Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Inspired by recent work on approximations of classical logic,  present a method that approximates several modal logics in a modular way. Our starting point is the limitation of the n-degree of introspection that is allod, thus generating modal n-logics. Semantics for n-logics is presented, in which formulas are evaluated with respect to paths, and not possible worlds. A tableau-based proof system is presented, n-SST, and soundness and completeness is shown for the approximation of modal logics K, T, D, S4 and S5.
['Guilherme de Souza Rabello', 'Marcelo Finger']
I am writing a research paper on a idea Approximations of Modal Logics: K and Beyond
[{"from": "human", "value": "I am writing a research paper on a idea Approximations of Modal Logics: K and Beyond"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Inspired by recent work on approximations of classical logic,  present a method that approximates several modal logics in a modular way. Our starting point is the limitation of the n-degree of introspection that is allod, thus generating modal n-logics. Semantics for n-logics is presented, in which formulas are evaluated with respect to paths, and not possible worlds. A tableau-based proof system is presented, n-SST, and soundness and completeness is shown for the approximation of modal logics K, T, D, S4 and S5."}]