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\(\omega\)-computations on Turing machines. (English) Zbl 0368.68057

68Q45 Formal languages and automata
03D10 Turing machines and related notions
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[1] Buchi, J.R., On a decision method in restricted second order arithmetic, Int. congr. logic methodology and philosophy of science, (1960), Stanford, CA · Zbl 0142.24902
[2] Choueka, Y., Theories of automata on ω-tapes: A simplified approach, J. comput. systems sci., 8, 117-141, (1974) · Zbl 0292.02033
[3] Cohen, R.S.; Gold, A.Y., Theory of ω-languages; part I: characterizations of ω-context free languages, J. comput. systems sci., 15, 169-184, (1977) · Zbl 0363.68113
[4] Cohen, R.S.; Gold, A.Y., Theory of ω-languages; part II: A study of various models of ω-type generation and recognition, J. comput. systems sci., 15, 185-208, (1977) · Zbl 0363.68114
[5] Cohen, R.S.; Gold, A.Y., Ω-computations on deterministic pushdown machines, Tr 56, (1975), Computer Science Dept., Technion-IIT Haifa, J. Comput. Systems Sci. (to appear) · Zbl 0382.03025
[6] Cohen, R.S.; Gold, A.Y., On the limitations of ω-type Turing acceptors, Tr 89, (1976), Computer Science Dept., Technion-IIT Haifa
[7] Eilenberg, S., Automata, languages and machines, Vol. A, (1974), Academic Press New York · Zbl 0317.94045
[8] Hartmanis, J.; Stearns, R.E., On the computational complexity of algorithms, Trans. am. math. soc., 117, 285-306, (1965) · Zbl 0131.15404
[9] Hopcroft, E.J.; Ullman, J.D., Formal languages and their relation to automata, (1969), Addison-Wesley Reading, MA · Zbl 0196.01701
[10] Hosseley, R., Finite tree automata and ω-automata, Tr mac-102, (1972), MIT Cambridge, MA
[11] Landweber, L.H., Decision problems for ω-automata, Math. systems theory, 3, 376-384, (1969) · Zbl 0182.02402
[12] Linna, M., On ω-sets associated with context-free languages, Information and control, 31, 272-293, (1976) · Zbl 0329.68066
[13] McNaughton, R., Testing and generating infinite sequences by a finite automaton, Information and control, 9, 521-530, (1966) · Zbl 0212.33902
[14] Rabin, M.O., Decidability of second-order theories and automata on infinite trees, Trans. am. math. soc., 141, 1-35, (1969) · Zbl 0221.02031
[15] Shannon, C.E., A universal Turing machine with two internal slates, Automata studies(annals of math. studies 34), (1956), Princeton, NJ
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