Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Paper
Decidability of second-order theories and automata on infinite trees
Abstract
In this paper we solve the decision problem of a certain second- order mathematical theory and apply it to obtain a large number of decidability results. The method of solution involves the development of a theory of automata on infinite trees—a chapter in combinatorial mathematics which may be of independent interest.
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