Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   give a new proof of the characterization of the closed fragment of the provability logic of Heyting’s Arithmetic.  also provide a characterization of the closed fragment of the provability logic of Heyting’s Arithmetic plus Markov’s Principle and Heyting’s Arithmetic plus Primitive Recursive Markov’s Principle.
['Albert Visser']
I am writing a research paper on a idea Closed fragments of provability logics of constructive theories
[{"from": "human", "value": "I am writing a research paper on a idea Closed fragments of provability logics of constructive theories"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   give a new proof of the characterization of the closed fragment of the provability logic of Heyting\u2019s Arithmetic.  also provide a characterization of the closed fragment of the provability logic of Heyting\u2019s Arithmetic plus Markov\u2019s Principle and Heyting\u2019s Arithmetic plus Primitive Recursive Markov\u2019s Principle."}]