This article proposes a Modeling and Simulation (M&S) formalism using Model Theory. The article departs from the premise that M&S is the science that studies the nature of truth using models and simulations. Truth in models and simulations is relative as they seek to answer specific modeling questions. Consequently, truth in M&S is relative because every model is a purposeful abstraction of reality. We use Model Theory to express the proposed formalism because it is built from the premise that truth is relative. The proposed formalism allows us to: (1) deduce formal definitions and explanations of areas of study in M&S, including conceptual modeling, validity, and interoperability, and (2) gain insight into which tools can be used to semi-automate validation and interoperation processes.
Original Publication Citation
Diallo, S. Y., Padilla, J. J., Gore, R., Herencia-Zapana, H., & Tolk, A. (2014). Toward a formalism of modeling and simulation using model theory. Complexity, 19(3), 56-63. doi:10.1002/cplx.21478
Diallo, Saikou Y.; Padilla, Jose; Gore, Ross; Herencia-Zapana, Heber; and Tolk, Andreas, "Toward a Formalism of Modeling and Simulation Using Model Theory" (2014). VMASC Publications. 12.