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Discrete Structure

Discrete Structure. Li Tak Sing( ??? ). From grammar to inductive definition. Consider the following grammar: S ??|aB B ?b|bB Basis: ?, ab?L(G) Induction: if ay ? L(G), then aby ? L(G). Constructing grammars. {a n |n ?N} S??|aS {a n b n |n ?N} S ??|aSb {(ab) n |n?N} S ??|abS.

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Discrete Structure

Discrete Structure. Li Tak Sing( ??? ). Chapter 4 Properties of Binary Relations. Three special properties For a binary relation R on a set A, we have the following definitions. R is reflexive if xRx for all x ?A. R is symmetric if xRy implies yRx for all x,y ?A

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Smallest reflexive relation - PowerPoint PPT Presentation

Discrete Structure

Discrete Structure