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Foundations and applications of montague grammar; part 1: philosophy, framework, computer science

1988
*
Journal of Computational and Applied Mathematics
*

*Foundations*and applications of

*Montague*

*grammar*; Part 1: Philosophy, framework, computer science T. M. V. ... The last chapter applies the

*Montague*

*Grammar*to programming languages. ...

##
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Page 33 of Computational Linguistics Vol. 14, Issue 4
[page]

1988
*
Computational Linguistics
*

Friedman, J. and Warren, D.S. 1978 A Parsing Method

*for**Montague**Grammars*. Linguistics and Philosophy, 347-372. ... Hamblin, C.L. 1973 Questions in*Montague*English.*Foundations*of Language 10: 41-53. ...##
###
Page 4902 of Mathematical Reviews Vol. , Issue 2003g
[page]

2003
*
Mathematical Reviews
*

In spite of these virtues, there is a residue of rational worry among some linguists about how genuinely explanatory

*Montague**Grammar*is. ... The work under review shows*Montague**Grammar*to be up to this challenge, providing a unified account of semantic phenom- ena involving coordination, plurality, and scope. ...##
###
Page 631 of Computational Linguistics Vol. 23, Issue 4
[page]

1997
*
Computational Linguistics
*

Type logics, the Curry-Howard correspondence, and resource sensitivity form the

*foundation**for*the book. ... Past the preparatory material, Chapters 3, 4, and 5 develop one of the main achievements of the book, a recasting of*Montague**grammar*into a purely lexical- ized form that dispenses with all the awkward ...##
###
Page 3004 of Mathematical Reviews Vol. , Issue 84h
[page]

1984
*
Mathematical Reviews
*

Logic

*Foundations*Math., 104, North-Holland, Amsterdam-New York, 1982. The author discusses the basic properties and assumptions of Montague’s*algebraic*approach to*grammar*. ...*Montague**grammar*. ...##
###
Page 3207 of Mathematical Reviews Vol. 58, Issue 5
[page]

1979
*
Mathematical Reviews
*

In part II we illustrate how a

*Montague*-type*grammar*can accommodate branching quantifiers. In doing this we use a simplified version of*Montague**grammar**for*the sake of facilitating exposition. ...*For*a review of this item see Zbl 336 #02039. 58 #21426 Gabbay, Dov M.; Moravosik, J. M. E. 58 #21427 Branching quantifiers, English, and*Montague*-*grammar*. Theoret. ...##
###
Page 4576 of Mathematical Reviews Vol. , Issue 82k
[page]

1982
*
Mathematical Reviews
*

of English defined by the

*grammar*of*Montague*[op. cit.]. ... Thus,*Montague*[op. cit.] also provided a precise semantical treatment of the sentences of the fragment of English defined by the*grammar*mentioned above. ...##
###
Page 4674 of Mathematical Reviews Vol. 58, Issue 6
[page]

1979
*
Mathematical Reviews
*

Graph

*grammars*serve*for*the definition of “type” and “schema”: An extension of graph Computer Science 4614*grammars*which works in a way similar to that of van Wijngaar. den*grammars*is used to define ... The starting point*for*the*algebraic*approach is to realize that the data representations together with the operations on them constitute an*algebra*. ...##
###
Attributed translation and the semantics of natural language
[chapter]

1990
*
Lecture Notes in Computer Science
*

We demonstrate that his intuition is computationally justi able, based on the

doi:10.1007/3-540-53101-7_20
fatcat:i3cgzmv3ivh4nnc2ghrbd7s7ky
*algebraic*equivalence of attribute*grammars*and Montague's theory of Universal*Grammar*. ... We nd that attribute*grammars*can be used to encode an*algebraic*speci cation of a natural language, attributed translation used to compute representations of the'meaning' of a sentence at di erent levels ... This is the same mathematical*foundation*used by*Montague*in his work on Universal*Grammar**Montague*, 1974a ] and the semantics of natural language as exempli ed by the fragment of`English'*grammar*known ...##
###
Functorial Question Answering
[article]

2019
*
arXiv
*
pre-print

Acknowledgments The authors would like to thank Bob Coecke, Dan Marsden, Antonin Delpeuch, Vincent Wang, Jacob Leygonie, Dusko Pavlovic and Samson Abramsky

arXiv:1905.07408v2
fatcat:5ry7gdoofzcafiqpyi7ighefaq
*for*inspiring discussions in the process of writing ... RL formulae play a*foundational*role in the theory of relational databases, where they correspond to conjunctive queries: the select-project-join fragment of relational*algebra*[2] and select-where-from ... In parallel to the*foundations*of database theory in terms of graph homomorphisms, the 1970s saw the development of*Montague*semantics [5, 6, 7] , where the meaning of grammatical sentences is given by ...##
###
Page 1697 of Mathematical Reviews Vol. , Issue 87d
[page]

1987
*
Mathematical Reviews
*

Summary: “A new variant of

*Montague**grammar*(MG) is pre- sented, with a highly restricted system of grammatical rules, in or- der to guarantee a more principled way of constructing*grammars**for*given fragments ... Summary: “We use the*algebraic*theory of programs, as did A. Blikle [Mathematical*foundations*of computer science, 167-213, PWN, Warsaw, 1977; MR 58 #19289] and A. ...##
###
Page 2486 of Mathematical Reviews Vol. , Issue 81G
[page]

1981
*
Mathematical Reviews
*

The papers have led to a branch of linguistics known as “

*Montague**grammar*”. ... The present paper presents an exposition*for*logicians of some of the ideas of*Montague**grammar*, together with suggestions of possible modifi- cations and éxtensions. ...##
###
Page 3768 of Mathematical Reviews Vol. , Issue 85i
[page]

1985
*
Mathematical Reviews
*

Author’s summary: “The approach adopted in the paper is based
on the theory known as

*Montague**grammar*. Accepting that the- ory in general—especialiy in its modified version, which is due to R. ... {*For*the entire collection see MR 85g:03007. } Sweet, Albert M. (1-RTG2) 85i:03085 A pragmatic theory of locally standard*grammar*. Notre Dame J. Formal Logic 25 (1984), no. 4, 364-382. ...##
###
Page 4716 of Mathematical Reviews Vol. , Issue 87i
[page]

1987
*
Mathematical Reviews
*

K. van Benthem (Amsterdam)
Buszkowski, Wojciech (PL-POZN)

*Algebraic*models of categorial*grammars*.*Foundations*of logic and linguistics (Salzburg, 1983), 403-426, Plenum, New York-London, 1985. ... This paper is concerned with the*algebraic*approach to categorial*grammars*as developed by J. Lambek [Amer. Math. ...##
###
Page 2421 of Mathematical Reviews Vol. 58, Issue 4
[page]

1979
*
Mathematical Reviews
*

{

*For*the entire collection see MR 55 #12442a.} S. Bhargava (Mysore) Stone, John David Treatments of the word ‘true’ in*Montague**grammar*. Logic and linguistics, Part I. ... Accordingly, the treat- ment of ‘true’ in*Montague**grammar*is a very important matter. ...
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