By Morris Rubinoff, Marshall C. Yovits
Due to the fact that its first quantity in 1960, Advances in pcs has awarded unique assurance of thoughts in and software program and in desktop thought, layout, and functions. It has additionally supplied individuals with a medium during which they could research their matters in larger intensity and breadth than that allowed through general magazine articles. for this reason, many articles became normal references that remain of vital, lasting worth regardless of the swift progress happening within the box.
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Extra info for Advances in Computers, Vol. 14
Comput. pp. 122-134. Pressburger, M. (1930). tfber die Vollstandigkeit eines gewissen Systems der Arithmetik ganzer ZaNen, in welchem die Addition als einzige Operation hervortritt. C . R. Congr. Math. Pays Slues, lst, 1930 pp. 92-101. Rangel, J. L. (1974). The equivalence problem for regular expressions over one letter alphabet is elementary. IEEE Conf. Rec. 15th Symp.
C , t o denote set membership. The weak monadic second-order theory of one successor has the two predicates [x = S(y)] ( o r s = y + 1) and [y E XI with the usual interpretation. It was shown to be decidable b y Buchi (1960) and Biichi and Elgot (1959). We shall abbreviate the theory by WSlS, and the set of sentences of its language by LSIS. 12: Let M be a Tm which, started with any sentence of Lsls on its tape, eventually halts in a designated halting state iff the sentence is true. Then, for any k 2.
54-65. Karp, R. (1972). Reducibilities among combinatorial problems. I n “Complexity of Computer Computations” (R. Miller and J. ), pp. 85-104. Plenum, New York. Kuroda, S. Y. (1964). Classes of languages and linear bounded automata. Inform. Contr. 3, 207-223. Landweber, P. S. (1963). Three theorems on phrase structure grammars of type 1. Inform. Contr. 2 , 131-136. , and Yamada, H. (1964). Regular expressions and state graphs. In “Sequential Machines: Selected Papers” (E. F. ), pp. 157-175. Addison-Wesley, Reading, Massachusetts.