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  1. Type Logical Grammar: Categorial Logic of Signs.G. V. Morrill - 1994 - Dordrecht, Netherland: Springer.
    This is not quite the book I originally intended to write. Since I first felt that linguistic application of categorial grammar merited a system atic presentation, I have been subject to a series of demanding technical and foundational distractions. Inspite of a prej udice that mathematical elegance was even inconsistent with linguistic practicality, repeated illumination of the latter by the former implied a new perspective on the field, one prompting formal innovation, and some re-examination of methods and goals. This piece (...)
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  • Continuations and Natural Language.Chris Barker & Chung-Chieh Shan - 2014 - Oxford University Press.
    This book takes concepts developed by researchers in theoretical computer science and adapts and applies them to the study of natural language meaning. Summarizing over a decade of research, Chris Barker and Chung-chieh Shan put forward the Continuation Hypothesis: that the meaning of a natural language expression can depend on its own continuation.
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  • Logical Form: Its Structure and Derivation.Robert May - 1985 - MIT Press.
    Chapter. 1. Logical. Form. as. a. Level. of. Linguistic. Representation. What is the relation of a sentence's syntactic form to its logical form? This issue has been of central concern in modern inquiry into the semantic properties of natural ...
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  • Quantification.Anna Szabolcsi - 2010 - Cambridge University Press.
    This book surveys research in quantification starting with the foundational work in the 1970s. It paints a vivid picture of generalized quantifiers and Boolean semantics. It explains how the discovery of diverse scope behavior in the 1990s transformed the view of quantification, and how the study of the internal composition of quantifiers has become central in recent years. It presents different approaches to the same problems, and links modern logic and formal semantics to advances in generative syntax. A unique feature (...)
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  • Type-Logical Semantics.Bob Carpenter - 1997 - MIT Press.
    The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material.
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  • Compositionality as an Empirical Problem.David Dowty - 2007 - In Chris Barker & Pauline I. Jacobson (eds.), Direct Compositionality. Oxford University Press. pp. 14--23.
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  • Parasitic Scope.Chris Barker - 2007 - Linguistics and Philosophy 30 (4):407-444.
    I propose the first strictly compositional semantic account of same. New data, including especially NP-internal uses such as two men with the same name, suggests that same in its basic use is a quantificational element taking scope over nominals. Given type-lifting as a generally available mechanism, I show that this follows naturally from the fact that same is an adjective. Independently-motivated assumptions extend the analysis to standard examples such as Anna and Bill read the same book via a mechanism I (...)
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  • Phrase Structure Parsing and the Island Constraints.Janet Dean Fodor - 1983 - Linguistics and Philosophy 6 (2):163 - 223.
  • The Mathematics of Sentence Structure.Joachim Lambek - 1958 - Journal of Symbolic Logic 65 (3):154-170.
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  • Categorial Grammar and Lexical-Functional Grammar.Reinhard Muskens - 2001 - In Miriam Butt & Tracey Holloway King (eds.), Proceedings of the LFG01 Conference, University of Hong Kong. Stanford, CA: CSLI Publications. pp. 259-279.
    This paper introduces λ-grammar, a form of categorial grammar that has much in common with LFG. Like other forms of categorial grammar, λ-grammars are multi-dimensional and their components are combined in a strictly parallel fashion. Grammatical representations are combined with the help of linear combinators, closed pure λ-terms in which each abstractor binds exactly one variable. Mathematically this is equivalent to employing linear logic, in use in LFG for semantic composition, but the method seems more practicable.
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  • Language, Lambdas, and Logic.Reinhard Muskens - 2003 - In R. Oehrle & J. Kruijff (eds.), Resource Sensitivity, Binding, and Anaphora (Studies in Linguistics and Philosophy 80). Dordrecht: Kluwer Academic Publishers. pp. 23--54.
    The paper develops Lambda Grammars, a form of categorial grammar that, unlike other categorial formalisms, is non-directional. Linguistic signs are represented as sequences of lambda terms and are combined with the help of linear combinators.
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  • Separating Syntax and Combinatorics in Categorial Grammar.Reinhard Muskens - 2007 - Research on Language and Computation 5 (3):267-285.
    The ‘syntax’ and ‘combinatorics’ of my title are what Curry (1961) referred to as phenogrammatics and tectogrammatics respectively. Tectogrammatics is concerned with the abstract combinatorial structure of the grammar and directly informs semantics, while phenogrammatics deals with concrete operations on syntactic data structures such as trees or strings. In a series of previous papers (Muskens, 2001a; Muskens, 2001b; Muskens, 2003) I have argued for an architecture of the grammar in which finite sequences of lambda terms are the basic data structures, (...)
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  • Categorial Type Logics.Michael Moortgat - 1997 - In J. van Benthem & A. ter Meulen (eds.), Handbook of Logic and Language. Elsevier.
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  • Linearization-Based Word-Part Ellipsis.Rui P. Chaves - 2008 - Linguistics and Philosophy 31 (3):261-307.
    This paper addresses a phenomenon in which certain word-parts can be omitted. The evidence shows that the full range of data cannot be captured by a sublexical analysis, since the phenomena can be observed both in phrasal and in lexical environments. It is argued that a form of deletion is involved, and that the phenomena—lexical or otherwise—are subject to the same phonological, semantic, and syntactic constraints. In the formalization that is proposed, all of the above constraints are cast in a (...)
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  • The Displacement Calculus.Glyn Morrill, Oriol Valentín & Mario Fadda - 2011 - Journal of Logic, Language and Information 20 (1):1-48.
    If all dependent expressions were adjacent some variety of immediate constituent analysis would suffice for grammar, but syntactic and semantic mismatches are characteristic of natural language; indeed this is a, or the, central problem in grammar. Logical categorial grammar reduces grammar to logic: an expression is well-formed if and only if an associated sequent is a theorem of a categorial logic. The paradigmatic categorial logic is the Lambek calculus, but being a logic of concatenation the Lambek calculus can only capture (...)
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  • Gapping as Constituent Coordination.Mark J. Steedman - 1990 - Linguistics and Philosophy 13 (2):207 - 263.
  • Natural Languages and Context-Free Languages.Geoffrey K. Pullum & Gerald Gazdar - 1980 - Linguistics and Philosophy 4 (4):471 - 504.
    Notice that this paper has not claimed that all natural languages are CFL's. What it has shown is that every published argument purporting to demonstrate the non-context-freeness of some natural language is invalid, either formally or empirically or both.18 Whether non-context-free characteristics can be found in the stringset of some natural language remains an open question, just as it was a quarter century ago.Whether the question is ultimately answered in the negative or the affirmative, there will be interesting further questions (...)
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  • Term-Labeled Categorial Type Systems.Richard T. Oehrle - 1994 - Linguistics and Philosophy 17 (6):633 - 678.
  • Beyond the Frege Boundary.Edward L. Keenan - 1992 - Linguistics and Philosophy 15 (2):199-221.
    In sentences like Every teacher laughed we think of every teacher as a unary (=type (1)) quantifier - it expresses a property of one place predicate denotations. In variable binding terms, unary quantifiers bind one variable. Two applications of unary quantifiers, as in the interpretation of No student likes every teacher, determine a binary (= type (2)) quantifier; they express properties of two place predicate denotations. In variable binding terms they bind two variables. We call a binary quantifier Fregean (or (...)
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  • The Semantics of Respective Readings, Conjunction, and Filler-Gap Dependencies.Jean Mark Gawron & Andrew Kehler - 2004 - Linguistics and Philosophy 27 (2):169-207.
    We provide a semantic analysis of respective readings, including butnot limited to the interpretation of examples containing the adverbrespectively, which accounts for a number of facts that haveeither proven difficult for previous studies or heretofore goneunnoticed in the literature. The analysis introduces the new notionsof property sum and proposition sum which integrate smoothly with existing analyses of plurals and distributivity. The analysis also admits of a straightforward account of previouslyunacknowledged examples involving filler-gap dependencies that areproblematic for contemporary syntactic theories. Ramifications (...)
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  • Same and Different: Some Consequences for Syntax and Semantics. [REVIEW]Greg N. Carlson - 1987 - Linguistics and Philosophy 10 (4):531 - 565.
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  • On the Order of Words.Anthony E. Ades & Mark J. Steedman - 1982 - Linguistics and Philosophy 4 (4):517 - 558.
    There is no doubt that the model presented here is incomplete. Many important categories, particularly negation and the adverbials, have been entirely ignored, and the treatment of Tense and the affixes is certainly inadequate. It also remains to be seen how the many constructions that have been ignored here are to be accommodated within the framework that has been outlined. However, the fact that a standard categorial lexicon, plus the four rule schemata, seems to come close to exhaustively specifying the (...)
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  • The Proper Treatment of Quantification in Ordinary English.Richard Montague - 1974 - In Richmond H. Thomason (ed.), Formal Philosophy. Yale University Press.
  • Limits to Attention: A Cognitive Theory of Island Phenomena.Paul Deane - 1991 - Cognitive Linguistics 2 (1):1-64.
  • Few Dogs Eat Whiskas or Cats Alpo.Kyle Johnson - unknown
    One of the interests in the Gapping construction is the headache it causes for those trying to get constituency structure right. On the assumption that Gapping, like other processes of sentence grammar, respects constituency, it is very hard to deliver the right constituents in cases such as (1). (1) a. Some consider him honest and others consider him pleasant. b. The faculty brought scotch to the party and the students brought beer to the party. c. The girls occasionally ate peanuts (...)
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  • Reciprocal Expressions and the Concept of Reciprocity.Mary Dalrymple, Makoto Kanazawa, Yookyung Kim, Sam McHombo & Stanley Peters - 1998 - Linguistics and Philosophy 21 (2):159-210.
  • Conjunction Meets Negation: A Study in Cross‐Linguistic Variation.Anna Szabolcsi & Bill Haddican - 2004 - Journal of Semantics 21 (3):219-249.
    The central topic of this inquiry is a cross-linguistic contrast in the interaction of conjunction and negation. In Hungarian (Russian, Serbian, Italian, Japanese), in contrast to English (German), negated definite conjunctions are naturally and exclusively interpreted as `neither’. It is proposed that Hungarian-type languages conjunctions simply replicate the behavior of plurals, their closest semantic relatives. More puzzling is why English-type languages present a different range of interpretations. By teasing out finer distinctions in focus on connectives, syntactic structure, and context, the (...)
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  • Some Logical Aspects of Grammatical Structure.Haskell B. Curry - 1960 - Journal of Symbolic Logic 25 (4):341-341.
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  • On the Order of Words.Anthony E. Ades - 1980 - Linguistics and Philosophy 4:517.