@inproceedings(AC2004, author = "Samson Abramsky and Bob Coecke", year = "2004", title = "A categorical semantics of quantum protocols", booktitle = "19th IEEE Symposium on Logic in Computer Science (LICS 2004), 14-17 July 2004, Turku, Finland, Proceedings", publisher = "IEEE Computer Society", pages = "415--425", doi = "10.1109/LICS.2004.1319636", ) @misc(Boneva2007, author = "Iovka B. {Boneva} and Arend {Rensink} and Marcos E. {Kurb\'an} and J\"org {Bauer}", year = "2007", title = "Graph Abstraction and Abstract Graph Transformation", url = "http://doc.utwente.nl/64257/", note = "Technical Report, Universiteit Twente", ) @inproceedings(Coecke2008, author = "Bob Coecke and Ross Duncan", year = "2008", title = "Interacting quantum observables", editor = "Luca Aceto and Ivan Damg{\r a}rd and Leslie Ann Goldberg and Magn\'{u}s Halld\'{o}rson and Anna Ing\'{o}lfsdottir and Igor Wa{\l }ukiewicz", booktitle = "Automata, Languages and Programming, 35th International Colloquium, ICALP 2008, Reykjavik, Iceland, July 7-11, 2008, Proceedings, Part II--Track B: Logic, Semantics, and Theory of Programming \& Track C: Security and Cryptography Foundations", series = "Lecture Notes in Computer Science", volume = "5126", publisher = "Springer Verlag", pages = "298--310", doi = "10.1007/978-3-540-70583-3\_25", ) @inproceedings(CoeckeKissinger2010, author = "Bob Coecke and Aleks Kissinger", year = "2010", title = "The compositional structure of multipartite quantum entanglement", editor = "Samson Abramsky and Cyril Gavoille and Claude Kirchner and Friedhelm Meyer auf der Heide and Paul G. Spirakis", booktitle = "Automata, Languages and Programming, 37th International Colloquium, ICALP 2010, Bordeaux, France, July 6-10, 2010, Proceedings, Part II", series = "Lecture Notes in Computer Science", volume = "6199", publisher = "Springer Verlag", pages = "297--308", doi = "10.1007/978-3-642-14162-1\_25", ) @article(Coecke:2008p681, author = "Bob Coecke and Simon Perdrix and {\'E}ric Oliver Paquette", year = "2008", title = "Bases in Diagrammatic Quantum Protocols", journal = "Electronic Notes in Theoretical Computer Science", volume = "218", pages = "131--152", doi = "10.1016/j.entcs.2008.10.009", ) @article(dixon2009, author = "Lucas Dixon and Ross Duncan", year = "2009", title = "Graphical reasoning in compact closed categories for quantum computation", journal = "Annals of Mathematics and Artificial Intelligence", volume = "56", pages = "23--42", doi = "10.1007/s10472-009-9141-x", ) @inproceedings(Dixon2010, author = "Lucas Dixon and Ross Duncan and Aleks Kissinger", year = "2010", title = "Open Graphs and Computational Reasoning", editor = "S. Barry Cooper and Prakash Panangaden and Elham Kashefi", booktitle = "Proceedings Sixth Workshop on Developments in Computational Models: Causality, Computation, and Physics", series = "Electronic Proceedings in Theoretical Computer Science", volume = "26", pages = "169--180", doi = "10.4204/EPTCS.26.16", ) @article(DixonKissinger2010, author = "Lucas Dixon and Aleks Kissinger", year = "2010", title = "{Open Graphs and Monoidal Theories}", journal = "Computing Research Repository", volume = "abs/1011.4114", url = "http://arxiv.org/abs/1011.4114", ) @inproceedings(Ehrig1973, author = "Hartmut Ehrig and Michael Pfender and Hans J{\"u}rgen Schneider", year = "1973", title = "Graph-Grammars: An Algebraic Approach", booktitle = "14th Annual Symposium on Switching and Automata Theory, Iowa City, Iowa, USA, October 15-17, 1973", publisher = "IEEE Computer Society", pages = "167--180", doi = "10.1109/SWAT.1973.11", ) @article(Girard1987, author = "J.-Y. Girard", year = "1987", title = "Linear Logic", journal = "Theoretical Computer Science", volume = "50", number = "1", pages = "1--101", doi = "10.1016/0304-3975(87)90045-4", ) @misc(GROOVE, title = "The {GROOVE} Project", url = "http://groove.cs.utwente.nl/", ) @article(JS, author = "Andr{\'e} Joyal and Ross Street", year = "1991", title = "The geometry of tensor calculus. {I}", journal = "Advances in Mathematics", volume = "88", number = "1", pages = "55--112", doi = "10.1016/0001-8708(91)90003-P", ) @phdthesis(aleksThesis, author = "Aleks Kissinger", year = "2012", title = "Pictures of Processes: Automated Graph Rewriting for Monoidal Categories and Applications to Quantum Computing", school = "University of Oxford", ) @article(KissingerCosy2012, author = "Aleks Kissinger", year = "2012", title = "Synthesising Graphical Theories", journal = "Computing Research Repository", volume = "abs/1202.6079", url = "http://arxiv.org/abs/1202.6079", ) @inproceedings(knuth-bendix, author = "Donald E. Knuth and Peter B. Bendix", year = "1970", title = "Simple word problems in universal algebras", editor = "John Leech", booktitle = "Computational problems in abstract algebra. Proceedings of a Conference held at Oxford under the auspices of the Science Research Council, Atlas Computer Laboratory, 29th August to 2nd September 1967", publisher = "Pergamon Press", pages = "263--297", ) @inproceedings(Lafont95, author = "Y. Lafont", year = "1995", title = "Equational reasoning with 2-dimensional diagrams", editor = "Hubert Comon and Jean-Pierre Jouannaud", booktitle = "Term Rewriting, French Spring School of Theoretical Computer Science, Font Romeux, France, May 17-21, 1993, Advanced Course", series = "Lecture Notes in Computer Science", volume = "909", publisher = "Springer Verlag", pages = "170--195", doi = "10.1007/3-540-59340-3\_13", ) @incollection(Penrose1971, author = "Roger Penrose", year = "1971", title = "Applications of negative dimensional tensors", booktitle = "Combinatorial mathematics and its applications. Proceedings of a Conference held at the Mathematical Institute, Oxford, from 7-10 July", publisher = "Academic Press", pages = "221--244", ) @inproceedings(Rensink2006, author = "Arend Rensink", year = "2006", title = "Nested Quantification in Graph Transformation Rules", editor = "Andrea Corradini and Hartmut Ehrig and Ugo Montanari and Leila Ribeiro and Grzegorz Rozenberg", booktitle = "Graph Transformations, Third International Conference, ICGT 2006, Natal, Rio Grande do Norte, Brazil, September 17-23, 2006, Proceedings", series = "Lecture Notes in Computer Science", volume = "4178", publisher = "Springer Verlag", pages = "1--13", doi = "10.1007/11841883\_1", ) @article(Rensink2009, author = "Arend {Rensink} and Jan-Hendrik {Kuperus}", year = "2009", title = "{Repotting the Geraniums: On Nested Graph Transformation Rules}", journal = "Electronic Communications of the European Association of Software Science and Technology", volume = "18", )