Tighter constant-factor time hierarchies
β Scribed by Amir M. Ben-Amram
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 89 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
β¦ Synopsis
For certain computational models, a constant-factor time hierarchy theorem is known, showing that a constant-factor difference in time bounds makes a difference in problem-solving power (unlike the situation with Turing machines). In this paper we apply the classic "translational technique" (padding) to these hierarchies and show that they are tighter than indicated by the previous proofs.
π SIMILAR VOLUMES
Motivated by results on interactive proof systems we investigate an 3-V-hierarchy over P using word quantifiers as well as two types of set quantifiers. This hierarchy, which extends the (arithmetic) polynomial-time hierarchy, is called the analytic polynomial-time hierarchy. It is shown that every