% 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, Held as Part of the European Joint Conferences on Theory and Practice of Software, {ETAPS} 2021, Luxembourg City, Luxembourg, March 27 - April 1, 2021, Proceedings}, 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}, 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} } @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} } % Misc implementation @article{nbe-abel, title = {Normalization by Evaluation for Martin-Löf 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}, } @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} }