By Morris Rubinoff, Marshall C. Yovits
In view that its first quantity in 1960, Advances in pcs has offered distinctive insurance of ideas in and software program and in desktop concept, layout, and purposes. It has additionally supplied participants with a medium within which they could learn their matters in better intensity and breadth than that allowed through average magazine articles. for this reason, many articles became commonplace references that remain of important, lasting worth regardless of the fast development happening within the box.
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Extra resources for Advances in Computers, Vol. 14
We do not doubt that abstraction and generalization will play an important role in theoretical computer science. At the same time, the P = NP? question shows that this problem becomes uninteresting if generalized too far. On the other hand, it is impressive that the introduction of the classes P and N P and polynomial time reducibility revealed a beautiful unity among a wide range of combinatorial problems which had not been understood before. We believe that this case illustrates very nicely the need for finding in theoretical computer science just the right level of generality or abstraction so that one can see the unity of the field and gain generality and power in results, without allowing the essential computer science problems and the original motivation to slip out during the abstraction of the problem.
1: 1. DCSL = N D C S L iff LR* is in D C S L iff LLBA is in DCSL. 2. L in N D C S L implies L in N D C S L 3. DCSL E NP(P) - iff LLBAis in NDCSL. iff L L ~isAin N P ( P ) iff LRis in N P ( P ) . The proof is quite similar to the previous proofs that LUTand LR*are complete in PTAPE. It is interesting to note that if LLBA of LR* can be rccognized on a deterministic lba, then all nondeterministic tape computations using Li ( n ) 2 n STRUCTURE OF FEASIBLE COMPUTATIONS 29 tape can be replaced by equivalent deterministic computations using no more tape.
Theor. Comput. pp. 151-158. Cook, S. (1972). Linear time simulation of deterministic two-way pushdown automata. Injmm. Process. 71, 75-80. , and Tarjan, R. E. (1975). A combinatorial problem which is complete in polynomial space. Proc. 7th Annu. Amer. Math. Symp. Theor. Comput. pp. 66-71. Fagin, R. (1974). Generalized firsborder spectra and polynomial-time recognizable sets. fnd. Appl. -Amer. Math. )Proc. 7, 43-73. Fischer, M. , and Rabin, M. 0. (1974). Super-exponential complexity of Pressburger arithmetic.