Title
Dot operators
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· . In fact, we will introduce the more general notion of promise dot operators for which the BP-operator is an example. Dot operators are a refinement of the leaf language concept because the class determined by a leaf language A equals A · P . Moreover, we are able to represent not only classes but reducibilities, in fact most of the known polynomial-time reducibilities can be represented by dot operators. We show that two languages determine the same dot operator if and only if they are reducible to each other by polylog-time computable monotone projections.
Year
DOI
Venue
2001
10.1016/S0304-3975(00)00323-6
Theor. Comput. Sci.
DocType
Volume
Issue
Journal
262
1-2
ISSN
Citations 
PageRank 
Theoretical Computer Science
1
0.35
References 
Authors
24
2
Name
Order
Citations
PageRank
Bernd Borchert110910.58
Riccardo Silvestri2132490.84