Work

Refining Mark Burgin’s Case against the Church–Turing Thesis

Year: 2024
Type: article
Abstract: The outputs of a Turing machine are not revealed for inputs on which the machine fails to halt. Why is an observer not allowed to see the generated output symbols as the machine operates? Building on the pioneering work of Mark Burgin, we introduce an extension of the Turing machine model with a visible output tape. As a subtle refinement to Burgin’s theory, we stipulate that the outputted symbols cannot be overwritten: at step i, the content of the output tape is a prefix of the content at step j, where i
Source: Philosophies
Institution: KU Leuven
Language: English
Open Access status: gold
Estimated APC paid: $1,591
OpenAlex ID: W4401510258
FWCI: 0.196
Cites: 29
Cited by: 1
Related to: 10