1. This grammar uses recursive rules to handle repeated math operators. 2. Many mathematical axioms are based upon recursive rules . 3. Such a grammar would generate the recursive rules . 4. However, left-recursive rules can always be rewritten to eliminate left-recursion. 5. A term is either an atomic term, or constructed by the following recursive rule . 6. Grammars for complete languages use recursive rules to handle lists, parenthesized expressions and nested statements. 7. Grammars for complete languages use recursive rules to handle lists, parenthesized expressions, and nested statements. 8. By this base case and recursive rule , one can generate the set of all natural numbers. 9. A recognition algorithm that accommodates ambiguous grammars with direct left-recursive rules is described by Frost and Hafiz in 2006. 10. The process of rewriting " indirectly " left-recursive rules is complex in some packrat parsers, especially when semantic actions are involved.