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@article{Altenkirch2010,
author = {Altenkirch, Thorsten and Danielsson, Nils Anders and L\"{o}h, Andres and Oury, Nicolas},
file = {:home/bitonic/docs/papers/PiSigma.pdf:pdf},
journal = {Functional and Logic Programming},
pages = {40--55},
title = {{$\Pi$$\Sigma$: dependent types without the sugar}},
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year = {2010}
}
@article{Altenkirch2007,
address = {New York, New York, USA},
author = {Altenkirch, Thorsten and McBride, Conor and Swierstra, Wouter},
doi = {10.1145/1292597.1292608},
file = {:home/bitonic/docs/papers/OTT2.pdf:pdf},
isbn = {9781595936776},
journal = {Proceedings of the 2007 workshop on Programming languages meets program verification - PLPV '07},
keywords = {case analysis relies on,datatypes are indexed in,equality,of any language where,ole in the programs,play a crucial internal,rˆ,solving,some way,type theory},
pages = {57},
publisher = {ACM Press},
title = {{Observational equality, now!}},
url = {http://portal.acm.org/citation.cfm?doid=1292597.1292608},
year = {2007}
}
@article{Barendregt1991,
author = {Barendregt, Henk},
file = {:home/bitonic/docs/papers/lambda-cube.pdf:pdf},
journal = {Journal of functional programming},
title = {{Introduction to generalized type systems}},
url = {http://www.diku.dk/hjemmesider/ansatte/henglein/papers/barendregt1991.pdf},
year = {1991}
}
@article{Brady2013,
author = {Brady, Edwin},
file = {:home/bitonic/docs/papers/idris-implementation.pdf:pdf},
journal = {Unpublished draft},
number = {November},
title = {{Implementing General Purpose Dependently Typed Programming Languages}},
url = {http://www.cs.st-andrews.ac.uk/~eb/drafts/impldtp.pdf},
year = {2013}
}
@article{Chapman2010,
address = {New York, New York, USA},
author = {Chapman, James and Dagand, Pierre-\'{E}variste and McBride, Conor and Morris, Peter},
doi = {10.1145/1863543.1863547},
file = {:home/bitonic/docs/papers/conor-levitation.pdf:pdf},
isbn = {9781605587943},
journal = {Proceedings of the 15th ACM SIGPLAN international conference on Functional programming - ICFP '10},
pages = {3},
publisher = {ACM Press},
title = {{The gentle art of levitation}},
url = {http://portal.acm.org/citation.cfm?doid=1863543.1863547},
year = {2010}
}
@article{Church1936,
author = {Church, Alonzo},
file = {:home/bitonic/docs/papers/church-lc.pdf:pdf},
journal = {American journal of mathematics},
number = {2},
pages = {345--363},
title = {{An unsolvable problem of elementary number theory}},
url = {http://www.ams.org/leavingmsn?url=http://dx.doi.org/10.2307/2371045},
volume = {58},
year = {1936}
}
@article{Church1940,
author = {Church, Alonzo},
file = {:home/bitonic/docs/papers/church-stlc.pdf:pdf},
journal = {J. Symb. Log.},
number = {2},
pages = {56--68},
title = {{A formulation of the simple theory of types}},
url = {http://www.ams.org/leavingmsn?url=http://dx.doi.org/10.2307/2266170},
volume = {5},
year = {1940}
}
@article{Coquand1986,
author = {Coquand, Thierry and Huet, Gerard},
file = {:home/bitonic/docs/papers/coc.pdf:pdf},
title = {{The calculus of constructions}},
url = {http://hal.inria.fr/docs/00/07/60/24/PDF/RR-0530.pdf},
year = {1986}
}
@article{Curry1934,
author = {Curry, Haskell B.},
file = {:home/bitonic/docs/papers/curry-stlc.pdf:pdf},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = {1930},
pages = {584--590},
title = {{Functionality in combinatory logic}},
url = {http://www.ncbi.nlm.nih.gov/pmc/articles/pmc1076489/},
volume = {511},
year = {1934}
}
@article{Dybjer1991,
author = {Dybjer, Peter},
file = {:home/bitonic/docs/papers/dybjer-inductive.ps:ps},
journal = {Logical Frameworks},
title = {{Inductive sets and families in Martin-L\"{o}f's type theory and their set-theoretic semantics}},
url = {http://books.google.com/books?hl=en\&lr=\&id=X9wfWwslFQIC\&oi=fnd\&pg=PA280\&dq=Inductive+Sets+and+Families+in+Martin-L\%C3\%B6f\%27s+Type+Theory+and+Their+Set-Theoretic+Semantics\&ots=LewzM17GcW\&sig=vF4GgtlEBSf1uwRV1o\_unDtLats},
year = {1991}
}
@article{Hurkens1995,
author = {Hurkens, Antonius J.C.},
file = {:home/bitonic/docs/papers/hurkens-paradox.pdf:pdf},
journal = {Typed Lambda Calculi and Applications},
title = {{A simplification of Girard's paradox}},
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}
@article{Jacobs1997,
author = {Jacobs, Bart and Rutten, Jan},
file = {:home/bitonic/docs/papers/coalgebra-coind.pdf:pdf},
journal = {EATCS Bulletin},
number = {1997},
title = {{A tutorial on (co) algebras and (co) induction}},
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year = {1997}
}
@book{Martin-Lof1984,
author = {Martin-L\"{o}f, Per},
file = {:home/bitonic/docs/papers/martin-lof-tt.pdf:pdf},
isbn = {8870881059},
publisher = {Bibliopolis},
title = {{Intuitionistic type theory}},
year = {1984}
}

@Article{McBride2004,
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   number = {1},
   volume = {14},
   title = {The view from the left},
   year = {2004},
   author = {C. McBride and J. McKinna}
}

@phdthesis{Gimenez1996,
author={Giménez, Eduardo},
title={Un calcul de constructions infinies et son application {\`a} la v{\'e}rification de syst{\`e}mes communicants},
school = {Ecole Normale Sup{\'e}rieure de Lyon},
year = 1996
}

@phdthesis{McBride1999,
author = {McBride, Conor},
file = {:home/bitonic/.local/share/data/Mendeley Ltd./Mendeley Desktop/Downloaded/McBride - 1999 - Dependently typed functional programs and their proofs.pdf:pdf},
school = {University of Edinburgh},
title = {{Dependently typed functional programs and their proofs}},
url = {http://lac-repo-live7.is.ed.ac.uk/handle/1842/374},
year = {1999}
}
@phdthesis{Norell2007,
author = {Norell, Ulf},
file = {:home/bitonic/docs/papers/ulf-thesis.pdf:pdf},
isbn = {9789172919969},
school = {Chalmers University of Technology and G\"{o}teborg University},
title = {{Towards a practical programming language based on dependent type theory}},
url = {http://www.cse.chalmers.se/~ulfn/papers/thesis.pdf},
year = {2007}
}
@article{Oury2008,
address = {New York, New York, USA},
author = {Oury, Nicolas and Swierstra, Wouter},
doi = {10.1145/1411204.1411213},
file = {:home/bitonic/docs/papers/powerofpi.pdf:pdf},
isbn = {9781595939197},
journal = {Proceeding of the 13th ACM SIGPLAN international conference on Functional programming - ICFP '08},
pages = {39},
publisher = {ACM Press},
title = {{The power of Pi}},
url = {http://portal.acm.org/citation.cfm?doid=1411204.1411213},
year = {2008}
}
@article{Pierce2000,
author = {Pierce, Benjamin C. and Turner, David N.},
doi = {10.1145/345099.345100},
file = {:home/bitonic/docs/papers/local-type-inference.pdf:pdf},
issn = {01640925},
journal = {ACM Transactions on Programming Languages and Systems},
month = jan,
number = {1},
pages = {1--44},
title = {{Local type inference}},
url = {http://portal.acm.org/citation.cfm?doid=345099.345100},
volume = {22},
year = {2000}
}
@article{Pollack1990,
author = {Pollack, Robert},
file = {:home/bitonic/docs/papers/implicit-syntax.ps:ps},
journal = {Informal Proceedings of First Workshop on Logical Frameworks},
title = {{Implicit syntax}},
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year = {1992}
}
@article{Reynolds1994,
author = {Reynolds, John C.},
file = {:home/bitonic/docs/papers/reynolds-polymorphic-lc.ps:ps},
journal = {Logical Foundations of Functional Programming},
title = {{An introduction to the polymorphic lambda calculus}},
url = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.7.9916\&rep=rep1\&type=pdf},
year = {1994}
}
@article{Sulzmann2007,
address = {New York, New York, USA},
author = {Sulzmann, Martin and Chakravarty, Manuel M. T. and Jones, Simon Peyton and Donnelly, Kevin},
doi = {10.1145/1190315.1190324},
file = {:home/bitonic/docs/papers/systemf-coercions.pdf:pdf},
isbn = {159593393X},
journal = {Proceedings of the 2007 ACM SIGPLAN international workshop on Types in languages design and implementation - TLDI '07},
pages = {53},
publisher = {ACM Press},
title = {{System F with type equality coercions}},
url = {http://portal.acm.org/citation.cfm?doid=1190315.1190324},
year = {2007}
}
@article{Tait1967,
author = {Tait, William W.},
file = {:home/bitonic/docs/papers/tait-normalising.pdf:pdf},
journal = {The Journal of Symbolic Logic},
number = {2},
pages = {198--212},
title = {{Intensional Interpretations of Functionals of Finite Type}},
volume = {32},
year = {1967}
}
@article{Vytiniotis2011,
author = {Vytiniotis, Dimitrios and Jones, Simon Peyton and Schrijvers, Tom and Sulzmann, Martin},
file = {:home/bitonic/docs/papers/outsidein.pdf:pdf},
journal = {Journal of Functional Programming},
number = {4-5},
pages = {333--412},
title = {{OutsideIn (X) Modular type inference with local assumptions}},
url = {http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=8274818},
volume = {21},
year = {2011}
}
@article{Yorgey2012,
address = {New York, New York, USA},
author = {Yorgey, Brent a. and Weirich, Stephanie and Cretin, Julien and {Peyton Jones}, Simon and Vytiniotis, Dimitrios and Magalh\~{a}es, Jos\'{e} Pedro},
doi = {10.1145/2103786.2103795},
file = {:home/bitonic/docs/papers/haskell-promotion.pdf:pdf},
isbn = {9781450311205},
journal = {Proceedings of the 8th ACM SIGPLAN workshop on Types in language design and implementation - TLDI '12},
pages = {53},
publisher = {ACM Press},
title = {{Giving Haskell a promotion}},
url = {http://dl.acm.org/citation.cfm?doid=2103786.2103795},
year = {2012}
}

@ARTICLE{Loh2010,
  author = {Andres L{\"o}h and Conor McBride and Wouter Swierstra},
  title = {A Tutorial Implementation of a Dependently Typed Lambda Calculus},
  journal = {Fundam. Inform.},
  year = {2010},
  volume = {102},
  pages = {177-207},
  number = {2},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  ee = {http://dx.doi.org/10.3233/FI-2010-304},
  file = {:home/bitonic/docs/papers/simply-easy.pdf:pdf},
  owner = {bitonic}
}

@ARTICLE{Bruijn91,
  author = {de Bruijn, Nicolaas Govert},
  title = {Telescopic mappings in typed lambda calculus},
  journal = {Information and Computation},
  year = {1991},
  volume = {91},
  pages = {189--204},
  number = {2},
  file = {:/home/bitonic/docs/papers/telescopes.pdf:PDF},
  publisher = {Elsevier}
}

@UNPUBLISHED{Huet1988,
  author = {Huet, Gerard P.},
  title = {Extending The Calculus of Constructions with Type:Type},
  note = {Unpublished draft},
  year = {1988},
  file = {:home/bitonic/docs/papers/huet-typtyp.pdf:pdf},
  owner = {bitonic},
  timestamp = {2013.06.10}
}

@ARTICLE{Harper1991,
  author = {Harper, Robert and Pollack, Robert},
  title = {Type checking with universes},
  journal = {Theoretical computer science},
  year = {1991},
  volume = {89},
  pages = {107--136},
  number = {1},
  file = {:/home/bitonic/docs/papers/type-checking-universes.ps.gz:PostScript},
  publisher = {Elsevier}
}

@ARTICLE{Jacobs1994,
    author = {Jacobs, Bart},
    title = {Quotients in Simple Type Theory},
    journal = {Manuscript, Math. Inst},
    year = {1994}
}

@inproceedings{Hofmann1994,
  title={The groupoid model refutes uniqueness of identity proofs},
  author={Hofmann, Martin and Streicher, Thomas},
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  pages={208--212},
  year={1994},
  organization={IEEE}
}

@INPROCEEDINGS{Coquand1992,
  author = {Coquand, Thierry},
  title = {Pattern matching with dependent types},
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  year = {1992},
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  pages = {66--79},
  file = {:/home/bitonic/docs/papers/coquand-pattern.ps:PostScript}
}

@INPROCEEDINGS{Abel2007,
  author = {Abel, Andreas and Coquand, Thierry and Dybjer, Peter},
  title = {Normalization by evaluation for Martin-Lof type theory with typed
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  booktitle = {Logic in Computer Science, 2007. LICS 2007. 22nd Annual IEEE Symposium
	on},
  year = {2007},
  pages = {3--12},
  organization = {IEEE},
  file = {:/home/bitonic/docs/papers/nbe.pdf:PDF}
}

@inproceedings{McBride2004b,
  title={I am not a number: I am a free variable},
  author={McBride, Conor and McKinna, James},
  booktitle={Proceedings of the ACM SIGPLAN Haskell Workshop},
  year={2004},
}

@article{Bird1999,
  title={De Bruijn notation as a nested datatype},
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  number={1},
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  year={1999},
  publisher={Cambridge Univ Press}
}

@inproceedings{de1972lambda,
  title={Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem},
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  booktitle={Indagationes Mathematicae (Proceedings)},
  volume={75},
  number={5},
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  year={1972},
  organization={Elsevier}
}

@article{henglein1993type,
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  publisher={ACM}
}

@inproceedings{weirich2011binders,
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  volume={46},
  number={9},
  pages={333--345},
  year={2011},
  organization={ACM}
}

@inproceedings{King1995,
  title={Structuring depth-first search algorithms in Haskell},
  author={King, David J and Launchbury, John},
  booktitle={Proceedings of the 22nd ACM SIGPLAN-SIGACT symposium on Principles of programming languages},
  pages={344--354},
  year={1995},
  organization={ACM}
}

@article{milner1978theory,
  title={A theory of type polymorphism in programming},
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  journal={Journal of computer and system sciences},
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  number={3},
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}

@article{dagand2012elaborating,
  title={Elaborating inductive definitions},
  author={Dagand, Pierre-Evariste and McBride, Conor},
  journal={arXiv preprint arXiv:1210.6390},
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