
arXiv: 1908.04817
This paper continues the investigation of the logic of competing theories, be they scientific, social, political etc. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive graphs, inspired by Ploščica's representation of general lattices. We axiomatize the resulting many-valued, non-distributive modal logic of these structures and prove a completeness theorem. We illustrate the application of this logic through a case study in which we model competition among interacting political promises and social demands within an arena of political parties social groups.
24 pages
non-distributive modal logic, 03B45, 03B50, SDG 16 - Peace, 330, Graph-based semantics, Competing theories, Mathematics - Logic, Justice and Strong Institutions, 004, Non distributive modal logic, many-valued modal logic, Socio-political competition, Other applications of logic, Many-valued logic, competing theories, graph-based semantics, FOS: Mathematics, socio-political competition, Logic (math.LO), Many-valued modal logic, Modal logic (including the logic of norms)
non-distributive modal logic, 03B45, 03B50, SDG 16 - Peace, 330, Graph-based semantics, Competing theories, Mathematics - Logic, Justice and Strong Institutions, 004, Non distributive modal logic, many-valued modal logic, Socio-political competition, Other applications of logic, Many-valued logic, competing theories, graph-based semantics, FOS: Mathematics, socio-political competition, Logic (math.LO), Many-valued modal logic, Modal logic (including the logic of norms)
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