Analyzing the core of categorial grammar
| Abstract | Even though residuation is at the core of Categorial Grammar (Lambek, 1958), it is not always immediate to realize how standard logical systems like Multi-modal Categorial Type Logics (MCTL) (Moortgat, 1997) actually embody this property. In this paper, we focus on the basic system NL (Lambek, 1961) and its extension with unary modalities NL(3) (Moortgat, 1996), and we spell things out by means of Display Calculi (DC) (Belnap, 1982; Gor´. | |||||||||
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