| Presentation | 1994/10/21 A Fast and Simple Algorithm for Identifying 2-Monotonic Positive Boolean Functions Kazuhisa Makino, Toshihide Ibaraki, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Consider the problem of identifying min T(f)and max F(f)of a positive(i.e.,monotone)Boolean function f,by using membership queries only,where min T(f)(max F(f))denotes the set of minimal true vectors(maximal false vectors)of f.As the existence of a polynomial total time algorithm(i.e.,polynomial time in the length of input and output)for this problem is still open,we consider here a restricted problem:given an unknown positive function f of n variables,decide whether f is 2-monotonic or not,and if f is 2- monotonic,output both min T(f)and max F(f).For this problem,we propose a simple algorithm,-which is based on the concept of maximum latency,and show that it uses O(n^2m)time and O(n^2m) queries,where m = | min T(f)| + | max F(f)|.This is an improvement over the previous two algorithms:one uses O(n^3m)time and O(n^3m) queries,and the other uses O(nm^2 + n^2m)time and O(nm)queries. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | identifying of Boolean functions / 2-monotonic positive Boolean functions / maximum latency / dualezation |
| Paper # | COMP94-46 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1994/10/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Fast and Simple Algorithm for Identifying 2-Monotonic Positive Boolean Functions |
| Sub Title (in English) | |
| Keyword(1) | identifying of Boolean functions |
| Keyword(2) | 2-monotonic positive Boolean functions |
| Keyword(3) | maximum latency |
| Keyword(4) | dualezation |
| 1st Author's Name | Kazuhisa Makino |
| 1st Author's Affiliation | Deapartment of Applied Mathematics and Physics,Faculty of Engineering,Kyoto University() |
| 2nd Author's Name | Toshihide Ibaraki |
| 2nd Author's Affiliation | Deapartment of Applied Mathematics and Physics,Faculty of Engineering,Kyoto University |
| Date | 1994/10/21 |
| Paper # | COMP94-46 |
| Volume (vol) | vol.94 |
| Number (no) | 304 |
| Page | pp.pp.- |
| #Pages | 10 |
| Date of Issue | |