@inproceedings{10.4204/eptcs.372.24, title = "A Graphical Calculus for Lagrangian Relations", author = "Cole Comfort and Aleks Kissinger", year = "2022", url = "https://arxiv.org/pdf/2105.06244", doi = "10.4204/eptcs.372.24", } @misc{beaudrap2020tensor, title = "Tensor Network Rewriting Strategies for Satisfiability and Counting", author = "Niel de Beaudrap and Aleks Kissinger and Konstantinos Meichanetzidis", year = "2020", url = "https://arxiv.org/abs/2004.06455", } @inproceedings{jacobs2019causalstrings, title = "Causal Inference by String Diagram Surgery", author = "Bart Jacobs and Aleks Kissinger and Fabio Zanasi", year = "2019", booktitle = "Proceedings of the 22nd International Conference on Foundations of Software Science and Computation Structures (FoSSaCS)", } @article{kissinger2019mbqc, title = "Universal MBQC with generalised parity-phase interactions and Pauli measurements", author = "Aleks Kissinger and John van de Wetering", year = "2019", journal = "Quantum", pages = "134", volume = "3", } @article{kissinger2019causalstructurejournal, title = "A categorical semantics for causal structure (extended version)", author = "Aleks Kissinger and Sander Uijlen", year = "2019", journal = "Logical Methods in Computer Science (LMCS)", number = "3", publisher = "Springer", volume = "15", } @inproceedings{backens2018zh, title = "ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity", author = "Miriam Backens and Aleks Kissinger", year = "2018", booktitle = "Proceedings of the 15th Annual conference in Quantum Physics and Logic (QPL)", } @inproceedings{bonchi2018rewritemodulo, title = "Rewriting with Frobenius", author = "Filippo Bonchi and Fabio Gadducci and Aleks Kissinger and Pawe\l{} Soboci\'{n}ski, Fabio Zanasi", year = "2018", booktitle = "Proceedings of the 32nd Annual ACM/IEEE symposium on Logic in Computer Science (LICS)", } @inproceedings{bonchi2017rewriteconf, title = "Confluence of graph rewriting with interfaces", author = "Filippo Bonchi and Fabio Gadducci and Aleks Kissinger and Pawe\l{} Soboci\'{n}ski, Fabio Zanasi", year = "2017", booktitle = "Proceedings of the 26th European Symposium on Programming (ESOP)", } @inproceedings{kissinger2017causalstructure, title = "A categorical semantics for causal structure", author = "Aleks Kissinger and Sander Uijlen", year = "2017", booktitle = "Proceedings of the 32nd Annual ACM/IEEE symposium on Logic in Computer Science (LICS)", } @incollection{coecke2016generalised, title = "Generalised Compositional Theories and Diagrammatic Reasoning", author = "Bob Coecke and Ross Duncan and Aleks Kissinger and and Quanlong Wang", year = "2016", booktitle = "Quantum Theory: Informational Foundations and Foils", publisher = "Springer", series = "Fundamental Theories of Physics", volume = "181", } @incollection{coecke2015cqm1, title = "Categorical Quantum Mechanics I: Causal Quantum Processes", author = "Bob Coecke and Aleks Kissinger", year = "2016", booktitle = "Categories for the Working Philosopher", publisher = "Oxford University Press", } @article{coecke2015cqm2, title = "Categorical Quantum Mechanics II: Classical-Quantum Interaction", author = "Bob Coecke and Aleks Kissinger", year = "2016", journal = "International Jounal of Quantum Information", number = "4", publisher = "World Scientific", volume = "14", } @inproceedings{kissinger2015noncomjournal, title = "Tensors, !-graphs, and non-commutative quantum structures (extended version)", author = "Aleks Kissinger and David Quick", year = "2016", booktitle = "Next Generation Computing 34(1). Springer/Ohmsha", } @inproceedings{globular, title = "Globular: an online proof assistant for higher-dimensional rewriting", author = "Krzysztof Bar and Aleks Kissinger and Jamie Vicary", year = "2016", booktitle = "Proceedings of the 1st International Conference on Formal Structures for Computation and Deduction (FSCD)", } @inproceedings{kissinger2017indef, title = "Picturing Indefinite Causal Structure", author = "Aleks Kissinger and Sander Uijlen", year = "2016", booktitle = "Proceedings of the 13th Annual conference in Quantum Physics and Logic (QPL).", } @inproceedings{bonchi2016rewritesmc, title = "Rewriting modulo symmetric monoidal structure", author = "Filippo Bonchi and Fabio Gadducci and Aleks Kissinger and Pawe\l{} Soboci\'{n}ski, Fabio Zanasi", year = "2016", booktitle = "Proceedings of the 31st Annual ACM/IEEE symposium on Logic in Computer Science (LICS)", } @inproceedings{kssinger2015cfbangbox, title = "!-Graphs with trivial overlap are context-free", author = "Aleks Kissinger and Vladimir Zamdzhiev", year = "2015", booktitle = "Proceedings of Graphs as Models (GaM), workshop at ETAPS", } @inproceedings{quantomatic, title = "Quantomatic: A proof assistant for diagrammatic reasoning", author = "Aleks Kissinger and Vladimir Zamdzhiev", year = "2015", booktitle = "Proceedings of the 25th International Conference on Automated Deduction (CADE)", } @inproceedings{kissinger2015cfequations, title = "Equational reasoning with context-free families of string diagrams", author = "Aleks Kissinger and Vladimir Zamdzhiev", year = "2015", booktitle = "Proceedings of the International Conference on Graph Transformation (ICGT)", } @inproceedings{kissinger2015banglogic, title = "A first-order logic for string diagrams", author = "Aleks Kissinger and David Quick", year = "2015", booktitle = "Proceedings of the 6th Conference on Algebra and Coalgebra (CALCO)", } @inproceedings{coecke2014cpstarjournal, title = "Categories of Quantum and Classical Channels", author = "Bob Coecke and Chris Heunen and Aleks Kissinger", year = "2014", booktitle = "Quantum Information Processing, Springer", } @inproceedings{grov2014tinker, title = "Tinker, Tailor, Solver, Proof", author = "Gudmund Grov and Aleks Kissinger and and Yuhui Lin", year = "2014", booktitle = "Proceedings of User Interfaces for Theorem Proving (UITP), workshop at FLoC, Vienna Summer of Logic", } @inproceedings{kissinger2014noncom, title = "Tensors, !-graphs, and non-commutative quantum structures", author = "Aleks Kissinger and David Quick", year = "2014", booktitle = "Proceedings of the 11th workshop on Quantum Physics and Logic (QPL)", } @incollection{coecke2013logic, title = "Compositional Quantum Logic", author = "Bob Coecke and Chris Heunen and Aleks Kissinger", year = "2013", booktitle = "Computation, Logic, Games, and Quantum Foundations: The Many Facets of Samson Abramsky", publisher = "Springer", series = "Lecture Notes in Computer Science (LNCS)", volume = "7860", } @incollection{kissinger2013tensor, title = "Abstract Tensor Systems as Monoidal Categories", author = "Aleks Kissinger", year = "2013", booktitle = "Categories and Types in Logic, Language, and Physics, Essays dedicated to Jim Lambek on the Occasion of this 90th Birthday", publisher = "Springer", series = "Lecture Notes in Computer Science (LNCS)", volume = "8222", } @inproceedings{grov2013psgraph, title = "A Graphical Language for Proof Strategies", author = "Gudmund Grov and Aleks Kissinger and and Yuhui Lin", year = "2013", booktitle = "Proceedings of the 19th International Conference of Logic for Programming, Artificial Intelligence, and Reasoning (LPAR)", publisher = "Springer", series = "Lecture Notes in Computer Science", volume = "8312", } @inproceedings{heunen2013cpproj, title = "Completely Positive Projections and Biproducts", author = "Chris Heunen and Aleks Kissinger and Peter Selinger", year = "2013", booktitle = "Proceedings of the 10th workshop on Quantum Physics and Logic (QPL)", } @inproceedings{coecke2012strongcomp, title = "Strong Complementarity and Non-locality in Categorical Quantum Mechanics", author = "Bob Coecke and Ross Duncan and Aleks Kissinger and Quanlong Wang", year = "2012", booktitle = "Proceedings of the 27th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)", } @inproceedings{kissinger2012cosy, title = "Synthesising Graphical Theories", author = "Aleks Kissinger", year = "2012", booktitle = "Proceedings of the workshop on Automated Theory eXploration (ATX)", } @inproceedings{merry2012bangbox, title = "Pattern Graph Rewrite Systems", author = "Alex Merry and Aleks Kissinger and Matvey Soloviev", year = "2012", booktitle = "Proceedings of the 8th workshop on Developments in Computational Models (DCM)", } @inproceedings{coecke2012cpstar, title = "Categories of Quantum and Classical Channels (extended abstract)", author = "Bob Coecke and Chris Heunen and Aleks Kissinger", year = "2012", booktitle = "Proceedings of the 9th workshop on Quantum Physics and Logic (QPL)", } @misc{AleksThesis, title = "Pictures of Processes: Automated Graph Rewriting for Monoidal Categories and Applications to Quantum Computing", author = "Kissinger, A.", year = "2012", note = "DPhil Thesis, Oxford University", } @inproceedings{dixon2010open1, title = "Open Graphs and Computational Reasoning", author = "Lucas Dixon and Ross Duncan and and Aleks Kissinger", year = "2010", booktitle = "Proceedings of the 6th workshop on Developments in Computational Models", series = "Electronic Proceedings in Theoretical Computer Science (EPTCS)", volume = "26", } @article{dixon2010open2, title = "Open Graphs and Monoidal Theories", author = "Lucas Dixon and Aleks Kissinger", year = "2010", journal = "Mathematical Structures in Computer Science", number = "sp. issue 2", volume = "23", } @inproceedings{coecke2010ghzw, title = "The Compositional Structure of Multipartite Quantum Entanglement", author = "Bob Coecke and Aleks Kissinger", year = "2010", booktitle = "Proceedings of the 37th International Colloquium on Automata, Languages, and Programming (ICALP)", publisher = "Springer", series = "LNCS/ARCoSS", volume = "6199", } @inproceedings{coecke2010rational, title = "The GHZ/W-Calculus Contains Rational Arithmetic", author = "Bob Coecke and Aleks Kissinger and Alex Merry and and Shibdas Roy", year = "2010", booktitle = "Proceedings of the CSR Workshop on High Productivity Computations", } @inproceedings{kissinger2019explore, title = "Exploring a Quantum Theory with Graph Rewriting and Computer Algebra", author = "Aleks Kissinger", year = "2009", booktitle = "Proceedings of Calculemus", publisher = "Springer", series = "LNCS/LNAI", volume = "5625", } @mastersthesis{KissingerThesis2008, title = "Graph Rewrite Systems for Classical Structures in Dagger-Symmetric Monoidal Categories", author = "Aleks Kissinger", year = "2008", school = "Oxford University", }