Positive Strong Amalgamation
Mohammed Belkasmi
TL;DR
This paper introduces the concepts of positively complete theories and various forms of amalgamation within positive logic, analyzing their properties and how they behave under language modifications.
Contribution
It provides new definitions and generalizations of amalgamation and completeness in positive logic, expanding theoretical understanding in the field.
Findings
Fundamental properties of positively complete theories analyzed.
Behavior of companion theories under change of constants studied.
A general form of amalgamation and strong amalgamation discussed.
Abstract
We present the notions of positively complete theory and general forms of amalgamation in the framework of positive logic. We explore the fundamental properties of positively complete theories and study the behaviour of companion theories by a change of constants in the language. Moreover, we present a general form of amalgamation and discuss some forms of strong amalgamation.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Rings, Modules, and Algebras