$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature

TL;DR

This paper constructs a new spectrum of recursive models for a specific strongly minimal theory that is non-disintegrated, flat, and model complete within a finite signature language.

Contribution

It introduces a novel spectrum of recursive models for a non-disintegrated, flat, strongly minimal, model complete theory in a finite language.

Findings

Constructed a new spectrum of recursive models.

Demonstrated properties of the theory: non-disintegrated, flat, model complete.

Applicable to theories in finite signature languages.

Abstract

We build a new spectrum of recursive models (SRM(T)) of a strongly minimal theory. This theory is non-disintegrated, flat, model complete, and in a language with a finite signature.