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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
1 answer
51 views

Minimal DFA for Counting Distinct Symbols Modulo 3

I am seeking a minimal Deterministic Finite Automaton (DFA) that determines the number of distinct symbols in a given word, modulo 3, over an alphabet of size N. Specifically, the DFA should have the …
Avi Tal's user avatar
  • 371
4 votes
2 answers
1k views

Determining if an NFA accepts an infinite language in polynomial time

Can we determine in polynomial time if the language accepted by an NFA is infinite? The case of DFA is simple, but converting an NFA to a DFA may take exponential time. Also, I ran into this post, De …
Avi Tal's user avatar
  • 371