Context-sensitive (Type-1) grammars

Type-1 grammars generate context-sensitive languages. These grammars have rules of the form with a nonterminal and , and strings of terminals and/or nonterminals. The strings and may be empty, but must be nonempty. The rule is allowed if does not appear on the right side of any rule. The languages described by these grammars are exactly all languages that can be recognized by a linear bounded automaton