Question

If L is a language over the alphabet S, the complement of L, written L' is the language of all strings of letters from S that are words in L.

True or False

Answer 1

The complement of a language L, written L', is the set of all strings in the alphabet S that are not in L.

Step-by-step explanation:

The statement is False. The complement of a language L, written L', is the set of all strings in the alphabet S that are not in L. In other words, L' consists of all possible strings over S that do not belong to L.

For example, let's say we have a language L over the alphabet {a, b} consisting of the words 'aa' and 'bb'. The complement of L, denoted L', would be the set of all strings over {a, b} that are not 'aa' or 'bb'. In this case, L' would include strings like 'ab', 'ba', 'aaab', 'bbba', and so on.