Abstract
The logarithmic advice class, Full-P/log, is known to coincide with the class of languages that are polynomial time reducible to special “easy” tally sets.
We study here how different resource-bounded reducibilities retrieve information encoded in these “easy” sets and we explain the relationships between the reducibilities and the equivalence classes defined from them.
This work was done while visiting LSI at UPC, and was partially supported by the ESPRIT EC project 7141 (ALCOM II).
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References
Allender, E., Rubinstein, R.: P-printable Sets. SIAM J. Comput. 17 (1988) 1193–1202
Allender, E., Watanabe, O.: Kolmogorov Complexity and Degrees of Tally Sets. Information and Computation. 86 (1990) 160–178
Balcázar, J.L., Book, R.: Sets with Small Generalized Kolmogorov Complexity. Acta Inform. 23 (1986) 679–688
Balcázar, J.L., Díaz, J., Gabarró, J.: Structural Complexity II. EATCS Monographs on Theoretical Computer Science. Vol. 22 (1990) Springer-Verlag
Balcázar, J.L., Gavaldà, R., Siegelmann, H.T., Sontag, E.D.: Some Structural Complexity Aspects of Neural Computation. In Proceedings of Structural in Complexity Theory 8th Annual Conference. IEEE Computer Society Press (1993) 253–265
Balcázar, J.L., Hermo, M., Mayordomo, E.: Characterizations of logarithmic advice complexity classes. In Proceedings of the IFIP 12th World Computer Congress. North-Holland Vol. 1 (1992) 315–321
Book, R., Ko, K.: On Sets Truth-Table Reducible to Sparse Sets. SIAM J. Comput. 17 (1988) 903–919
Balcázar, J.L., Schöning, U.: Logarithmic Advice Classes. Theoretical Computer Science. 99 (1992) 279–290
Hermo, M.: The Structure of a Logarithmic Advice Classes. Report LSI-93-30-R, Facultad de Informática de la UPC (1993)
Hartmanis, J., Hemachandra, L.: On Sparse Sets Separating Feasible Complexity Classes. Proceedings 3rd Annual Symposium on Theoretical Aspects of Computer Science. Lecture Notes in Computer Science. 210 (1996) 321–333
Karp, R.M., Lipton, R.J.: Some Connections Between Nonuniform and Uniform Complexity Classes. In Proceedings 12th Annual Symposium on Theory of Computing. (1980) 302–309
Ko, K.: Continuous Optimization Problems and Polynomial Hierarchy of Real Functions. J. Complexity. 1 (1985) 210–231
Ko, K.: On Helping by Robust Oracle Machines that Take Advice. Theoretical Computer Science. 52 (1987) 15–36
Köbler, J.: Untersuchung verschiedener polynomieller Reduktion Klassen von NP. Diplom. thesis, Institut für InformatiK, Univ. Stuttgart. (1985)
Siegelmann, H.T., Sontag E.D.: Neural Networks with Real Weights: Analog Computational Complexity. Report SYCON 92-05, Rutgers Center for Systems and Control. To appear in Theoretical Computer Science. (1993)
Tang, S., Book, R.: Reducibilities on Tally and Sparse Sets. Theoretical Informatics and Applications 25-3 (1991) 293–302
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© 1994 Springer-Verlag Berlin Heidelberg
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Hermo, M. (1994). Degrees and reducibilities of easy tally sets. In: Prívara, I., Rovan, B., Ruzička, P. (eds) Mathematical Foundations of Computer Science 1994. MFCS 1994. Lecture Notes in Computer Science, vol 841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58338-6_87
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DOI: https://doi.org/10.1007/3-540-58338-6_87
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