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Questions about finite automata, an elementary automaton model with finite memory. It is equivalent to regular languages and the basis for many more complex models.

2 votes
2 answers
2k views

p constant in pumping lemma for regular languages

We have a language $L = \{ a^{n^{2}}, n < 12\}$ We have to find minimum constant P for pumping lemma. What does p represent here? I thought p in pumping lemma represent number of states , yet the r …
trolkura's user avatar
  • 179
1 vote
2 answers
2k views

A context-free grammar for a language of strings with occurrence properties?

Creating a context-free grammar for the language $L_1 = \{ 0^{n} 1 ^{m} \mid m,n \in \mathbb{N} \wedge m \equiv n \mod 3\}$ is quite easy. A grammar is $$ S \rightarrow \epsilon \mid 0A $$ $$ …
trolkura's user avatar
  • 179
0 votes
0 answers
35 views

Regular language is generated by clear grammar

Given a regular language , how could we prove that it is alsways ( or can be always ) generated by clear grammar ( such as that for every sentence exists only one derivation tree ). Could we prove it …
trolkura's user avatar
  • 179