@inbook(abou-saleh_reflections_2016, author = {Abou-Saleh, Faris and James Cheney and Jeremy Gibbons and James McKinna and Perdita Stevens}, year = {2016}, title = {Reflections on Monadic Lenses}, pages = {1--31}, publisher = {Springer International Publishing}, doi = {10.1007/978-3-319-30936-1\textunderscore1}, ) @article(bancilhon_update_1981, author = {F. Bancilhon and N. Spyratos}, year = {1981}, title = {Update semantics of relational views}, journal = {ACM Transactions on Database Systems}, volume = {6}, number = {4}, pages = {557--575}, doi = {10.1145/319628.319634}, ) @article(coecke_mathematics_2019, author = {Bob Coecke}, year = {2019}, title = {The {Mathematics} of {Text} {Structure}}, journal = {arXiv Preprint}, volume = {arXiv:1904.03478 [cs.CL]}, url = {https://arxiv.org/abs/1904.03478}, ) @book(bob_coecke_aleks_kissinger_picturing_2017, author = {Bob Coecke and Aleks Kissinger}, year = {2017}, title = {Picturing {Quantum} {Processes}}, edition = {1}, publisher = {Cambridge University Press}, doi = {10.1017/9781316219317}, ) @article(coecke2020meaning, author = {Bob Coecke and Konstantinos Meichanetzidis}, year = {2020}, title = {Meaning updating of density matrices}, journal = {arXiv preprint}, volume = {arXiv:2001.00862 [quant-ph]}, url = {https://arxiv.org/abs/2001.00862}, ) @incollection(coecke_measurements, author = {Bob Coecke and Dusko Pavlovic}, year = {2007}, title = {Quantum measurements without sums}, editor = {G. Chen and L. Kauffman and S. Lamonaco}, booktitle = {Mathematics of Quantum Computing and Technology}, publisher = {Taylor and Francis}, pages = {567--604}, doi = {10.1201/9781584889007.ch16}, note = {ArXiv:quant-ph/0608035}, ) @article(coecke_mathematical_meaning, author = {Bob Coecke and Mehrnoosh Sadrzadeh and Stephen Clark}, year = {2010}, title = {Mathematical Foundations for a Compositional Distributional Model of Meaning}, journal = {Lambek Festschrift Linguistic Analysis}, volume = {36}, url = {http://arxiv.org/abs/1003.4394}, ) @article(coecke_classicality, author = {Bob Coecke and John Selby and Sean Tull}, year = {2018}, title = {Two Roads to Classicality}, journal = {EPTCS}, volume = {266}, pages = {104--118}, doi = {10.4204/eptcs.266.7}, ) @inproceedings(foster_combinators_nodate, author = {J. Nathan Foster and Michael B. Greenwald and Jonathan T. Moore and Benjamin C. Pierce and Alan Schmitt}, year = {2005}, title = {Combinators for Bi-Directional Tree Transformations: A Linguistic Approach to the View Update Problem}, editor = {Jens Palsberg and Mart{\'i}n Abadi}, booktitle = {Proceedings of the 32nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL 2005, Long Beach, California, USA, January 12-14, 2005}, publisher = {ACM}, pages = {233--246}, doi = {10.1145/1040305.1040325}, ) @article(gogioso_schrodinger, author = {Stefano Gogioso}, year = {2015}, title = {Categorical Semantics for Schr\IeC{\"o}dinger's Equation}, journal = {arXiv Preprint}, volume = {arXiv:1501.06489}, url = {https://arxiv.org/abs/1501.06489}, ) @article(gogioso_monadic, author = {Stefano Gogioso}, year = {2015}, title = {Monadic Dynamics}, journal = {arXiv Preprint}, volume = {arXiv:1501.04921}, url = {https://arxiv.org/abs/1501.04921}, ) @inproceedings(gogioso_dynamics, author = {Stefano Gogioso}, year = {2019}, title = {{A Diagrammatic Approach to Quantum Dynamics}}, editor = {Markus Roggenbach and Ana Sokolova}, booktitle = {8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, volume = {139}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik}, address = {Dagstuhl, Germany}, pages = {19:1--19:23}, doi = {10.4230/LIPIcs.CALCO.2019.19}, ) @article(hefford2020categories, author = {James Hefford and Vincent Wang and Matthew Wilson}, year = {2020}, title = {Categories of Semantic Concepts}, journal = {arXiv Preprint}, volume = {arXiv:2004.10741}, url = {https://arxiv.org/abs/2004.10741}, ) @book(heunen2019categories, author = {C. Heunen and J. Vicary}, year = {2019}, title = {Categories for Quantum Theory: An Introduction}, series = {Oxford Graduate Texts in Mathematics Series}, publisher = {Oxford University Press}, doi = {10.1093/oso/9780198739623.001.0001}, ) @article(heunen_monads, author = {Chris Heunen and Martti Karvonen}, year = {2016}, title = {Monads on Dagger Categories}, journal = {Theory and Applications of Categories}, volume = {31}, number = {35}, pages = {1016--1043}, ) @article(Heunen_cp, author = {Chris Heunen and Aleks Kissinger and Peter Selinger}, year = {2014}, title = {Completely positive projections and biproducts}, journal = {EPTCS}, volume = {171}, pages = {71--83}, doi = {10.4204/eptcs.171.7}, ) @article(rileyCategoriesOptics2018, author = {Mitchell Riley}, year = {2018}, title = {Categories of {{Optics}}}, journal = {arXiv Preprint}, volume = {arXiv:1809.00738}, url = {https://arxiv.org/abs/1809.00738}, ) @article(selinger, author = {Peter Selinger}, year = {2007}, title = {Dagger Compact Closed Categories and Completely Positive Maps}, journal = {Electronic Notes in Theoretical Computer Science}, volume = {170}, pages = {139--163}, doi = {10.1016/j.entcs.2006.12.018}, ) @article(selinger_idempotents, author = {Peter Selinger}, year = {2008}, title = {Idempotents in Dagger Categories: (Extended Abstract)}, journal = {Electronic Notes in Theoretical Computer Science}, volume = {210}, pages = {107 -- 122}, doi = {10.1016/j.entcs.2008.04.021}, note = {Proceedings of the 4th International Workshop on Quantum Programming Languages (QPL 2006)}, )