On freedom and independence in hypergraphs of models of theories
Beibut Kulpeshov, Sergey Sudoplatov
TL;DR
This paper introduces and studies notions of freedom and independence in hypergraphs of models of theories, exploring their properties and applications to various classes of theories.
Contribution
It defines new concepts of freedom and independence in hypergraphs of models and analyzes their properties and applications to different theory classes.
Findings
Properties of the notions are characterized.
Applications to natural classes of theories are demonstrated.
Abstract
Notions of freedom and independence for hypergraphs of models of a theory are defined. Properties of these notions and their applications to some natural classes of theories are studied.
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Taxonomy
TopicsMathematical Biology Tumor Growth · Gene Regulatory Network Analysis