Closed Categories and Categorial Grammar. Dougherty, D. J.\ Notre Dame Journal of Formal Logic, 34(1):36--49, 1993. Paper abstract bibtex Inspired by Lambek's work on categorial grammar, we examine the proposal that the theory of biclosed monoidal categories can serve as a foundation for a formal theory of natural language. The emphasis throughout is on the derivation of the axioms for these categories from linguistic intuitions. When Montague's principle that there is a homomorphism between syntax and semantics is refined to the principle that meaning is a functor between a syntax-category and a semantics-category, the fundamental properties of biclosed categories induce a rudimentary computationally oriented theory of language.
@article{ a_ndjfl93,
title = {Closed Categories and Categorial Grammar},
author = {Daniel J.\ Dougherty},
pages = {36--49},
journal = {Notre Dame Journal of Formal Logic},
year = {1993},
volume = {34},
number = {1},
abstract = {Inspired by Lambek's work on categorial
grammar, we examine the proposal that the
theory of biclosed monoidal categories can
serve as a foundation for a formal theory of
natural language. The emphasis throughout is on
the derivation of the axioms for these
categories from linguistic intuitions. When
Montague's principle that there is a
homomorphism between syntax and semantics is
refined to the principle that meaning is a
functor between a syntax-category and a
semantics-category, the fundamental properties
of biclosed categories induce a rudimentary
computationally oriented theory of language. },
url = {ndjfl93.pdf}
}
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J.\\</span>\n\t<!-- <span class=\"bibbase_paper_year\">1993</span>. -->\n</span>\n\n\n\n<i>Notre Dame Journal of Formal Logic</i>,\n\n34(1):36--49.\n\n 1993.\n\n\n\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content\">\n \n \n <!-- <i -->\n <!-- onclick=\"javascript:log_download('dougherty-closedcategoriesandcategorialgrammar-1993', 'http://web.cs.wpi.edu/~dd/publications/ndjfl93.pdf')\">DEBUG -->\n <!-- </i> -->\n\n <a href=\"http://web.cs.wpi.edu/~dd/publications/ndjfl93.pdf\"\n onclick=\"javascript:log_download('dougherty-closedcategoriesandcategorialgrammar-1993', 'http://web.cs.wpi.edu/~dd/publications/ndjfl93.pdf')\">\n <img src=\"http://bibbase.org/img/filetypes/pdf.png\"\n\t alt=\"Closed Categories and Categorial Grammar [.pdf]\" \n\t class=\"bibbase_icon\"\n\t style=\"width: 24px; height: 24px; border: 0px; vertical-align: text-top\" ><span class=\"bibbase_icon_text\">Paper</span></a> \n \n \n \n <a href=\"javascript:showBib('a_ndjfl93')\"\n class=\"bibbase link\">\n <!-- <img src=\"http://bibbase.org/img/filetypes/bib.png\" -->\n\t<!-- alt=\"Closed Categories and Categorial Grammar [bib]\" -->\n\t<!-- class=\"bibbase_icon\" -->\n\t<!-- style=\"width: 24px; height: 24px; border: 0px; vertical-align: text-top\"><span class=\"bibbase_icon_text\">Bibtex</span> -->\n BibTeX\n <i class=\"fa fa-caret-down\"></i></a>\n \n \n \n <a class=\"bibbase_abstract_link bibbase link\"\n href=\"javascript:showAbstract('a_ndjfl93')\">\n Abstract\n <i class=\"fa fa-caret-down\"></i></a>\n \n \n \n\n \n \n \n</span>\n\n<div class=\"well well-small bibbase\" id=\"bib_a_ndjfl93\"\n style=\"display:none\">\n <pre>@article{ a_ndjfl93,\n title = {Closed Categories and Categorial Grammar},\n author = {Daniel J.\\ Dougherty},\n pages = {36--49},\n journal = {Notre Dame Journal of Formal Logic},\n year = {1993},\n volume = {34},\n number = {1},\n abstract = {Inspired by Lambek's work on categorial\n grammar, we examine the proposal that the\n theory of biclosed monoidal categories can\n serve as a foundation for a formal theory of\n natural language. The emphasis throughout is on\n the derivation of the axioms for these\n categories from linguistic intuitions. When\n Montague's principle that there is a\n homomorphism between syntax and semantics is\n refined to the principle that meaning is a\n functor between a syntax-category and a\n semantics-category, the fundamental properties\n of biclosed categories induce a rudimentary\n computationally oriented theory of language. },\n url = {ndjfl93.pdf}\n}</pre>\n</div>\n\n\n<div class=\"well well-small bibbase\" id=\"abstract_a_ndjfl93\"\n style=\"display:none\">\n Inspired by Lambek's work on categorial grammar, we examine the proposal that the theory of biclosed monoidal categories can serve as a foundation for a formal theory of natural language. The emphasis throughout is on the derivation of the axioms for these categories from linguistic intuitions. When Montague's principle that there is a homomorphism between syntax and semantics is refined to the principle that meaning is a functor between a syntax-category and a semantics-category, the fundamental properties of biclosed categories induce a rudimentary computationally oriented theory of language.\n</div>\n\n\n</div>\n","downloads":0,"bibbaseid":"dougherty-closedcategoriesandcategorialgrammar-1993","urls":{"Paper":"http://web.cs.wpi.edu/~dd/publications/ndjfl93.pdf"},"role":"author","abstract":"Inspired by Lambek's work on categorial grammar, we examine the proposal that the theory of biclosed monoidal categories can serve as a foundation for a formal theory of natural language. The emphasis throughout is on the derivation of the axioms for these categories from linguistic intuitions. 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