Total Precedence Relations

Abstract
A description is given of a method of syntactical analysis based on the use of precedence relations which are defined over the whole vocabulary of the context-free grammar under investigation. These relations are defined in such a way that trial-and-error is avoided whenever possible. To the same end, the customary restriction that analysis will be left-to- right is not imposed. The results are formulated in such a way that all relations can be com- puted by simple operations on Boolean matrices. This study reveals the existence of an in- teresting subset of context-free languages, which is then compared with other well-known subsets.

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