By Alan L. Selman (auth.), Alan L. Selman (eds.)
In 1965 Juris Hartmanis and Richard E. Stearns released a paper "On the Computational Complexity of Algorithms". the sector of complexity thought takes its identify from this seminal paper and lots of of the key strategies and problems with complexity thought have been brought by way of Hartmanis in next paintings. In honor of the contribution of Juris Hartmanis to the sector of complexity idea, a different consultation of invited talks by means of Richard E. Stearns, Allan Borodin and Paul younger was once held on the 3rd annual assembly of the constitution in Complexity convention, and the 1st 3 chapters of this publication are the ultimate types of those talks. They remember highbrow tendencies in Hartmanis' contributions. All yet one of many rest of the chapters during this quantity originated as a presentation at one of many contemporary conferences of the constitution in Complexity concept convention and seemed in initial shape within the convention complaints. In all, those expositions shape an exceptional description of a lot of latest complexity theory.
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Extra resources for Complexity Theory Retrospective: In Honor of Juris Hartmanis on the Occasion of His Sixtieth Birthday, July 5, 1988
Juris Hartmanis: Fundamental Contributions to Isomorphism Problems 39 Perhaps encouraged by their success with all known NP-complete sets and relying also on the obvious analogy with Myhill's recursion theoretic results, Hartmanis and Berman went on to state, ([BH- 77]), the BermanHartmanis conjecture: all NP-complete sets are isomorphic under polynomial time computable permutations. This conjecture remains open, as does the corresponding question for E and the question of whether all NPcomplete sets are pseudo p-isomorphic.
4 Sparseness, Density, Kolmogorov Complexity One test of the impact of a scientific hypothesis is the extent to which it leads to important related work. Hartmanis' work on isomorphisms, and particularly his work on the Berman-Haytmanis conjecture meets this criterion. 16 Kurtz , Mahaney, and Royer had already shown that it is possible to construct sparse oracles A relative to which EA = NpA and their various collapsing and noncollapsing degree constructions, ([KMR-86]), work to get collapsing and noncollapsing degrees which are 2-tt-complete for NpA.
Hartmanis and J. Hopcroft. An overview of the theory of computational complexity. J. Assoc. Comput. , 18:444475, 1971. [JJ74] J. Hartmanis and J. Simon. On the power of multiplication on random access machines. In Proc. IEEE 15th Symp. on Switching and Automata Theory, pages 13-23, October 1974. [JSi79] J. Simon. Division is good. In 20th Annual Symposium on Foundations of Computer Science, pages 411-420, October 1979. [KGo36] K. Godel. Uber die lange von beweisen. Ergebnisse eines mathematischen Kolloquiuns, 7:23-24, H136.