| One-way nondeterministic real-time list-storage languages |
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Journal of the ACM (JACM)
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Volume 15 , Issue 3 (July 1968)
table of contents
Pages: 428 - 446
Year of Publication: 1968
ISSN:0004-5411
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Downloads (6 Weeks): 3, Downloads (12 Months): 21, Citation Count: 5
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ABSTRACT
A device is presented which has its memory organized as a linear list, a type of storage equivalent to having two pushdown stores. Attention is then focused on the nondeterministic automaton (called an lsa) which results when the input is read one-way and the device operates in real-time. The set of words (called a language) accepted by an lsa is extensively studied. In particular, several characterizations and closure properties of languages are given.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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Chomsky N. On certain formal properties of grammars. Inform. Contr. 2 (1959), 37-167.
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DAVIS, M. Computability and Unsolvability. McGraw-Hill, New York, 1958.
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-- AND GREIBACH, S. Abstract families of languages. SDC document TM-738/031/00.
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HAINES, L. H. Generation and recognition of formal languages. Ph.D. dissertation, M.I.T., Cambridge, Mass., June 1965.
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HARTMANIS, J., AND STEARNS, R .E . On the computational complexity of algorithms. Trans. Amer. Math. Soc. 117 (1965), 285-306.
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KUROnA, S. Y. Classes of languages and linear bounded automata. Inform. Contr. 7 (1964), 202-223.
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OETTINGER, A. G. Automatic syntactic analysis and the pushdown store. In Structure of Language and Its Mathematical Aspects, Proc. Symposia in Applied Mathematics, Vol. 12, Amer. Math. Soc., Providence, R. I., 1961, pp. 104--129.
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POST, E.L. Formal reductions of the general combinatOrial decision problem. Amer. J. Math. 6 (1943), 197-215.
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RABIN, M.O. Real-time computation. Israel J. Math. 1 (1963), 203-211.
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---- AND SCOTT, D. Finite automata and their decision problems. IBM J. Res. Develop. 3 (1959), 114-125.
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