@article(AbramskyShah18, author = {Samson Abramsky and Nihil Shah}, year = {2018}, title = {Relating {{Structure}} and {{Power}}: {{Comonadic Semantics}} for {{Computational Resources}}}, journal = {arXiv:1806.09031 [cs]}, doi = {10.4230/LIPIcs.CSL.2018.2}, ) @article(BagetMugnier02, author = {J.~F. Baget and M.~L. Mugnier}, year = {2002}, title = {Extensions of {{Simple Conceptual Graphs}}: The {{Complexity}} of {{Rules}} and {{Constraints}}}, journal = {Journal of Artificial Intelligence Research}, volume = {16}, pages = {425--465}, doi = {10.1613/jair.918}, ) @article(BonchiEtAl18, author = {Filippo Bonchi and Jens Seeber and Pawel Sobocinski}, year = {2018}, title = {Graphical {{Conjunctive Queries}}}, journal = {arXiv:1804.07626 [cs]}, doi = {10.4230/LIPIcs.CSL.2018.13}, ) @article(Bulatov17, author = {Andrei~A. Bulatov}, year = {2017}, title = {A Dichotomy Theorem for Nonuniform {{CSPs}}}, journal = {arXiv:1703.03021 [cs]}, doi = {10.1109/FOCS.2017.37}, ) @article(BuszkowskiMoroz08, author = {Wojciech Buszkowski and Katarzyna Moroz}, year = {2008}, title = {Pregroup {{Grammars}} and {{Context}}-Free {{Grammars}}}, journal = {Computational Algebraic Approaches to Natural Language, Polimetrica}, volume = {121}, ) @article(CarboniWalters87, author = {A.~Carboni and R.~F.~C. Walters}, year = {1987}, title = {Cartesian Bicategories {{I}}}, journal = {Journal of Pure and Applied Algebra}, volume = {49}, number = {1}, pages = {11--32}, doi = {10.1016/0022-4049(87)90121-6}, ) @inproceedings(ChandraMerlin77, author = {Ashok~K. Chandra and Philip~M. Merlin}, year = {1977}, title = {Optimal Implementation of Conjunctive Queries in Relational Data Bases}, booktitle = {Proceedings of the Ninth Annual {{ACM}} Symposium on {{Theory}} of Computing - {{STOC}} '77}, publisher = {{ACM Press}}, address = {{Boulder, Colorado, United States}}, pages = {77--90}, doi = {10.1145/800105.803397}, ) @article(ChekuriRajaraman00, author = {Chandra Chekuri and Anand Rajaraman}, year = {2000}, title = {Conjunctive Query Containment Revisited}, journal = {Theoretical Computer Science}, pages = {19}, doi = {10.1016/S0304-3975(99)00220-0}, ) @inproceedings(ClarkEtAl08, author = {Stephen Clark and Bob Coecke and Mehrnoosh Sadrzadeh}, year = {2008}, title = {A {{Compositional Distributional Model}} of {{Meaning}}}, booktitle = {Proceedings of the {{Second Symposium}} on {{Quantum Interaction}} ({{QI}}-2008)}, pages = {133--140}, ) @incollection(ClarkEtAl10, author = {Stephen Clark and Bob Coecke and Mehrnoosh Sadrzadeh}, year = {2010}, title = {Mathematical Foundations for a Compositional Distributional Model of Meaning}, editor = {J.~{van Benthem} and M.~Moortgat and W.~Buszkowski}, booktitle = {A {{Festschrift}} for {{Jim Lambek}}}, series = {Linguistic {{Analysis}}}, volume = {36}, pages = {345--384}, url = {https://arxiv.org/abs/1003.4394}, ) @article(CoeckeEtAl18a, author = {Bob Coecke and {de Felice}, Giovanni and Dan Marsden and Alexis Toumi}, year = {2018}, title = {Towards {{Compositional Distributional Discourse Analysis}}}, journal = {Electronic Proceedings in Theoretical Computer Science}, volume = {283}, pages = {1--12}, doi = {10.4204/EPTCS.283.1}, ) @article(CoeckeEtAl18, author = {Bob Coecke and Fabrizio Genovese and Martha Lewis and Dan Marsden and Alex Toumi}, year = {2018}, title = {Generalized Relations in Linguistics \& Cognition}, journal = {Theoretical Computer Science}, doi = {10.1016/j.tcs.2018.03.008}, ) @article(FongSpivak18a, author = {Brendan Fong and David~I. Spivak}, year = {2018}, title = {Graphical {{Regular Logic}}}, journal = {arXiv:1812.05765}, url = {https://arxiv.org/abs/1812.05765}, ) @book(GareyJohnson90, author = {Michael~R. Garey and David~S. Johnson}, year = {1990}, title = {Computers and {{Intractability}}; {{A Guide}} to the {{Theory}} of {{NP}}-{{Completeness}}}, publisher = {{W. H. Freeman \& Co.}}, address = {{New York, NY, USA}}, ) @article(JoyalStreet88, author = {Andr{\'e} Joyal and Ross Street}, year = {1988}, title = {Planar Diagrams and Tensor Algebra}, ) @inproceedings(Lambek99, author = {Joachim Lambek}, year = {1999}, title = {Type {{Grammar Revisited}}}, editor = {Alain Lecomte and Fran{\c c}ois Lamarche and Guy Perrier}, booktitle = {Logical {{Aspects}} of {{Computational Linguistics}}}, publisher = {{Springer Berlin Heidelberg}}, address = {{Berlin, Heidelberg}}, pages = {1--27}, doi = {10.1016/0168-0072(94)00063-9}, ) @book(Lambek08, author = {Joachim Lambek}, year = {2008}, title = {From {{Word}} to {{Sentence}}: {{A Computational Algebraic Approach}} to {{Grammar}}}, series = {Open Access Publications}, publisher = {{Polimetrica}}, ) @inproceedings(moroz2011, author = {Katarzyna Moroz}, year = {2011}, title = {A {{Savateev}}-{{Style Parsing Algorithm}} for {{Pregroup Grammars}}}, booktitle = {Formal {{Grammar}}}, series = {Lecture {{Notes}} in {{Computer Science}}}, publisher = {{Springer}}, address = {{Berlin, Heidelberg}}, pages = {133--149}, doi = {10.1007/978-3-642-20169-1\_9}, ) @article(Patterson17, author = {Evan Patterson}, year = {2017}, title = {Knowledge {{Representation}} in {{Bicategories}} of {{Relations}}}, journal = {arXiv:1706.00526 [cs, math]}, ) @article(Preller07a, author = {Anne Preller}, year = {2007}, title = {Linear {{Processing}} with {{Pregroups}}}, journal = {Studia Logica: An International Journal for Symbolic Logic}, volume = {87}, number = {2/3}, pages = {171--197}, doi = {10.1007/s11225-007-9087-0}, ) @article(Preller14a, author = {Anne Preller}, year = {2014}, title = {From {{Logical}} to {{Distributional Models}}}, journal = {Electronic Proceedings in Theoretical Computer Science}, volume = {171}, pages = {113--131}, doi = {10.4204/EPTCS.171.11}, ) @article(Preller14, author = {Anne Preller}, year = {2014}, title = {Natural Language Semantics in Biproduct Dagger Categories}, journal = {J. Applied Logic}, volume = {12}, number = {1}, pages = {88--108}, doi = {10.1016/j.jal.2013.08.001}, ) @article(PrellerLambek07, author = {Anne Preller and Joachim Lambek}, year = {2007}, title = {Free Compact 2-Categories}, journal = {Mathematical Structures in Computer Science}, volume = {17}, number = {2}, pages = {309--340}, doi = {10.1017/S0960129506005901}, ) @article(PrellerSadrzadeh11, author = {Anne Preller and Mehrnoosh Sadrzadeh}, year = {2011}, title = {Semantic {{Vector Models}} and {{Functional Models}} for {{Pregroup Grammars}}}, journal = {Journal of Logic, Language and Information}, volume = {20}, number = {4}, pages = {419--443}, doi = {10.1007/s10849-011-9132-2}, ) @article(SadrzadehEtAl13, author = {Mehrnoosh Sadrzadeh and Stephen Clark and Bob Coecke}, year = {2013}, title = {The {{Frobenius}} Anatomy of Word Meanings {{I}}: Subject and Object Relative Pronouns}, journal = {Journal of Logic and Computation}, volume = {23}, pages = {1293--1317}, doi = {10.1093/logcom/ext044}, ) @article(SadrzadehEtAl18, author = {Mehrnoosh Sadrzadeh and Dimitri Kartsaklis and Balk\i{}r, Esma}, year = {2018}, title = {Sentence Entailment in Compositional Distributional Semantics}, journal = {Annals of Mathematics and Artificial Intelligence}, volume = {82}, number = {4}, pages = {189--218}, doi = {10.1007/s10472-017-9570-x}, ) @article(selinger2010a, author = {Peter Selinger}, year = {2009}, title = {A {{Survey}} of {{Graphical Languages}} for {{Monoidal Categories}}}, journal = {arXiv:0908.3347}, doi = {10.1007/978-3-642-12821-9_4}, ) @inproceedings(StefanoniEtAl18, author = {Giorgio Stefanoni and Boris Motik and Egor~V. Kostylev}, year = {2018}, title = {Estimating the {{Cardinality}} of {{Conjunctive Queries}} over {{RDF Data Using Graph Summarisation}}}, booktitle = {Proceedings of the 2018 {{World Wide Web Conference}} on {{World Wide Web}}, {{WWW}} 2018, {{Lyon}}, {{France}}, {{April}} 23-27, 2018}, pages = {1043--1052}, doi = {10.1145/3178876.3186003}, ) @phdthesis(Thomazo13, author = {Micha{\"e}l Thomazo}, year = {2013}, title = {Conjunctive {{Query Answering Under Existential Rules}} - {{Decidability}}, {{Complexity}}, and {{Algorithms}}}, url = {https://tel.archives-ouvertes.fr/tel-00925722}, ) @article(ZengCoecke16, author = {William Zeng and Bob Coecke}, year = {2016}, title = {Quantum {{Algorithms}} for {{Compositional Natural Language Processing}}}, journal = {Electronic Proceedings in Theoretical Computer Science}, volume = {221}, pages = {67--75}, doi = {10.4204/EPTCS.221.8}, )