Abstract

Foundational relations play an important role in the ontological foundations of conceptual modeling. Their investigation has been theoretically addressed in philosophical/ontological theories, and empirically offered in foundational ontologies (FOs). FOs are comprehensive theories that model the world as top-level entities and relations. Empirically, for modelers aiming to use foundational relations without an urge for entity types, FOs seem to be complex to comprehend, comply with, and integrate in practice. And since the practice of these relations is critical for conceptual modeling tasks, we present an approach that builds a well-founded entity-type free relations theory within a first-order-logic formalization, besides large complex FOs. The theory contributes to a minimal set of foundational ontological relations (FORT) by importing extant theories (mereotopology and location) and (re-)formalizing other relations (dependence, membership, constitution, and entity-location), while no FO has compromised this set.