Abstract. The problem of linking entities in heterogeneous and decentralized data repositories is the driving force behind the data and knowledge integration effort. In this paper, we describe our probabilistic-logical alignment system CODI (Combinatorial Optimization for Data Integration). The system provides a declarative framework for the alignment of individuals, concepts, and properties of two heterogeneous ontologies. CODI leverages both logical schema information and lexical similarity measures with a well-defined semantics for A-Box and T-Box matching. The alignments are computed by solving corresponding combinatorial optimization problems. 1 Presentation of the system 1.1 State, purpose, general statement CODI (Combinatorial Optimization for Data Integration) leverages terminological structure for ontology matching. The current implementation produces mappings between concepts, properties, and individuals including mappings between object and data type properties. The system combines lexical similarity measures with schema informatio
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