Division in logspace-uniform
Andrew Chiu; George Davida; Bruce Litow
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2001)
- Volume: 35, Issue: 3, page 259-275
- ISSN: 0988-3754
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] E. Allender, M. Agrawal and S. Datta, On , , and arithmetic circuits. J. Comput. System Sci. 60 (2000) 395-421. Zbl0956.68060MR1784585
- [2] E. Allender and D.A. Mix Barrington, Uniform circuits for division: Consequences and problems (2000) allender@cs.rutgers.edu, barring@cs.umass.edu
- [3] D. Mix Barrington, N. Immerman and H. Straubing, On uniformity within . J. Comput. System Sci. 41 (1990) 274-306. Zbl0719.68023MR1079468
- [4] P. Beame, S. Cook and H. Hoover, Log depth circuits for division and related problems. SIAM J. Comput. 15 (1986) 994-1003. Zbl0619.68047MR861365
- [5] A. Bertoni, M. Goldwurm and P. Massazza, Counting problems and algebraic formal power series in noncommuting variables. Inform. Process. Lett. 34 (1990) 117-121. Zbl0695.68053MR1059975
- [6] A. Borodin, On relating time and space to size and depth. SIAM J. Comput. 6 (1977) 733-744. Zbl0366.68039MR461984
- [7] S. Cook, A taxonomy of problems with fast parallel algorithms. Inform. and Control 64 (1985) 2-22. Zbl0575.68045MR837088
- [8] G. Davida and B. Litow, Fast parallel arithmetic via modular representation. SIAM J. Comput. 20 (1991) 756-765. Zbl0736.68040MR1105936
- [9] W. Hesse, Division is in uniform . Comp. Sci., U. Mass. Amherst (2000). MR2065855
- [10] M.A. Hitz and E. Kaltofen, Integer division in residue number systems. IEEE Trans. Comput. 44 (1995) 983-989. Zbl1053.68501MR1349940
- [11] N. Immerman, Descriptive Complexity. Springer-Verlag (1999). Zbl0918.68031MR1732784
- [12] D. Knuth, The Art of Computer Programming, Vol. 2. Addison-Wesley (1969). Zbl0191.18001MR633878
- [13] C. Kruskal, L. Rudolph and M. Snir, A complexity theory of efficient parallel algorithms. Theoret. Comput. Sci. 71 (1990) 95-132. Zbl0699.68069MR1050080
- [14] B. Litow, Computing context-free grammar generating series. Inform. and Comput. (in press). Zbl1007.68085
- [15] I. Macarie, Space-efficient deterministic simulation of probabilistic automata. SIAM J. Comput. 27 (1998) 448-465. Zbl0907.68081MR1616560
- [16] J. Reif, Logarithmic depth circuits for algebraic functions. SIAM J. Comput. 15 (1986) 231-242. Zbl0611.68014MR822202
- [17] W. Ruzzo, On uniform circuit complexity. J. Comput. System Sci. 22 (1981) 365-383. Zbl0462.68013MR633540
- [18] R. Tanaka and N. Szabo, Residue Arithmetic and its Application to Computer Technology. McGraw-Hill (1968). Zbl0168.15303
- [19] H. Vollmer, Introduction to Circuit Complexity. Springer-Verlag (1999). Zbl0931.68055MR1704235
- [20] I. Wegener, The Complexity of Boolean Functions. Wiley-Teubner (1987). Zbl0623.94018MR905473