On parametric dependent type theory:
Jean-Philippe Bernardy, Patrik Jansson?, and Ross Paterson?. 2010. Parametricity and dependent types. In Proceeding of the 15th ACM SIGPLAN international conference on Functional programming, ICFP 2010, Baltimore, Maryland, USA, September 27-29, 2010, Paul Hudak and Stephanie Weirich (Eds.). ACM, 345–356. [doi:10.1145/1863543.1863592]
Jean-Philippe Bernardy and Guilhem Moulin?. 2012. A Computational Interpretation of Parametricity. In Proceedings of the 27th Annual IEEE Symposium on Logic in Computer Science, LICS 2012, Dubrovnik, Croatia, June 25-28, 2012. IEEE Computer Society, 135–144. [doi:10.1109/LICS.2012.25]
Jean-Philippe Bernardy, Thierry Coquand, and Guilhem Moulin?. 2015. A Presheaf Model of Parametric Type Theory. In The 31st Conference on the Mathematical Foundations of Programming Semantics, MFPS 2015, Nijmegen, The Netherlands, June 22-25, 2015 (Electronic Notes in Theoretical Computer Science, Vol. 319), Dan R. Ghica (Ed.). Elsevier, 67–82. [doi:10.1016/j.entcs.2015.12.006]
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