Relations among MOD-classes
U Hertrampf - Theoretical Computer Science, 1990 - Elsevier
Mod-classes are those subclasses of P #P[1] where the deterministic polynomial time
computation consists only of checking whether the oracle answer for the input lies in a certain …
computation consists only of checking whether the oracle answer for the input lies in a certain …
[PDF][PDF] A Note on Mod and Generalised Mod Classes.
M Mahajan, NV Vinodchandran - Inf. Process. Lett., 1995 - imsc.res.in
… The results of section 5 thus give us an overall picture of the relations between the generalised
Mod classes as shown in Figure 1. Arrows denote containment, and connections tagged …
Mod classes as shown in Figure 1. Arrows denote containment, and connections tagged …
On the power of generalized MOD-classes
J Kobler, S Toda - [1993] Proceedings of the Eigth Annual …, 1993 - ieeexplore.ieee.org
On the power of generalized MOD-classes … It is an open problem whether also the classes 3
Relations among … Relations among MODclasses. Theorelical Computer Science, 74:325-328…
Relations among … Relations among MODclasses. Theorelical Computer Science, 74:325-328…
[PDF][PDF] Relationships among, and the determinant
E Allender, M Ogihara - RAIRO-Theoretical Informatics and …, 1996 - numdam.org
… Nous recherchons aussi les relations entre PL, #Lt et le déterminant, sous les notions de …
That is, the relationship between the determinant and #L is even doser than the relationship …
That is, the relationship between the determinant and #L is even doser than the relationship …
Counting classes: Thresholds, parity, mods, and fewness
R Beigel, J Gill - Theoretical Computer Science, 1992 - Elsevier
… We obtain several relationships among these classes. (Some separations relative to an oracle
… We prove closure properties and relations among these classes. (Similar results for circuit …
… We prove closure properties and relations among these classes. (Similar results for circuit …
Counting classes: Thresholds, parity, mods, and fewness
R Beigel, J Gill, U Hertramp - … on Theoretical Aspects of Computer Science, 1990 - Springer
… We prove closure properties and relations among these classes. (Similar results for circuit
complexity were stated without proof in [15].) In Section 9, these closure properties will permit …
complexity were stated without proof in [15].) In Section 9, these closure properties will permit …
[PDF][PDF] On the Power of Generalized MOD-Classes
U Electro-Comm - Citeseer
We investigate the computational power of the new counting class ModP which generalizes
the classes ModpP, p prime. We show that ModP is polynomial-time truth-table equivalent in …
the classes ModpP, p prime. We show that ModP is polynomial-time truth-table equivalent in …
[BOOK][B] A note on closure properties of logspace MOD classes
The classes MODkL for k 2 consist of those languages A, for which there exists a nondeterministic
Turing machine M working on logarithmically bounded space such that, for all inputs x, …
Turing machine M working on logarithmically bounded space such that, for all inputs x, …
Representing Boolean functions as polynomials modulo composite numbers
… From our circuit lower bounds, we can conswuct an oracle relative co which no containment
relations hold among MODmP classes, except for the relations listed in the preceding …
relations hold among MODmP classes, except for the relations listed in the preceding …
[CITATION][C] A note on closure properties of logspace MOD classes
The classes MODkL for k⩾ 2 consist of those languages A, for which there exists a nondeterministic
Turing machine M working on logarithmically bounded space such that, for all inputs …
Turing machine M working on logarithmically bounded space such that, for all inputs …