HTP-Complete Rings of Rational Numbers
نویسندگان
چکیده
For a ring R, Hilbert’s Tenth Problem is the set of polynomial equations over in several variables, with solutions R. We view as an enumeration operator, mapping each W prime numbers to , which naturally viewed polynomials . It known that for almost all W, jump does not -reduce In contrast, we show every Turing degree contains such -reduction hold: these are said be HTP-complete. Continuing, derive additional results regarding impossibility decision procedure from can succeed uniformly on measure and consequences boundary sets operator case has existential definition
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ژورنال
عنوان ژورنال: Journal of Symbolic Logic
سال: 2021
ISSN: ['1943-5886', '0022-4812']
DOI: https://doi.org/10.1017/jsl.2021.96