| Presentation | 1995/7/21 On the Oracle Entropy and the Average Case Oracle Measure of Knowledge Complexity Toshiya Itoh, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we investigate statistical and perfect Knowledge Complexity(KC) with respect to oracle entropy and average case oracle measures. As main results, we show the following : (1)for any k(n)≥1/poly(n), if a language L has perfect KC k(n)+n^<-w(1)> with respect to oracle entropy measure, then L has perfect KC k(n) with respect to average case oracle measure (Theorem 3.1) ; (2)for any k(n)≥1/poly(n), if a language L has perfect KC k(n)+n^<-w(1)> with respect to average case oracle measure, then L has perfect KC k(n) with respect to average case oracle measure (Theorem 3.2) ; (3)if a language L has statistical KC k(n)∈o(1) with respect to oracle entropy measure, then for any ∈>0, L has statistical KC k(n)+1+∈ with respect to average case oracle measure (Theorem 4.1) ; and (4) if a language L has perfect KC k(n)∈o(1) with respect to oracle entropy measure, then for any c>0, L has perfect KC k(n)+2+∈ with respect to average case oracle measure (Theorem 4.2). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Statistical KC / Perfect KC / Oracle Entropy Measure / Average Case Oracle Measure |
| Paper # | |
| Date of Issue |
| Conference Information | |
| Committee | ISEC |
|---|---|
| Conference Date | 1995/7/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Information Security (ISEC) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the Oracle Entropy and the Average Case Oracle Measure of Knowledge Complexity |
| Sub Title (in English) | |
| Keyword(1) | Statistical KC |
| Keyword(2) | Perfect KC |
| Keyword(3) | Oracle Entropy Measure |
| Keyword(4) | Average Case Oracle Measure |
| 1st Author's Name | Toshiya Itoh |
| 1st Author's Affiliation | Department of Information Processing, Tokyo Institute of Technology() |
| Date | 1995/7/21 |
| Paper # | |
| Volume (vol) | vol.95 |
| Number (no) | 172 |
| Page | pp.pp.- |
| #Pages | 17 |
| Date of Issue | |