• Publications
  • Influence
Free compact 2-categories
  • A. Preller, J. Lambek
  • Computer Science, Mathematics
  • Mathematical Structures in Computer Science
  • 1 April 2007
TLDR
We investigate the free compact 2-category generated by a given category, and describe its 2-cells as labelled transition systems. Expand
Bell States and Negative Sentences in the Distributed Model of Meaning
TLDR
We use Bell states to provide compositional distributed meaning for negative sentences of English. Expand
Linear Processing with Pregroups
  • A. Preller
  • Mathematics, Computer Science
  • Stud Logica
  • 21 November 2007
TLDR
We define a correct and complete recognition and parsing algorithm for pregroup grammars and give sufficient conditions for the algorithm to run in linear time. Expand
Toward discourse representation via pregroup grammars
  • A. Preller
  • Computer Science, Mathematics
  • J. Log. Lang. Inf.
  • 1 April 2007
TLDR
Every pregroup grammar is shown to be strongly equivalent to one which uses basic types and left and right adjoints of basic types only. Expand
Semantic Vector Models and Functional Models for Pregroup Grammars
TLDR
We show that vector space semantics and functional semantics in two-sorted first order logic are equivalent for pregroup grammars. Expand
Pregroup Grammars with Linear Parsing of the French verb phrase
TLDR
The parsing algorithm for pregroup grammars presented here exploits regularities of types of a pregroup grammar. Expand
Toward Discourse Representation via Pregroup
Every pregroup grammar is shown to be strongly equivalent to one which uses basic types and left and right adjoints of basic types only. Therefore a semantical interpretation is independent of theExpand
Semantic Pregroup Grammars Handle Long Distance Dependencies in French
TLDR
A pregroup grammar is presented which handles distant agreement of features in French, including modal verbs, relative pronouns, clitics, the compound past and the passive mode. Expand
Natural language semantics in biproduct dagger categories
  • A. Preller
  • Computer Science, Mathematics
  • J. Appl. Log.
  • 1 March 2014
TLDR
Biproduct dagger categories of finite dimensional vector spaces over the field of real numbers serve as models for natural language. Expand
Lawvere's Basic Theory of the Category of Categories
TLDR
It is long known that Lawvere's theory in The category of categories as foundations of mathematics A[1] does not work, as indicated in Ishell's review [0]. Expand
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