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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 = "{Sprin\-ger-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 = {pp 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,
PS={http://pauillac.inria.fr/~boutin/public_w/submitTACS97.ps.gz},
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{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},
ADDRESS = {Berg en Dal, The Netherlands},
TITLE = {Mathematical Quotients and Quotient Types in Coq},
BOOKTITLE = {TYPES'02},
PUBLISHER = SV,
SERIES = LNCS,
VOLUME = {2646},
YEAR = {2003}
}
@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}
}
@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-L{\"o}f'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. {\'E}tude 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. Filli{\^a}tre},
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 = {Th{\`e}se 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
}
@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 = {{\'E}criture 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}
}
@MANUAL{Kre02,
AUTHOR = {C. Kreitz},
TITLE = {The Nuprl Proof Development System, Version 5~:
Reference Manual and User's Guide},
INSTITUTION = {Department of Computer Science,
Cornell University},
MONTH = dec,
YEAR = {2002}
}
@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 = {Proceedings of the TYPES'2002 workshop},
year = 2002,
note = {to appear},
url = {draft at \url{http://www.lri.fr/~letouzey/download/extraction2002.ps.gz}}
}
@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},
JOURNAL = {TCS},
TITLE = {Automatizing termination proof of recursively defined function},
YEAR = {To appear}
}
@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. Mu{\~n}oz},
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 = {{D{\'e}veloppement de l'Algorithme d'Unification dans le Calcul des Constructions}},
YEAR = {1992}
}
@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}
}
@INPROCEEDINGS{SLKN01,
AUTHOR = {S. Schmitt and L. Lorigo and C. Kreitz
and A. Nogin},
TITLE = {Integrating Connection-based Theorem Proving
into Interactive Proof Assistants},
BOOKTITLE = {Proceedings of International Joint Conference on
Automated Reasoning},
EDITOR = {R. Gore and A. Leitsch and T. Nipkow},
PUBLISHER = SV,
SERIES = LNAI,
VOLUME = {2083},
PAGES = {421--426},
YEAR = {2001}
}
@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}
}
@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,
author = {Yves bertot and Pierre Castéran},
title = {Coq'Art},
publisher = {Springer-Verlag},
year = 2004,
note = {To appear}
}
@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}
}
@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}
}
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