
TL;DR
This paper discusses the primitive recursive quantifier elimination in the theory ACFA, establishing its decidability and exploring the concept of direct twisted Galois stratification.
Contribution
It introduces the concept of direct twisted Galois stratification and demonstrates its role in the primitive recursive decision process for ACFA.
Findings
ACFA admits primitive recursive quantifier elimination
The theory ACFA is primitive recursively decidable
Introduction of direct twisted Galois stratification
Abstract
The theory ACFA admits a primitive recursive quantifier elimination procedure. It is therefore primitive recursively decidable.
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