% quantitative stuff

@inproceedings{grtt,
  author    = {Moon, Benjamin and
               Eades, III, Harley and
               Orchard, Dominic},
  editor    = {Yoshida, Nobuko},
  title     = {Graded Modal Dependent Type Theory},
  booktitle = {Programming Languages and Systems:
               30th European Symposium on Programming, ({ESOP} 2021)},
  series    = {Lecture Notes in Computer Science},
  volume    = {12648},
  pages     = {462--490},
  publisher = {Springer},
  year      = {2021},
% url       = {https://doi.org/10.1007/978-3-030-72019-3\_17},
  url       = {https://arxiv.org/abs/2010.13163},
  doi       = {10.1007/978-3-030-72019-3\_17}
}

@inproceedings{nuttin,
  author    = {Conor McBride},
  editor    = {Sam Lindley and
               Conor McBride and
               Philip W. Trinder and
               Donald Sannella},
  title     = {I Got Plenty o' Nuttin'},
  booktitle = {A List of Successes That Can Change the World - Essays Dedicated to
               Philip Wadler on the Occasion of His 60th Birthday},
  series    = {Lecture Notes in Computer Science},
  volume    = {9600},
  pages     = {207--233},
  publisher = {Springer},
  year      = {2016},
% url       = {https://doi.org/10.1007/978-3-319-30936-1\_12},
  url       = {https://personal.cis.strath.ac.uk/conor.mcbride/PlentyO-CR.pdf},
  doi       = {10.1007/978-3-319-30936-1\_12}
}

@inproceedings{qtt,
  author    = {Robert Atkey},
  editor    = {Anuj Dawar and
               Erich Gr{\"{a}}del},
  title     = {Syntax and Semantics of Quantitative Type Theory},
  booktitle = {Proceedings of the 33rd Annual {ACM/IEEE} Symposium on Logic in Computer
               Science, {LICS} 2018, Oxford, UK, July 09-12, 2018},
  pages     = {56--65},
  publisher = {{ACM}},
  year      = {2018},
% url       = {https://doi.org/10.1145/3209108.3209189},
  url       = {https://bentnib.org/quantitative-type-theory.pdf},
  doi       = {10.1145/3209108.3209189}
}


% observational stuff

@inproceedings{ott-now,
  author    = {Thorsten Altenkirch and
               Conor McBride and
               Wouter Swierstra},
  editor    = {Aaron Stump and
               Hongwei Xi},
  title     = {Observational equality, now!},
  booktitle = {Proceedings of the {ACM} Workshop Programming Languages meets Program
               Verification, {PLPV} 2007, Freiburg, Germany, October 5, 2007},
  pages     = {57--68},
  publisher = {{ACM}},
  year      = {2007},
% url       = {https://doi.org/10.1145/1292597.1292608},
  url       = {https://www.cs.nott.ac.uk/~psztxa/publ/obseqnow.pdf},
  doi       = {10.1145/1292597.1292608}
}

@article{ott-good,
  author  = {Lo{\"{\i}}c Pujet and Nicolas Tabareau},
  title   = {Observational equality: now for good},
  journal = {Proc. {ACM} Program. Lang.},
  volume  = {6},
  number  = {{POPL}},
  pages   = {1--27},
  year    = {2022},
  url     = {https://doi.org/10.1145/3498693},
  doi     = {10.1145/3498693},
}

@inproceedings{xtt,
  author    = {Jonathan Sterling and Carlo Angiuli and Daniel Gratzer},
  editor    = {Herman Geuvers},
  title     = {Cubical Syntax for Reflection-Free Extensional Equality},
  booktitle = {4th International Conference on Formal Structures for Computation
               and Deduction, {FSCD} 2019, June 24-30, 2019, Dortmund, Germany},
  series    = {LIPIcs},
  volume    = {131},
  pages     = {31:1--31:25},
  publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
  year      = {2019},
% url       = {https://doi.org/10.4230/LIPIcs.FSCD.2019.31},
  url       = {https://arxiv.org/pdf/1904.08562.pdf},
  doi       = {10.4230/LIPIcs.FSCD.2019.31}
}


% NbE

@article{nbe-mltt,
  title    = {Normalization by Evaluation for Martin-L\"of Type Theory with
              One Universe},
  journal  = {Electronic Notes in Theoretical Computer Science},
  volume   = {173},
  pages    = {17-39},
  year     = {2007},
  note     = {Proceedings of the 23rd Conference on the Mathematical Foundations
              of Programming Semantics (MFPS XXIII)},
  issn     = {1571-0661},
  doi      = {https://doi.org/10.1016/j.entcs.2007.02.025},
  url      = {https://www.sciencedirect.com/science/article/pii/S1571066107000977},
  author   = {Andreas Abel and Klaus Aehlig and Peter Dybjer},
  keywords = {Dependent Types, Domain Semantics, Normalization by Evaluation,
              Type Theory, Universe}
}

@inproceedings{nbe-mltt-eq,
  author    = {Andreas Abel and Thierry Coquand and Peter Dybjer},
  title     = {Normalization by Evaluation for Martin-L\"of Type Theory with Typed
               Equality Judgements},
  booktitle = {22nd {IEEE} Symposium on Logic in Computer Science
               ({LICS} 2007)},
  pages     = {3--12},
  publisher = {{IEEE} Computer Society},
  year      = {2007},
% url       = {https://doi.org/10.1109/LICS.2007.33},
  url       = {https://www.cse.chalmers.se/~abela/lics07.pdf},
  doi       = {10.1109/LICS.2007.33}
}

@inproceedings{nbe-cbpv,
  author    = {Andreas Abel and Christian Sattler},
  editor    = {Ekaterina Komendantskaya},
  title     = {Normalization by Evaluation for Call-By-Push-Value and Polarized
               Lambda Calculus},
  booktitle = {Proceedings of the 21st International Symposium on Principles and
               Practice of Programming Languages ({PPDP} 2019)},
  pages     = {3:1--3:12},
  publisher = {{ACM}},
  year      = {2019},
% url       = {https://doi.org/10.1145/3354166.3354168},
  url       = {https://www.cse.chalmers.se/~abela/ppdp19.pdf},
  doi       = {10.1145/3354166.3354168}
}

@phdthesis{nbe-habil,
  author = {Andreas Abel},
  title  = {Normalization by Evaluation: Dependent Types and Impredicativity},
  year   = {2013},
  type   = {Habilitation thesis},
  school = {Institut f\"ur Informatik,
            Ludwig-Maximilians-Universit\"at M\"unchen},
  url    = {https://www.cse.chalmers.se/~abela/habil.pdf}
}

@inproceedings{nbe-delay,
  author    = {Andreas Abel and James Chapman},
  editor    = {Paul Levy and Neel Krishnaswami},
  title     = {Normalization by Evaluation in the Delay Monad:
               {A} Case Study for Coinduction via Copatterns and Sized Types},
  booktitle = {Proceedings 5th Workshop on Mathematically Structured
               Functional Programming (MSFP 2014)},
  series    = {{EPTCS}},
  volume    = {153},
  pages     = {51--67},
  year      = {2014},
% url       = {https://doi.org/10.4204/EPTCS.153.4},
  url       = {https://www.cse.chalmers.se/~abela/eptcs14.pdf},
  doi       = {10.4204/EPTCS.153.4}
}

% Misc type stuff

@article{calf,
  author = {Niu, Yue and Sterling, Jonathan and Grodin, Harrison and
            Harper, Robert},
  title = {A Cost-Aware Logical Framework},
  year = {2022},
  publisher = {Association for Computing Machinery},
  volume = {6},
  number = {POPL},
  url = {https://doi.org/10.1145/3498670},
  doi = {10.1145/3498670},
  journal = {Proc. ACM Program. Lang.},
  month = {jan},
  articleno = {9},
  numpages = {31},
  keywords = {amortized analysis, phase distinction, algorithm analysis, cost
    models, proof assistants, mechanized proof, parallel algorithms,
    noninterference, intensional property, behavioral verification, equational
    reasoning, recurrence relations, modal type theory}
}

% Misc implementation

@article{expl-sub,
  author    = {Mart{\'{\i}}n Abadi and
               Luca Cardelli and
               Pierre{-}Louis Curien and
               Jean{-}Jacques L{\'{e}}vy},
  title     = {Explicit Substitutions},
  journal   = {J. Funct. Program.},
  volume    = {1},
  number    = {4},
  pages     = {375--416},
  year      = {1991},
% url       = {https://doi.org/10.1017/S0956796800000186},
  url       = {http://lucacardelli.name/Papers/ExplicitSub.pdf},
  doi       = {10.1017/S0956796800000186}
}

@article{modal-mltt,
  author       = {Gratzer, Daniel and Sterling, Jonathan and Birkedal, Lars},
  location     = {New York, NY, USA},
  publisher    = {ACM},
  date         = {2019-07},
  doi          = {10.1145/3341711},
  issn         = {2475-1421},
  journaltitle = {Proceedings of the ACM on Programming Languages},
  keywords     = {Modal types,dependent types,normalization by evaluation,type-checking},
  number       = {ICFP},
  pages        = {107:1--107:29},
  title        = {Implementing a Modal Dependent Type Theory},
  volume       = {3},
  url          = {https://www.jonmsterling.com/pdfs/modal-mltt.pdf},
  note         = {implementation at
                  \url{https://www.jonmsterling.com/resources/blott.tar.gz}}
}

@article{cbpv,
  author    = {Paul Blain Levy},
  title     = {Call-by-push-value: Decomposing call-by-value and call-by-name},
  journal   = {High. Order Symb. Comput.},
  volume    = {19},
  number    = {4},
  pages     = {377--414},
  year      = {2006},
  % url       = {https://doi.org/10.1007/s10990-006-0480-6},
  url       = {https://www.cs.bham.ac.uk/~pbl/papers/hosc05.pdf},
  doi       = {10.1007/s10990-006-0480-6},
}