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Nonconstructive Language Recognition by Finite Automata

Explore two-way automaton equipped with additional tape to receive nonconstructive help, providing solutions based on min. length of help words. Discover tight upper bound of nonconstructivity in recognizing languages using various automata models. Exciting results on nonregular languages and simulation of Turing machines with automata. Catch the poster for more insights!

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Nonconstructive Language Recognition by Finite Automata

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  1. Nonconstructive Language Recognition by Finite Automata Kaspars Balodis, Rusins Freivalds, Lauma Pretkalnina, Inga Rumkovska, Madars Virza

  2. Nonconstructive Language Recognition • Two-way automaton equipped with an additional tape where nonconstructive help (advice) is fed in • For every word length n there is a help y(n) • Given a correct help y(n) automaton should give correct answer to any word x whose length does not exceed n • Amount of nonconstructivity (minimal length of help words |y(n)|) to recognize a language L is considered

  3. Our results • Tight upper bound Θ(2n) of amount of nonconstructivity that can be needed to recognize a language • Results on multi-tape finite automata • Nonregular language that can be recognized with nonconstructivity O(ln n) on 2 tapes • A Turing machine using space f(n) can be simulated with an automaton using nonconstructivity cf(n) on 4 tapes

  4. See you at the poster! Thank you!

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