• Computer Science > Artificial Intelligence [Submitted on 16 Feb 2026] Title:da Costa and Tarski meet Goguen and Carnap: a novel approach for ontological heterogeneity based on consequence systems View PDF HTML (experimental)Abstract:This paper presents a novel approach for ontological heterogeneity that draws heavily from Carnapian-Goguenism, as presented by Kutz, Mossakowski and Lücke (2010). • The approach is provisionally designated da Costian-Tarskianism, named after da Costa’s Principle of Tolerance in Mathematics and after Alfred Tarski’s work on the concept of a consequence operator. • The approach is based on the machinery of consequence systems, as developed by Carnielli et al. • (2008) and Citkin and Muravitsky (2022), and it introduces the idea of an extended consequence system, which is a consequence system extended with ontological axioms. • The paper also defines the concept of an extended development graph, which is a graph structure that allows ontologies to be related via morphisms of extended consequence systems, and additionally via other operations such as fibring and splitting. • Finally, we discuss the implications of this approach for the field of applied ontology and suggest directions for future research.

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  • Computer Science > Artificial Intelligence [Submitted on 16 Feb 2026] Title:da Costa and Tarski meet Goguen and Carnap: a novel approach for ontological heterogeneity based on consequence systems View PDF HTML (experimental)Abstract:This paper presents a novel approach for ontological heterogeneity that draws heavily from Carnapian-Goguenism, as presented by Kutz, Mossakowski and Lücke (2010). The approach is provisionally designated da Costian-Tarskianism, named after da Costa’s Principle of Tolerance in Mathematics and after Alfred Tarski’s work on the concept of a consequence operator. The

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