On the valuedness of finite transducers
Acta Informatica
Automatic Presentations of Structures
LCC '94 Selected Papers from the International Workshop on Logical and Computational Complexity
LICS '00 Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
Upper bounds for a theory of queues
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Ehrenfeucht--Fraïssé goes automatic for real addition
Information and Computation
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It it shown that the first-order theory of an automatic structure, whose Gaifman graph has bounded degree, is decidable in doubly exponential space (for injective automatic presentations, this holds even uniformly). Presenting an automatic structure of bounded degree whose theory is hard for 2EXPSPACE, we also prove this result to be optimal. These findings close the gap left open in [14].