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Abstract: Well-known examples of dot operators are the existential, the counting, and the BP-operator. We
will generalize this notion of a dot operator so that every language A will determine an operator
A \Delta . In fact we will introduce the more general notion of promise dot operators for which the BPoperator
is an example. Dot operators are a refinement of the leaf language concept because the class
determined by a leaf language A equals A \Delta P. Moreover we are able to represent not only... (Update)
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BibTeX entry: (Update)
@article{ borchert01dot,
author = "Bernd Borchert and Riccardo Silvestri",
title = "Dot operators",
journal = "Theoretical Computer Science",
volume = "262",
number = "1--2",
pages = "501--523",
year = "2001",
url = "citeseer.ist.psu.edu/511330.html" }
Citations (may not include all citations):
951
Computational Complexity (context) - Papadimitriou - 1994
211
Languages that capture complexity classes
- Immerman - 1987
129
Theoretical Computer Science (context) - Stockmeyer, hierarchy - 1977
122
A comparison of polynomial time reducibilities (context) - Ladner, Lynch et al. - 1975
90
The complexity of combinatorial problems with succinct input.. (context) - Wagner - 1986
66
Structural Complexity (context) - Balcazar, Diaz et al. - 1988
58
Games against nature (context) - Papadimitriou
53
Counting classes are at least as hard as the Polynomial-Time.. (context) - Toda, Ogiwara - 1992
48
A complexity theory based on Boolean algebra (context) - Skyum, Valiant - 1985
44
The Graph Isomorphism Problem: Its Structural Complexity (context) - Kobler, Schoning et al. - 1993
43
Complete sets and the polynomial-time hierarchy (context) - Wrathall - 1977
40
Reductions on NP and P-selective sets (context) - Selman - 1982
34
A uniform approach to define complexity classes (context) - Bovet, Crescenzi et al. - 1992
34
the power of polynomial time bit-reductions (context) - Hertrampf, Lautemann et al. - 1993
34
Relativizable and nonrelativizable theorems in the polynomia..
- Vereshchagin - 1994
29
Logspace and logtime leaf languages
- Jenner, McKenzie et al. - 1994
28
unbalanced computation trees (context) - Hertrampf, Vollmer et al. - 1994
27
Complexity classes without machines: On complete languages f.. (context) - Hartmanis, Hemachandra - 1988
23
The Boolean hierarchy: hardware over NP (context) - Cai, Hemachandra - 1994
20
Probabilistic complexity classes and lowness (context) - Schoning - 1987
18
Strong nondeterministic polynomial-time reducibilities (context) - Long - 1982
12
Complexity classes defined by counting quantifiers (context) - Toran - 1991
9
Uniform characterizations of complexity classes
- Vollmer - 1999
5
Succinct representations and leaf languages
- Veith - 1996
4
th ACM Symposium on Theory of Computing (context) - Simon, Gill et al. - 1977
4
The Satanic notations: Counting classes beyond #P and other .. (context) - Hemaspaandra, Vollmer - 1995
3
th International Colloquium on Automata (context) - Sipser, the et al. - 1982
3
the limitations of locally robust positive reductions (context) - Hemachandra, Jain - 1991
2
A characterization of the leaf language classes
- Borchert, Silvestri - 1997
2
ACM Symposium on Theory of Computing (context) - Adleman, Manders et al. - 1977
2
On tally relativizations of BP-complexity classes (context) - Tang, Watanabe - 1989
2
NP is easy as detecting unique solutions (context) - Valiant, Vazirani - 1986
1
A note on complete problems for complexity classes (context) - Ambos-Spies - 1986
1
Strong and robustly strong polynomial time reducibilities to.. (context) - Gavalda, Balc'azar - 1991
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