Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract#R##N##R##N#Let ∃n denote the set of all formulas ∃x1…∃xn[P(x1, …,xn) = 0], where P is a polynomial with integer coefficients.  prove a new relation-combining theorem from which it follows that if ∃n is undecidable over N, then ∃2n+2 is undecidable over Z.
['Zhi-Wei Sun']
I am writing a research paper on a idea ANEW RELATION-COMBINING THEOREM AND ITS APPLICATION
[{"from": "human", "value": "I am writing a research paper on a idea ANEW RELATION-COMBINING THEOREM AND ITS APPLICATION"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract#R##N##R##N#Let \u2203n denote the set of all formulas \u2203x1\u2026\u2203xn[P(x1, \u2026,xn) = 0], where P is a polynomial with integer coefficients.  prove a new relation-combining theorem from which it follows that if \u2203n is undecidable over N, then \u22032n+2 is undecidable over Z."}]