?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Categorical+vector+space+semantics+for+lambek+calculus+with+a+relevant+modality+(extended+abstract)&rft.creator=McPheat%2C+L&rft.creator=Sadrzadeh%2C+M&rft.creator=Wazni%2C+H&rft.creator=Wijnholds%2C+G&rft.description=We+develop+a+categorical+compositional+distributional+semantics+for+Lambek+Calculus+with+a+Relevant+Modality%2C+!L%0D%0A%E2%88%97%0D%0A%2C+which+has+a+limited+version+of+the+contraction+and+permutation+rules.+The%0D%0Acategorical+part+of+the+semantics+is+a+monoidal+biclosed+category+with+a+coalgebra+modality+as+defined+on+Differential+Categories.+We+instantiate+this+category+to+finite+dimensional+vector+spaces+and%0D%0Alinear+maps+via+%E2%80%9Cquantisation%E2%80%9D+functors+and+work+with+three+concrete+interpretations+of+the+coalgebra+modality.+We+apply+the+model+to+construct+categorical+and+concrete+semantic+interpretations+for%0D%0Athe+motivating+example+of+!L%0D%0A%E2%88%97%0D%0A%3A+the+derivation+of+a+phrase+with+a+parasitic+gap.+The+effectiveness+of%0D%0Athe+concrete+interpretations+are+evaluated+via+a+disambiguation+task%2C+on+an+extension+of+a+sentence%0D%0Adisambiguation+dataset+to+parasitic+gap+phrases%2C+using+BERT%2C+Word2Vec%2C+and+FastText+vectors+and%0D%0ARelational+tensors&rft.publisher=EPTCS&rft.contributor=Spivak%2C+D&rft.contributor=Vicary%2C+J&rft.date=2021-02-08&rft.type=Proceedings+paper&rft.language=eng&rft.source=+++++In%3A+Spivak%2C+D+and+Vicary%2C+J%2C+(eds.)+EPTCS+333+Proceedings+of+the+3rd+Annual+International+Applied+Category+Theory+Conference+2020.++(pp.+pp.+168-182).++EPTCS%3A+Cambridge%2C+MA%2C+USA.+(2021)+++++&rft.format=text&rft.identifier=https%3A%2F%2Fdiscovery.ucl.ac.uk%2Fid%2Feprint%2F10122601%2F1%2F2101.10486v1.pdf&rft.identifier=https%3A%2F%2Fdiscovery.ucl.ac.uk%2Fid%2Feprint%2F10122601%2F&rft.rights=open