@book(axler1997linear, author = {Sheldon Axler}, year = {1997}, title = {Linear algebra done right}, publisher = {Springer Science \& Business Media}, doi = {10.1007/b97662}, ) @article(bankova2019graded, author = {Dea Bankova and Bob Coecke and Martha Lewis and Dan Marsden}, year = {2019}, title = {Graded hyponymy for compositional distributional semantics}, journal = {Journal of Language Modelling}, volume = {6}, number = {2}, pages = {225--260}, doi = {10.15398/jlm.v6i2.230}, ) @article(coecke2020meaning, author = {Bob Coecke and Konstantinos Meichanetzidis}, year = {2020}, title = {Meaning updating of density matrices}, journal = {Journal of Applied Logics}, volume = {7}, number = {5}, ) @incollection(coecke2000operational, author = {Bob Coecke and David Moore and Alexander Wilce}, year = {2000}, title = {Operational quantum logic: An overview}, booktitle = {Current research in operational quantum logic}, publisher = {Springer}, pages = {1--36}, doi = {10.1007/978-94-017-1201-9}, ) @article(coecke2010mathematical, 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 36(1--4)}, pages = {345--384}, ) @article(correia2020density, author = {Adriana~D. Correia and Michael Moortgat and Henk~T.C. Stoof}, year = {2020}, title = {Density matrices with metric for derivational ambiguity}, journal = {Journal of Applied Logics}, volume = {7}, number = {5}, ) @article(greco2019vector, author = {Giuseppe Greco and Fei Liang and Michael Moortgat and Alessandra Palmigiano}, year = {2020}, title = {Vector spaces as Kripke frames}, journal = {Journal of Applied Logics}, volume = {7}, number = {5}, ) @book(griffiths2018introduction, author = {David~J. Griffiths and Darrell~F. Schroeter}, year = {2018}, title = {Introduction to quantum mechanics}, publisher = {Cambridge University Press}, doi = {10.1017/9781316995433}, ) @incollection(KurtoMM, author = {N.~Kurtonina and M.~Moortgat}, year = {1997}, title = {Structural Control}, editor = {P.~Blackburn and M.~de~Rijke}, booktitle = {Specifying Syntactic Structures}, publisher = {CSLI}, address = {Stanford}, pages = {75--113}, ) @article(lambek1958mathematics, author = {Joachim Lambek}, year = {1958}, title = {The mathematics of sentence structure}, journal = {The American Mathematical Monthly}, volume = {65}, number = {3}, pages = {154--170}, doi = {10.1080/00029890.1958.11989160}, ) @incollection(Lam61, author = {Joachim Lambek}, year = {1961}, title = {On the calculus of syntactic types}, editor = {Roman Jakobson}, booktitle = {Structure of Language and its Mathematical Aspects}, series = {Proceedings of Symposia in Applied Mathematics}, volume = {XII}, publisher = {American Mathematical Society}, pages = {166--178}, doi = {10.1090/psapm/012/9972}, ) @article(MontagueUG, author = {Richard Montague}, year = {1970}, title = {Universal grammar}, journal = {Theoria}, volume = {36}, number = {3}, pages = {373--398}, doi = {10.1111/j.1755-2567.1970.tb00434.x}, ) @article(mmjolli, author = {Michael Moortgat}, year = {1996}, title = {Multimodal Linguistic Inference}, journal = {Journal of Logic, Language and Information}, volume = {5}, number = {3/4}, pages = {349--385}, doi = {10.1007/BF00159344}, ) @article(moortgat2019frobenius, author = {Michael Moortgat and Mehrnoosh Sadrzadeh and Gijs Wijnholds}, year = {2020}, title = {A {F}robenius Algebraic Analysis for Parasitic Gaps}, journal = {Journal of Applied Logics}, volume = {7}, number = {5}, pages = {823--852}, ) @article(moortgat2017lexical, author = {Michael Moortgat and Gijs Wijnholds}, year = {2017}, title = {Lexical and derivational meaning in vector-based models of relativisation}, journal = {arXiv:\href{https://arxiv.org/abs/1711.11513}{1711.11513} }, ) @book(nielsen2002quantum, author = {Michael~A Nielsen and Isaac Chuang}, year = {2002}, title = {Quantum computation and quantum information}, publisher = {Cambridge University Press}, ) @article(piedeleuopen, author = {Robin Piedeleu and Dimitri Kartsaklis and Bob Coecke and Mehrnoosh Sadrzadeh}, year = {2015}, title = {Open System Categorical Quantum Semantics in Natural Language Processing}, journal = {6th International Conference on Algebra and Coalgebra in Computer Science (CALCO\IeC{\textquoteright}15). Ed: Larry Moss and Pawe\begingroup\let \relax\relax \endgroup[Pleaseinsert\PrerenderUnicode{ł}intopreamble] Soboci\begingroup\let \relax\relax \endgroup[Pleaseinsert\PrerenderUnicode{ń}intopreamble]ski}, pages = {267\IeC{\textendash}286}, doi = {10.4230/LIPIcs.CALCO.2015.267}, ) @article(DBLP:journals/amai/SadrzadehKB18, author = {Mehrnoosh Sadrzadeh and Dimitri Kartsaklis and Esma Balkir}, year = {2018}, title = {Sentence entailment in compositional distributional semantics}, journal = {Ann. Math. Artif. Intell.}, volume = {82}, number = {4}, pages = {189--218}, doi = {10.1162/coli.2006.32.3.379}, ) @inproceedings(wansing1992, author = {Heinrich Wansing}, year = {1992}, title = {Formulas-as-types for a hierarchy of sublogics of intuitionistic propositional logic}, editor = {David Pearce and Heinrich Wansing}, booktitle = {Nonclassical Logics and Information Processing}, publisher = {Springer Berlin Heidelberg}, pages = {125--145}, doi = {10.1007/BFb0031928}, )