Add to ORKGThis work analysis the so-called "Relativization Barrier" with respect to Baker-Gill-Solovay oracle Turing machine. We show that the {\it diagonalization} technique is a valid mathematical proof technique, but it has some prerequisites when referring to "Relativization barrier".Comment: V4 further made some proofs more accurate, feedbacks are welcome. arXiv admin note: substantial text overlap with arXiv:2110.06211, arXiv:2110.05942, arXiv:2106.1188
Relativization is one of the most fundamental concepts in complexity theory, which explains the diff...
Relativizations of complexity classes in which simple sets exist are considered. A recursive oracle ...
Abstract We demonstrate the applicability of the polynomial degree bound technique to notions such a...
AbstractThe prototypical results of relativized complexity theory are the theorems of Baker, Gill, a...
AbstractThe principal result of this paper is a “positive relativization” of the open question “P = ...
AbstractWhether or not P is properly included in NP is currently one of the most important open prob...
textabstractWe introduce some classical complexity-theoretic techniques to Parameterized Complexity....
Contradictory oracle results have traditionally been interpreted as giving some evidence that resolv...
AbstractThis paper introduces a technique of relativizing already relativized computations and gives...
We introduce some classical complexity-theoretic techniques to Parameterized Complexity. First, we s...
Theoretical computer scientists have been debating the role of oracles since the 1970's. This p...
This paper studies the power of three types of access to unambiguous computation: nonadaptive access...
Non-relativization of complexity issues can be interpreted as giving some evidence that these issues...
<正> Let A, B are sets. We can define the reducibility ≤_T~h by A≤_T~hB iff there-exists a poly...
I A function f is computable if there is Turing Machine which computes it. I Using Oracle Turing mac...
Relativization is one of the most fundamental concepts in complexity theory, which explains the diff...
Relativizations of complexity classes in which simple sets exist are considered. A recursive oracle ...
Abstract We demonstrate the applicability of the polynomial degree bound technique to notions such a...
AbstractThe prototypical results of relativized complexity theory are the theorems of Baker, Gill, a...
AbstractThe principal result of this paper is a “positive relativization” of the open question “P = ...
AbstractWhether or not P is properly included in NP is currently one of the most important open prob...
textabstractWe introduce some classical complexity-theoretic techniques to Parameterized Complexity....
Contradictory oracle results have traditionally been interpreted as giving some evidence that resolv...
AbstractThis paper introduces a technique of relativizing already relativized computations and gives...
We introduce some classical complexity-theoretic techniques to Parameterized Complexity. First, we s...
Theoretical computer scientists have been debating the role of oracles since the 1970's. This p...
This paper studies the power of three types of access to unambiguous computation: nonadaptive access...
Non-relativization of complexity issues can be interpreted as giving some evidence that these issues...
<正> Let A, B are sets. We can define the reducibility ≤_T~h by A≤_T~hB iff there-exists a poly...
I A function f is computable if there is Turing Machine which computes it. I Using Oracle Turing mac...
Relativization is one of the most fundamental concepts in complexity theory, which explains the diff...
Relativizations of complexity classes in which simple sets exist are considered. A recursive oracle ...
Abstract We demonstrate the applicability of the polynomial degree bound technique to notions such a...