A Dictionary of Grammatical Terms in Linguistics
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/ n. The characteristic of a grammar formulated in terms of the X-bar system in which every non-terminal node of the form Xn has a daughter of the form Xn−1.
Succession is widely assumed to be a desirable characteristic, but it is violated in one way or another in nearly every published analysis involving the X-bar system: such familiar rules as 
and 
are inconsistent with succession. Kornai and Pullum (1990) use the term ‘Weak Succession’ for the condition that every non-terminal of the form Xn should have a daughter of the form Xm, where m is less than or equal to n. Kornai and Pullum (1990).
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