cat/proposal/refs.bib

114 lines
3.4 KiB
BibTeX

@article{cohen-2016,
author = {Cyril Cohen and
Thierry Coquand and
Simon Huber and
Anders M{\"{o}}rtberg},
title =
{ Cubical Type Theory:
a constructive interpretation of the univalence axiom
},
journal = {CoRR},
volume = {abs/1611.02108},
year = {2016},
url = {http://arxiv.org/abs/1611.02108},
timestamp = {Thu, 01 Dec 2016 19:32:08 +0100},
biburl = {http://dblp.uni-trier.de/rec/bib/journals/corr/CohenCHM16},
bibsource = {dblp computer science bibliography, http://dblp.org}
}
@book{hott-2013,
author = {The {Univalent Foundations Program}},
title = {Homotopy Type Theory: Univalent Foundations of Mathematics},
publisher = {\url{https://homotopytypetheory.org/book}},
address = {Institute for Advanced Study},
year = 2013
}
@book{awodey-2006,
title={Category Theory},
author={Awodey, S.},
isbn={9780191513824},
series={Oxford Logic Guides},
url={https://books.google.se/books?id=IK\_sIDI2TCwC},
year={2006},
publisher={Ebsco Publishing}
}
@misc{cubical-demo,
author = {Andrea Vezzosi},
title = {Cubical Type Theory Demo},
year = {2017},
publisher = {GitHub},
journal = {GitHub repository},
howpublished = {\url{https://github.com/Saizan/cubical-demo}},
commit = {a51d5654c439111110d5b6df3605b0043b10b753}
}
@misc{cubical-agda,
author = {Andrea Vezzosi},
title = {Cubical Extension to Agda},
year = {2017},
publisher = {GitHub},
journal = {GitHub repository},
howpublished = {\url{https://github.com/agda/agda}},
commit = {92de32c0669cb414f329fff25497a9ddcd58b951}
}
@misc{agda,
author = {Ulf Norell},
title = {Agda},
year = {2017},
publisher = {GitHub},
journal = {GitHub repository},
howpublished = {\url{https://github.com/agda/agda}},
commit = {92de32c0669cb414f329fff25497a9ddcd58b951}
}
@inproceedings{bezem-2014,
title={A model of type theory in cubical sets},
author={Bezem, Marc and Coquand, Thierry and Huber, Simon},
booktitle={19th International Conference on Types for Proofs and Programs (TYPES 2013)},
volume={26},
pages={107--128},
year={2014}
}
@article{coquand-2013,
title={Isomorphism is equality},
author={Coquand, Thierry and Danielsson, Nils Anders},
journal={Indagationes Mathematicae},
volume={24},
number={4},
pages={1105--1120},
year={2013},
publisher={Elsevier}
}
@inproceedings{dybjer-1995,
title={Internal type theory},
author={Dybjer, Peter},
booktitle={International Workshop on Types for Proofs and Programs},
pages={120--134},
year={1995},
organization={Springer}
}
@inproceedings{voevodsky-2011,
title={Univalent foundations of mathematics},
author={Voevodsky, Vladimir},
booktitle={International Workshop on Logic, Language, Information, and Computation},
pages={4--4},
year={2011},
organization={Springer}
}
@article{huber-2016,
title={Cubical Intepretations of Type Theory},
author={Huber, Simon},
year={2016}
}
@article{hofmann-1995,
title={Extensional concepts in intensional type theory},
author={Hofmann, Martin},
year={1995},
publisher={University of Edinburgh. College of Science and Engineering. School of Informatics.}
}
@MISC{mo-formalizations,
TITLE = {Formalizations of category theory in proof assistants},
AUTHOR = {Jason Gross},
HOWPUBLISHED = {MathOverflow},
NOTE = {Version: 2014-01-19},
year={2014},
EPRINT = {\url{https://mathoverflow.net/q/152497}},
URL = {https://mathoverflow.net/q/152497}
}