Published in: LIPIcs, Volume 299, 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)
Benoît Guillemet, Assia Mahboubi, and Matthieu Piquerez. Machine-Checked Categorical Diagrammatic Reasoning. In 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 299, pp. 7:1-7:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{guillemet_et_al:LIPIcs.FSCD.2024.7, author = {Guillemet, Beno\^{i}t and Mahboubi, Assia and Piquerez, Matthieu}, title = {{Machine-Checked Categorical Diagrammatic Reasoning}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {7:1--7:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-323-2}, ISSN = {1868-8969}, year = {2024}, volume = {299}, editor = {Rehof, Jakob}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2024.7}, URN = {urn:nbn:de:0030-drops-203363}, doi = {10.4230/LIPIcs.FSCD.2024.7}, annote = {Keywords: Interactive theorem proving, categories, diagrams, formal proof automation} }
Published in: LIPIcs, Volume 299, 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)
Nathan Corbyn, Lukas Heidemann, Nick Hu, Chiara Sarti, Calin Tataru, and Jamie Vicary. homotopy.io: A Proof Assistant for Finitely-Presented Globular n-Categories. In 9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 299, pp. 30:1-30:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{corbyn_et_al:LIPIcs.FSCD.2024.30, author = {Corbyn, Nathan and Heidemann, Lukas and Hu, Nick and Sarti, Chiara and Tataru, Calin and Vicary, Jamie}, title = {{homotopy.io: A Proof Assistant for Finitely-Presented Globular n-Categories}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {30:1--30:26}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-323-2}, ISSN = {1868-8969}, year = {2024}, volume = {299}, editor = {Rehof, Jakob}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2024.30}, URN = {urn:nbn:de:0030-drops-203594}, doi = {10.4230/LIPIcs.FSCD.2024.30}, annote = {Keywords: Higher category theory, proof assistant, string diagrams} }
Published in: LIPIcs, Volume 241, 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)
Will Simmons and Aleks Kissinger. Higher-Order Causal Theories Are Models of BV-Logic. In 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 241, pp. 80:1-80:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{simmons_et_al:LIPIcs.MFCS.2022.80, author = {Simmons, Will and Kissinger, Aleks}, title = {{Higher-Order Causal Theories Are Models of BV-Logic}}, booktitle = {47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)}, pages = {80:1--80:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-256-3}, ISSN = {1868-8969}, year = {2022}, volume = {241}, editor = {Szeider, Stefan and Ganian, Robert and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2022.80}, URN = {urn:nbn:de:0030-drops-168789}, doi = {10.4230/LIPIcs.MFCS.2022.80}, annote = {Keywords: Causality, linear logic, categorical logic, probabilistic coherence spaces, quantum channels} }
Published in: LIPIcs, Volume 232, 17th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2022)
Aleks Kissinger, John van de Wetering, and Renaud Vilmart. Classical Simulation of Quantum Circuits with Partial and Graphical Stabiliser Decompositions. In 17th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 232, pp. 5:1-5:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{kissinger_et_al:LIPIcs.TQC.2022.5, author = {Kissinger, Aleks and van de Wetering, John and Vilmart, Renaud}, title = {{Classical Simulation of Quantum Circuits with Partial and Graphical Stabiliser Decompositions}}, booktitle = {17th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2022)}, pages = {5:1--5:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-237-2}, ISSN = {1868-8969}, year = {2022}, volume = {232}, editor = {Le Gall, Fran\c{c}ois and Morimae, Tomoyuki}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2022.5}, URN = {urn:nbn:de:0030-drops-165128}, doi = {10.4230/LIPIcs.TQC.2022.5}, annote = {Keywords: ZX-calculus, Stabiliser Rank, Quantum Simulation} }
Published in: LIPIcs, Volume 229, 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)
Niel de Beaudrap, Aleks Kissinger, and John van de Wetering. Circuit Extraction for ZX-Diagrams Can Be #P-Hard. In 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 229, pp. 119:1-119:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
@InProceedings{debeaudrap_et_al:LIPIcs.ICALP.2022.119, author = {de Beaudrap, Niel and Kissinger, Aleks and van de Wetering, John}, title = {{Circuit Extraction for ZX-Diagrams Can Be #P-Hard}}, booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)}, pages = {119:1--119:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-235-8}, ISSN = {1868-8969}, year = {2022}, volume = {229}, editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2022.119}, URN = {urn:nbn:de:0030-drops-164601}, doi = {10.4230/LIPIcs.ICALP.2022.119}, annote = {Keywords: ZX-calculus, circuit extraction, quantum circuits, #P} }
Published in: LIPIcs, Volume 158, 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020)
Niel de Beaudrap, Xiaoning Bian, and Quanlong Wang. Fast and Effective Techniques for T-Count Reduction via Spider Nest Identities. In 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 158, pp. 11:1-11:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@InProceedings{debeaudrap_et_al:LIPIcs.TQC.2020.11, author = {de Beaudrap, Niel and Bian, Xiaoning and Wang, Quanlong}, title = {{Fast and Effective Techniques for T-Count Reduction via Spider Nest Identities}}, booktitle = {15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020)}, pages = {11:1--11:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-146-7}, ISSN = {1868-8969}, year = {2020}, volume = {158}, editor = {Flammia, Steven T.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2020.11}, URN = {urn:nbn:de:0030-drops-120705}, doi = {10.4230/LIPIcs.TQC.2020.11}, annote = {Keywords: T-count, Parity-phase operations, Phase gadgets, Clifford hierarchy, ZX calculus} }
Published in: LIPIcs, Volume 139, 8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)
Paweł Sobociński, Paul W. Wilson, and Fabio Zanasi. CARTOGRAPHER: A Tool for String Diagrammatic Reasoning (Tool Paper). In 8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 139, pp. 20:1-20:7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
@InProceedings{sobocinski_et_al:LIPIcs.CALCO.2019.20, author = {Soboci\'{n}ski, Pawe{\l} and Wilson, Paul W. and Zanasi, Fabio}, title = {{CARTOGRAPHER: A Tool for String Diagrammatic Reasoning}}, booktitle = {8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)}, pages = {20:1--20:7}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-120-7}, ISSN = {1868-8969}, year = {2019}, volume = {139}, editor = {Roggenbach, Markus and Sokolova, Ana}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2019.20}, URN = {urn:nbn:de:0030-drops-114482}, doi = {10.4230/LIPIcs.CALCO.2019.20}, annote = {Keywords: tool, string diagram, symmetric monoidal category, graphical reasoning} }
Published in: LIPIcs, Volume 52, 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Krzysztof Bar, Aleks Kissinger, and Jamie Vicary. Globular: An Online Proof Assistant for Higher-Dimensional Rewriting. In 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 52, pp. 34:1-34:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
@InProceedings{bar_et_al:LIPIcs.FSCD.2016.34, author = {Bar, Krzysztof and Kissinger, Aleks and Vicary, Jamie}, title = {{Globular: An Online Proof Assistant for Higher-Dimensional Rewriting}}, booktitle = {1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)}, pages = {34:1--34:11}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-010-1}, ISSN = {1868-8969}, year = {2016}, volume = {52}, editor = {Kesner, Delia and Pientka, Brigitte}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2016.34}, URN = {urn:nbn:de:0030-drops-59880}, doi = {10.4230/LIPIcs.FSCD.2016.34}, annote = {Keywords: higher category theory, higher-dimensional rewriting, interactive theorem proving} }
Published in: LIPIcs, Volume 35, 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)
Aleks Kissinger and David Quick. A First-order Logic for String Diagrams. In 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 35, pp. 171-189, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{kissinger_et_al:LIPIcs.CALCO.2015.171, author = {Kissinger, Aleks and Quick, David}, title = {{A First-order Logic for String Diagrams}}, booktitle = {6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)}, pages = {171--189}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-84-2}, ISSN = {1868-8969}, year = {2015}, volume = {35}, editor = {Moss, Lawrence S. and Sobocinski, Pawel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2015.171}, URN = {urn:nbn:de:0030-drops-55335}, doi = {10.4230/LIPIcs.CALCO.2015.171}, annote = {Keywords: string diagrams, compact closed monoidal categories, abstract tensor systems, first-order logic} }