In Ahti Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science, vol 12169. 2020. 93413 Cham, Deutschland: pp. 445-460 (2020)

Jens Lemanski
Fernuniversität Hagen
Ludger Jansen
University of Münster
In recent years CL diagrams inspired by Lange’s Cubus Logicus have been used in various contexts of diagrammatic reasoning. However, whether CL diagrams can also be used as a formal system seemed questionable. We present a CL diagram as a formal system, which is a fragment of propositional logic. Syntax and semantics are presented separately and a variant of bitstring semantics is applied to prove soundness and completeness of the system.
Keywords Diagrammatic Representation  Visual Reasoning  Logic Diagrams  Propositional Logic  Ontology  Metalogic
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