Work

Bringing closure to theory combination properties

Year: 2026

Type: preprint

Abstract: We consider the closure of three classical combination properties, namely, stable infiniteness, gentleness and shininess (or, equivalently for decidable theories, strong politeness), under intersection and combinability. We compute every possible intersection, and then compute the maximal set of theories that can be combined with each resulting intersection. We iterate this process until no new sets are identified. How many properties will we end up with?

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.30762

Authors: Toledo, Guilherme V., Przybocki, Benjamin, Zohar, Yoni

Institutions: Bar-Ilan University, Carnegie Mellon University

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7163049243

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