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* Definition: **Fold-over** (`^^`) is a tree manipulation annotation used in [[Tear-Insert-Fold grammars|Tear-Insert-Fold grammar]] and [[Tear-Fold grammars|Tear-Fold grammar]]. The node corresponding to `x^^` replaces its parent node, and its siblings are added to its children.
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* Definition: **Fold-under** (`^`) is a tree manipulation annotation used in [[Tear-Insert-Fold grammars|Tear-Insert-Fold grammar]] and [[Tear-Fold grammars|Tear-Fold grammar]]. The node corresponding to `x^` is deleted, and its children become children of its parent.
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* Definition: **Insert** (`[]`) is a tree manipulation annotation used in [[Tear-Insert-Fold grammars|Tear-Insert-Fold grammar]]. In `a [x] b`, the parser parses `ab`, and the subtree corresponding to `x` is inserted between `a` and `b`.
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* Definition: **Tear-Fold grammar** (TF-grammar) is a [[context-free grammar]], where symbols are allowed to have [[tear]], [[fold-under]] and [[fold-over]] annotations.
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* Definition: **Tear-Insert-Fold grammar** or **Tear-Insertion-Fold grammar** (TIF-grammar) is a [[context-free grammar]], where symbols are allowed to have [[tear]], [[insert]], [[fold-under]] and [[fold-over]] annotations.
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* Definition: **Tear** (`^^^`) is a tree manipulation annotation used in [[Tear-Insert-Fold grammars|Tear-Insert-Fold grammar]] and [[Tear-Fold grammars|Tear-Fold grammar]]. The node corresponding to `x^^^` is deleted together with its children.
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