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Communication for alternating machines. (English) Zbl 0769.68022
Properties of a model of parallel computation generalizing the concept of alternation (the so-called synchronized alternation) is investigated and several results are obtained. The model supports a simple form of communications (via states) among parallel processes. It seems to be a useful tool for investigating both nondeterminism and parallelism.

MSC:
68Q05 Models of computation (Turing machines, etc.) (MSC2010)
68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)
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[1] AHU74 Aho, A.V., Hopcroft, J.E., Ullman, J.D.: The design and analysis of computer algorithms. Reading, MA: Addison-Wesley 1974 · Zbl 0326.68005
[2] CKS81 Chandra, A.K., Kozen, D.C., Stockmeyer, L.J.: Alternation. J. ACM28, 114-133 (1981) · Zbl 0473.68043
[3] Gin75 Ginsburg, S.: Algebraic and automata-theoretic properties of formal languages. North Holland, Amsterdam: North Holland 1975
[4] HU69 Hopcroft, J.E., Ullman, J.D.: Formal languages and their relation to automata. Reading, MA: Addison-Wesley 1969 · Zbl 0196.01701
[5] Hr85 Hromkovi?, J.: On the power of alternation in automata theory. J. Comput. Syst. Sci.31, 28-39 (1985) · Zbl 0582.68018
[6] Hr86a Hromkovi?, J.: How to organize the communication among parallel processes in alternating computations. (Unpublished manuscript, January 1986)
[7] Hr86b Hromkovi?, J.: Tradeoffs for language recognition on alternating machines. Theor. Comput. Sci.63, 203-221 (1989) · Zbl 0667.68060
[8] HIRSTW Hromkovi? J., Inoue K., Rovan B., Slobodová A., Takanami I., Wagner K.: On the power of one-way synchronized alternating machines with small space. Int. J. Foundat. Comput. Sci. (to appear) · Zbl 0769.68030
[9] HKRS Hromkovi? J., Karhumäki J., Rovan B., Slobodová A.: On the power of synchronization in parallel computations. Discrete Appl. Math.32, 155-182 (1991) · Zbl 0734.68036
[10] IT91 Ibarra O.H., Tran N.Q.: On space-bounded synchronized alternating Turing machines. Proc. 8th FCT ’91 (Lect. Notes Comput. Sci., Vol. 529, pp. 248-257) Berlin Heidelberg New York: Springer 1991 · Zbl 0925.03183
[11] IT92 Ibarra O.H., Tran N.Q.: New results concerning synchronized finite automata (accepted for ICALP ’92)
[12] Kin81 King, K.N.: Alternating multihead finite automata. Proc. 8th ICALP’81. (Lect. Notes Comput. Sci., Vol. 115, pp. 506-520) Berlin Heidelberg New York: Springer 1981
[13] LLS84 Ladner, R.J., Lipton, R.J., Stockmeyer, L.J.: Alternating pushdown and stack automata. SIAM J. Comput.13, 135-155 (1984) · Zbl 0538.68039
[14] Min61 Minsky, M.L.: Recursive unsolvability of Post’s problem of ?Tag? and other topics in the theory of Turing machines. Ann. Math.74, 437-455 (1961) · Zbl 0105.00802
[15] PPR80 Paul, W.J., Prauss, E.J., Reischuk, R.: On alternation. Acta Inf.14, 243-255 (1980) · Zbl 0437.68025
[16] Slo87 Slobodová, A.: On the power of communication in alternating computations. Student Research Paper Competition, Section Computer Science, Comenius University, Bratislava, April 1987 (in Slovak)
[17] Slo88 Slobodová, A.: On the power of communication in alternating machines. MFCS’88 (Lect. Notes Comput. Sci., Vol. 324, pp. 518-528). Berlin Heidelberg New York: Springer 1988
[18] Slo92 Slobodová, A.: Some properties of space-bounded synchronized alternating Turing machines with universal states only. Theor. Comput. Sci.96, 411-419 (1992) · Zbl 0754.68047
[19] Slo90 Slobodová, A.: One-way globally deterministic synchronized alternating finite automata recognize exactly deterministic context-sensitive languages. Inf. Process. Lett.36, 69-72 (1990) · Zbl 0704.68068
[20] Sud75 Sudborough, I.H.: On tape-bounded complexity classes. J. Comput. System Sci.10, 62-76 (1975) · Zbl 0299.68031
[21] VEB88 van Emde Boas, P.: The second machine class 2, an encyclopedic view on the Parallel computation thesis. In: Rasiowa, H. (ed.) Mathematical problems in computational theory. (Banach Center Publications, Vol. 21, pp. 235-256). Warsaw: PWN-Polish Scientific Publishers 1988 · Zbl 0760.68027
[22] WW86 Wagner, K., Wechsung, G.: Computational complexity. (Mathematische Monographien 19) Berlin: Deutscher Verlag der Wissenschaften 1986
[23] Wie89 Wiedermann J.: On the power of synchronization. J. Inf. Process. Cybern. Elk25 (10), 499-506 (1989) · Zbl 0689.68074
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