Finite automata and unary languages
Theoretical Computer Science
Two-way automata simulations and unary languages
Journal of Automata, Languages and Combinatorics
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Optimal Simulations between Unary Automata
SIAM Journal on Computing
Descriptional complexity of cellular automata and decidability questions
Journal of Automata, Languages and Combinatorics - Third international workshop on descriptional complexity of automata, grammars and related structures
Nondeterminism and the size of two way finite automata
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
ISTCS '95 Proceedings of the 3rd Israel Symposium on the Theory of Computing Systems (ISTCS'95)
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Non-recursive trade-offs for deterministic restarting automata
Journal of Automata, Languages and Combinatorics
Complexity of multi-head finite automata: Origins and directions
Theoretical Computer Science
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We investigate the descriptional complexity of deterministic two-way k-head finite automata (k- DHA). It is shown that between non-deterministic pushdown automata and any k-DHA, k ≥ 2, there are savings in the size of description which cannot be bounded by any recursive function. The same is true for the other end of the hierarchy. Such non-recursive trade-offs are also shown between any k-DHA, k ≥ 1, and DSPACE(log) = multi-DHA. We also address the particular case of unary languages. In general, it is possible that non-recursive trade-offs for arbitrary languages reduce to recursive trade-offs for unary languages. Here we present huge lower bounds for the unary trade-offs between non-deterministic finite automata and any k-DHA, k ≥ 2. Furthermore, several known simulation results imply the presented trade-offs for other descriptional systems, e.g., deterministic two-way finite automata with k pebbles or with k linearly bounded counters.