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Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 4F / c / Solution

Let
(28)
Both are regular grammars and their variable sets are disjoint. Their ordinary concatenation grammar adds a new rule
(29)
This rule has two variables on its right-hand side, so it is not right-linear. Thus this is an explicit instance in which the concatenation grammar need not be regular.
Solved by gpt-5.6-sol high.

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