Decidability of the existential theory of the set of natural numbers with order, divisibility, power functions, power predicates, and constants

Author:
Véronique Terrier

Journal:
Proc. Amer. Math. Soc. **114** (1992), 809-816

MSC:
Primary 03B25; Secondary 03F30

DOI:
https://doi.org/10.1090/S0002-9939-1992-1072092-6

MathSciNet review:
1072092

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Abstract | References | Similar Articles | Additional Information

Abstract: We construct an algorithm to test if a system of conditions of the types , and has a solution in natural numbers. (, and denotes the set .)

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1992-1072092-6

Keywords:
Decision problems in arithmetic,
decidability

Article copyright:
© Copyright 1992
American Mathematical Society