L. Hemaspaandra and H. Vollmer. The satanic notations: Counting classes beyond # P and other de nitional adventures. SIGACT News, 26(1):2-13, 1995. 21 Home/Search Document Not in Database Summary Related Articles Check |
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Dot Operators - Borchert, Silvestri (Correct)
.... Delta . It holds RP Delta P = R. ffl A U operator could be defined as U Delta = fw j # 1 (w) 1g; fw j # 1 (w) 0g) Delta , that way it holds U Delta P = UP. Remark. We should mention that one could generalize Definitions 2.1 and 2. 2 in order to get function operators like # Delta (see [11]) Instead of taking in Definition 2.1 a language A (which can be considered to be a function from Sigma to f0; 1g) we let A be a function from Sigma to some set, for example N. For instance, if we let A be the function mapping a word w to the number of 1 s in w, then we have that A Delta ....
L. Hemaspaandra, H. Vollmer. The Satanic notations: Counting classes beyond #P and other definitional adventures, SIGACT News 26(1), 1995, pp. 2--13.
Lower Bounds and the Hardness of Counting Properties - Hemaspaandra, Thakur (2002) Self-citation (Hemaspaandra) (Correct)
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L. Hemaspaandra and H. Vollmer. The Satanic notations: Counting classes beyond #P and other definitional adventures. SIGACT News, 26(1):2--13, 1995. 20
Rice-Style Theorems for Complexity Theory - Hemaspaandra, Thakur (2001) Self-citation (Hemaspaandra) (Correct)
....set of all functions g : # # N such that there exist a language L # C and a polynomial p such that the following hold for each x # # : a) g(x) f( x ) and (b) # y y = p( x ) #x, y# L = g(x) 3. HR00] For each class let # const (#k) g # k C] 4. HV95] For each class let # few (# polynomial q) g # q C] 5. Val76] UP = # 1 g(x) 0] 6. AR88] FewP = g(x) 0] 7. CH90] Few = P P[1] i.e. the class of languages accepted by P machines that on each input are allowed at most one query to a ....
L. Hemaspaandra and H. Vollmer. The Satanic notations: Counting classes beyond #P and other definitional adventures. SIGACT News, 26(1):2--13, 1995.
On Functions and Relations - Große, Hempel (2003) (Correct)
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L. Hemaspaandra and H. Vollmer. The satanic notations: Counting classes beyond # P and other de nitional adventures. SIGACT News, 26(1):2-13, 1995. 21
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