By Morris Rubinoff, Marshall C. Yovits
Given that its first quantity in 1960, Advances in desktops has awarded targeted assurance of suggestions in and software program and in computing device idea, layout, and functions. It has additionally supplied members with a medium within which they could research their matters in larger intensity and breadth than that allowed through commonplace magazine articles. consequently, many articles became ordinary references that remain of important, lasting worth regardless of the fast development occurring within the box.
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Extra info for Advances in Computers, Vol. 14
1: P T A P E 2 NPTIME-MRAM. 2: PTIME-MRAM 2 P T A P E . c have that deterministic and nondeterministic polynomial time computations are the same. 3: PTAPE = NPTAPE. 2 actually imply that P T A P E 2 NPTIME-MRAM and that P T I M E - M R A M 2 NPTAPE. 1. 33 STRUCTURE OF FEASIBLE CONPUTATIONS Supposc the M R A M M opcratcs in timc nk,wherr n is the length of the input. Our Tm simulator T will write out in one of its tapes a guess for the srquence of operations exccuted by M in its accepting computation and check that the scquencc is corrcct.
Howrvrr, by using a symbol table, a t a cost of a squaring of thc running time, n e may assume that a machine operating in timc t uses only its first t registers. It is clear that in that case r may be written down in polynomial tapc. Now Ict us describe F I N D and prove that it operates in polynomial tapr. Informally, F I N D works as follows: FIND(r, b, 0 ) is casily computed given the input. We shall argue inductively. F I N D ( r , b, 1 ) will be computed from previous values of FIND-clearly the only interesting case is when r was altered in the previous mow.
Amer. Math. )Proc. 7, 43-73. Fischer, M. , and Rabin, M. 0. (1974). Super-exponential complexity of Pressburger arithmetic. Ind. Appl. -Amer. Math. )Proc. 7, 2 7 4 1 . Garey, M. , Johnson, D. , and Stockmeyer, L. (1974). Some simplified NP-complete problems. Proc. 7th Annu. Ass. Comput. Mach. Symp. Theor. Comput. pp. 47-63. Greibach, 8. (1973). The hardest context-free language. Ind. Appl. Math. J. Cornput. 2,304-310. , and Hopcroft, J. E. (1971). An overview of the theory of computational complexity.
Advances in Computers, Vol. 14 by Morris Rubinoff, Marshall C. Yovits