Refinements of Restricted Higher-Order Anti-Unification for Heuristic-Driven Theory Projection

Empirical research supports the belief that structural commonalities between two domains are the main guidance for the construction of analogies. Restricted higher-order anti-unification has been shown suitable to find structural commonalties and generate mappings between domains in the symbolic analogy model Heuristic-Driven Theory Projection (HDTP). This paper will describe how to enforce and integrate restrictions on mappings between symbols from a many-to-many up to a one-to-one symbol correspondence. We will also discuss how sorts together with sortal ontologies can be incorporated into anti-unification within HDTP and thereby restrict possible mappings between domains.