Using uppercase for keywords remains in use as a convention for writing grammars for lexing and parsing tokenizing the reserved word if as the token class IF, and then representing an if-then-else clause by the phrase IF Expression THEN Statement ELSE Statement where uppercase terms are keywords and capitalized terms are nonterminal symbols in a production rule ( terminal symbols are denoted by lowercase terms, such as identifier or integer, for an integer literal ).
42.
The symbols \ alpha and \ beta represent strings of terminal and / or non-terminal symbols, and any non-terminal symbol in either must have an empty stack, by the definition of a LIG . This is, of course, counter to how IGs are defined : in an IG, the non-terminals whose stacks are not being pushed to or popped from must have exactly the same stack as the rewritten non-terminal.
43.
The symbols \ alpha and \ beta represent strings of terminal and / or non-terminal symbols, and any non-terminal symbol in either must have an empty stack, by the definition of a LIG . This is, of course, counter to how IGs are defined : in an IG, the non-terminals whose stacks are not being pushed to or popped from must have exactly the same stack as the rewritten non-terminal.
44.
An "'unrestricted grammar "'is a formal grammar G = ( N, \ Sigma, P, S ), where N is a set of nonterminal symbols, \ Sigma is a set of terminal symbols, N and \ Sigma are disjoint ( actually, this is not strictly necessary since unrestricted grammars make no real distinction between the two; the designation exists purely so that one knows when to stop generating production rules of the form \ alpha \ to \ beta where \ alpha and \ beta are strings of symbols in N \ cup \ Sigma and \ alpha is not the empty string, and S \ in N is a specially designated start symbol.
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