ID/LP rules

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Generalized Phrase Structure Grammar (GPSG) uses ID-rules (immediate dominance rules) and LP-rules (linear precedence rules) instead of context-free phrase structure rules to describe hierarchical and sequential aspects of linguistic units separately.

Example

A context-free phrase structure rule can be interpreted as a well-formedness condition for local trees. A rule like X <math>\rightarrow</math> <math>Y_1</math> <math>Y_2</math> ... <math>Y_n</math> licences exactly one tree. This tree is characterised by two facts: (i). The root labelled <math>X</math> (directly) dominates the nodes labelled <math>Y_1</math> ... <math>Y_n</math> and (ii). The node labelled <math>Y_i </math> precedes node <math>Y_{i+1}</math> (for i = 1, ... n-1).

An ID-rule X <math>\rightarrow</math> <math>Y_1,</math> <math>Y_2,</math> ..., <math>Y_n </math> on the other hand, licences all trees in which X dominates the other categories, no matter in which order these categories appear. An LP-rule restrains the set of local trees licenced by an ID-rule: Each tree which violates the LP-rule is disregarded.

Comment

Replacing contextfree rules by ID- and LP-rules was motivated by the idea that by this division of labor it is possible to state important generalization concerning the word order (constituent order) for a given natural language explicitly.

Each ID/LP-syntax can be converted into a strongly equivalent context-free phrase structure syntax. As the linear restrictions expressed by LP-rules are interpreted globally (no local tree licenced by any ID-rule may violate any of the LP-rules), there are context-free grammars which can not be converted into a strongly equivalent ID/LP-grammar (though into a weakly equivalent ID/LP-syntax).

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