Church-Rosser Thue systems and formal languages
Journal of the ACM (JACM)
Growing context-sensitive languages and Church-Rosser languages
Information and Computation
On monotonic automata with a restart operation
Journal of Automata, Languages and Combinatorics
Lookahead hierarchies of restarting automata
Journal of Automata, Languages and Combinatorics - Special issue: selected papers of the second internaional workshop on Descriptional Complexity of Automata, Grammars and Related Structures (London, Ontario, Canada, July 27-29, 2000)
On one-way auxiliary pushdown automata
Proceedings of the 3rd GI-Conference on Theoretical Computer Science
FCT '95 Proceedings of the 10th International Symposium on Fundamentals of Computation Theory
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
On the descriptional power of heads, counters, and pebbles
Theoretical Computer Science - Descriptional complexity of formal systems
Information and Computation
Restarting automata and their relations to the Chomsky hierarchy
DLT'03 Proceedings of the 7th international conference on Developments in language theory
On Stateless Deterministic Restarting Automata
SOFSEM '09 Proceedings of the 35th Conference on Current Trends in Theory and Practice of Computer Science
On restarting automata with window size one
DCFS'11 Proceedings of the 13th international conference on Descriptional complexity of formal systems
On the descriptional complexity of the window size for deterministic restarting automata
CIAA'12 Proceedings of the 17th international conference on Implementation and Application of Automata
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We investigate the descriptional complexity of deterministic restarting automata, an automaton model inspired from linguistics. Variants of deterministic and monotone restarting automata build a strict hierarchy whose top is characterized by the Church-Rosser languages and whose bottom is characterized by the deterministic context-free languages. It is shown that between nondeterministic pushdown automata and any level of the hierarchy there are savings in the size of description which cannot be bounded by any recursive function. Interestingly, the converse is also true for the Church-Rosser languages. Moreover, there are non-recursive trade-offs between the family of Church-Rosser languages and any other level of the hierarchy.