Allen, Sarah R. and Hellerstein, Lisa and Kletenik, Devorah and Ünlüyurt, Tonguç (2017) Evaluation of monotone DNF formulas. Algorithmica, 77 (3). pp. 661-685. ISSN 0178-4617 (Print) 1432-0541 (Online)
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Official URL: http://dx.doi.org/10.1007/s00453-015-0092-9
Abstract
Stochastic boolean function evaluation (SBFE) is the problem of determining the value of a given boolean function f on an unknown input x, when each bit xi of x can only be determined by paying a given associated cost ci. Further, x is drawn from a given product distribution: for each xi, Pr[xi=1]=pi and the bits are independent. The goal is to minimize the expected cost of evaluation. In this paper, we study the complexity of the SBFE problem for classes of DNF formulas. We consider both exact and approximate versions of the problem for subclasses of DNF, for arbitrary costs and product distributions, and for unit costs and/or the uniform distribution.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DNF formulas; Sequential testing; Stochastic boolean function evaluation; Approximation algorithms |
| Divisions: | Faculty of Engineering and Natural Sciences > Academic programs > Industrial Engineering Faculty of Engineering and Natural Sciences |
| Depositing User: | Tonguç Ünlüyurt |
| Date Deposited: | 20 Aug 2017 11:48 |
| Last Modified: | 26 Apr 2022 09:45 |
| URI: | https://research.sabanciuniv.edu/id/eprint/32460 |
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Evaluation of monotone DNF formulas. (deposited 05 Dec 2015 22:58)
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