Infinite Oracle Queries in Type-2 Machines (Extended Abstract)
Logic in Computer Science
2009-07-21 v1
Abstract
We define Oracle-Type-2-Machine capable of writing infinite oracle queries. In contrast to finite oracle queries, this extends the realm of oracle-computable functions into the discontinuous realm. Our definition is conservative; access to a computable oracle does not increase the computational power. Other models of real hypercomputation such as Ziegler's (finitely) revising computation or Type-2-Nondeterminism are shown to be special cases of Oracle-Type-2-Machines. Our approach offers an intuitive definition of the weakest machine model capable to simulate both Type-2-Machines and BSS machines.
Cite
@article{arxiv.0907.3230,
title = {Infinite Oracle Queries in Type-2 Machines (Extended Abstract)},
author = {Arno Pauly},
journal= {arXiv preprint arXiv:0907.3230},
year = {2009}
}