UNIFORM HALTING PROBLEM FOR GENERALIZED ONE-STATE TURING MACHINES

被引:2
作者
HERMAN, GT
机构
[1] IBM (U.K.) Ltd., Education Centre, Greenford, Middlesex England
来源
INFORMATION AND CONTROL | 1969年 / 15卷 / 04期
关键词
D O I
10.1016/S0019-9958(69)90472-0
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
It is shown that the uniform halting problem for one-state Turing machines is solvable. It remains solvable for various generalizations like one-state Turing machines with two-dimensional tape and jumping reading head. Other generalizations, for example, one-state Turing machines with two tapes, have an unsolvable uniform halting problem. The history of the problem is summarized. © 1969 Academic Press, Inc.
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页码:353 / &
相关论文
共 9 条
[1]   SOLVABILITY OF HALTING PROBLEM FOR 2-STATE POST MACHINES [J].
AANDERAA, S ;
FISCHER, PC .
JOURNAL OF THE ACM, 1967, 14 (04) :677-&
[2]   ON FORMALISMS FOR TURING MACHINES [J].
FISCHER, PC .
JOURNAL OF THE ACM, 1965, 12 (04) :570-&
[3]   UNSOLVABILITY OF UNIFORM HALTING PROBLEM FOR 2 STATE TURING MACHINES [J].
HERMAN, GT .
JOURNAL OF SYMBOLIC LOGIC, 1969, 34 (02) :161-&
[4]   HALTING PROBLEM OF ONE STATE TURING MACHINES WITH N-DIMENSIONAL TAPE [J].
HERMAN, GT .
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1968, 14 (02) :185-&
[5]  
HERMAN GT, IN PRESS
[6]   UNDECIDABILITY OF TURING MACHINE IMMORTALITY PROBLEM [J].
HOOPER, PK .
JOURNAL OF SYMBOLIC LOGIC, 1966, 31 (02) :219-&
[7]  
Hunter J., 1964, NUMBER THEORY
[8]  
Minsky M., 1967, COMPUTATION FINITE I
[9]  
SHANNON CE, 1965, AUTOMATA STUDIES, P157