David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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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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Reinhard Muskens (2010). New Directions in Type-Theoretic Grammars. Journal of Logic, Language and Information 19 (2):129-136.
Yusuke Kubota & Robert Levine (2015). Against Ellipsis: Arguments for the Direct Licensing of ‘Noncanonical’ Coordinations. Linguistics and Philosophy 38 (6):521-576.
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