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On the base-dependence of sets of numbers recognizable by finite automata. (English) Zbl 0179.02501


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[1] J. R. Büchi, Weak second-order arithmetic and finite automata,Z. Math. Logik Grundlagen Math. 6 (1960), 66–92. · Zbl 0103.24705
[2] J. W. S. Cassels,An Introduction to Diophantine Approximation, Cambridge University Press, 1957. · Zbl 0077.04801
[3] M. Minsky andS. Papert, Unrecognizable sets of numbers,J. Assoc. Comput. Mach. 13 (1966), 281–286. · Zbl 0166.00601
[4] M. O. Rabin andD. Scott, Finite automata and their decision problems,IBM J. Res. Develop. 3 (1959), 114–125.
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