studies in Logic and the foundations of Mathematics, volumes 121 and 123},
+ title = {Constructivism in Mathematics, an introduction},
+ year = {1988}
+}
+
+@PhDThesis{Wer94,
+ author = {B. Werner},
+ school = {Universit\'e Paris 7},
+ title = {Une th\'eorie des constructions inductives},
+ type = {Th\`ese de Doctorat},
+ year = {1994}
+}
+
+@PhDThesis{Bar99,
+ author = {B. Barras},
+ school = {Universit\'e Paris 7},
+ title = {Auto-validation d'un système de preuves avec familles inductives},
+ type = {Th\`ese de Doctorat},
+ year = {1999}
+}
+
+@Unpublished{ddr98,
+ author = {D. de Rauglaudre},
+ title = {Camlp4 version 1.07.2},
+ year = {1998},
+ note = {In Camlp4 distribution}
+}
+
+@Article{dowek93,
+ author = {G. Dowek},
+ title = {{A Complete Proof Synthesis Method for the Cube of Type Systems}},
+ journal = {Journal Logic Computation},
+ volume = {3},
+ number = {3},
+ pages = {287--315},
+ month = {June},
+ year = {1993}
+}
+
+@InProceedings{manoury94,
+ author = {P. Manoury},
+ title = {{A User's Friendly Syntax to Define
+Recursive Functions as Typed $\lambda-$Terms}},
+ booktitle = {{Types for Proofs and Programs, TYPES'94}},
+ series = {LNCS},
+ volume = {996},
+ month = jun,
+ year = {1994}
+}
+
+@TechReport{maranget94,
+ author = {L. Maranget},
+ institution = {INRIA},
+ number = {2385},
+ title = {{Two Techniques for Compiling Lazy Pattern Matching}},
+ year = {1994}
+}
+
+@InProceedings{puel-suarez90,
+ author = {L.Puel and A. Su\'arez},
+ booktitle = {{Conference Lisp and Functional Programming}},
+ series = {ACM},
+ publisher = SV,
+ title = {{Compiling Pattern Matching by Term
+Decomposition}},
+ year = {1990}
+}
+
+@MastersThesis{saidi94,
+ author = {H. Saidi},
+ month = sep,
+ school = {DEA d'Informatique Fondamentale, Universit\'e Paris 7},
+ title = {R\'esolution d'\'equations dans le syst\`eme T
+ de G\"odel},
+ year = {1994}
+}
+
+@inproceedings{sozeau06,
+ author = {Matthieu Sozeau},
+ title = {Subset Coercions in {C}oq},
+ year = {2007},
+ booktitle = {TYPES'06},
+ pages = {237-252},
+ volume = {4502},
+ publisher = "Springer",
+ series = {LNCS}
+}
+
+@inproceedings{sozeau08,
+ Author = {Matthieu Sozeau and Nicolas Oury},
+ booktitle = {TPHOLs'08},
+ Pdf = {http://www.lri.fr/~sozeau/research/publications/drafts/classes.pdf},
+ Title = {{F}irst-{C}lass {T}ype {C}lasses},
+ Year = {2008},
+}
+
+@Misc{streicher93semantical,
+ author = {T. Streicher},
+ title = {Semantical Investigations into Intensional Type Theory},
+ note = {Habilitationsschrift, LMU Munchen.},
+ year = {1993}
+}
+
+@Misc{Pcoq,
+ author = {Lemme Team},
+ title = {Pcoq a graphical user-interface for {Coq}},
+ note = {\url{http://www-sop.inria.fr/lemme/pcoq/}}
+}
+
+@Misc{ProofGeneral,
+ author = {David Aspinall},
+ title = {Proof General},
+ note = {\url{http://proofgeneral.inf.ed.ac.uk/}}
+}
+
+@Book{CoqArt,
+ title = {Interactive Theorem Proving and Program Development.
+ Coq'Art: The Calculus of Inductive Constructions},
+ author = {Yves Bertot and Pierre Castéran},
+ publisher = {Springer Verlag},
+ series = {Texts in Theoretical Computer Science. An EATCS series},
+ year = 2004
+}
+
+@InCollection{wadler87,
+ author = {P. Wadler},
+ title = {Efficient Compilation of Pattern Matching},
+ booktitle = {The Implementation of Functional Programming
+Languages},
+ editor = {S.L. Peyton Jones},
+ publisher = {Prentice-Hall},
+ year = {1987}
+}
+
+@inproceedings{DBLP:conf/types/CornesT95,
+ author = {Cristina Cornes and
+ Delphine Terrasse},
+ title = {Automating Inversion of Inductive Predicates in Coq},
+ booktitle = {TYPES},
+ year = {1995},
+ pages = {85-104},
+ crossref = {DBLP:conf/types/1995},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@proceedings{DBLP:conf/types/1995,
+ editor = {Stefano Berardi and
+ Mario Coppo},
+ title = {Types for Proofs and Programs, International Workshop TYPES'95,
+ Torino, Italy, June 5-8, 1995, Selected Papers},
+ booktitle = {TYPES},
+ publisher = {Springer},
+ series = {Lecture Notes in Computer Science},
+ volume = {1158},
+ year = {1996},
+ isbn = {3-540-61780-9},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@inproceedings{DBLP:conf/types/McBride00,
+ author = {Conor McBride},
+ title = {Elimination with a Motive},
+ booktitle = {TYPES},
+ year = {2000},
+ pages = {197-216},
+ ee = {http://link.springer.de/link/service/series/0558/bibs/2277/22770197.htm},
+ crossref = {DBLP:conf/types/2000},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@proceedings{DBLP:conf/types/2000,
+ editor = {Paul Callaghan and
+ Zhaohui Luo and
+ James McKinna and
+ Robert Pollack},
+ title = {Types for Proofs and Programs, International Workshop, TYPES
+ 2000, Durham, UK, December 8-12, 2000, Selected Papers},
+ booktitle = {TYPES},
+ publisher = {Springer},
+ series = {Lecture Notes in Computer Science},
+ volume = {2277},
+ year = {2002},
+ isbn = {3-540-43287-6},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@INPROCEEDINGS{sugar,
+ author = {Alessandro Giovini and Teo Mora and Gianfranco Niesi and Lorenzo Robbiano and Carlo Traverso},
+ title = {"One sugar cube, please" or Selection strategies in the Buchberger algorithm},
+ booktitle = { Proceedings of the ISSAC'91, ACM Press},
+ year = {1991},
+ pages = {5--4},
+ publisher = {}
+}
+
+@Comment{cross-references, must be at end}
+
+@Book{Bastad92,
+ editor = {B. Nordstr\"om and K. Petersson and G. Plotkin},
+ publisher = {Available by ftp at site ftp.inria.fr},
+ title = {Proceedings of the 1992 Workshop on Types for Proofs and Programs},
+ year = {1992}
+}
+
+@Book{Nijmegen93,
+ editor = {H. Barendregt and T. Nipkow},
+ publisher = SV,
+ series = LNCS,
+ title = {Types for Proofs and Programs},
+ volume = {806},
+ year = {1994}
+}
+
+@article{ TheOmegaPaper,
+ author = "W. Pugh",
+ title = "The Omega test: a fast and practical integer programming algorithm for dependence analysis",
+ journal = "Communication of the ACM",
+ pages = "102--114",
+ year = "1992",
+}