Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In the algebraic approach to CSP (Constraint Satisfaction Problem), the complexity of constraint languages is studied using closure operations called polymorphisms. Many of these operations are known to induce tractability of any language they preserve.  focus on the meta-problem: given a language Γ, decide if Γ has a polymorphism with nice properties.  design an algorithm that decides in polynomial-time if a constraint language has a conservative Mal'tsev polymorphism, and outputs one if one exists. As a corollary  obtain that the class of conservative Mal'tsev constraints is uniformly tractable, and  conjecture that this result remains true in the non-conservative case.
['Clément Carbonnel']
I am writing a research paper on a idea The meta-problem for conservative Mal'tsev constraints
[{"from": "human", "value": "I am writing a research paper on a idea The meta-problem for conservative Mal'tsev constraints"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In the algebraic approach to CSP (Constraint Satisfaction Problem), the complexity of constraint languages is studied using closure operations called polymorphisms. Many of these operations are known to induce tractability of any language they preserve.  focus on the meta-problem: given a language \u0393, decide if \u0393 has a polymorphism with nice properties.  design an algorithm that decides in polynomial-time if a constraint language has a conservative Mal'tsev polymorphism, and outputs one if one exists. As a corollary  obtain that the class of conservative Mal'tsev constraints is uniformly tractable, and  conjecture that this result remains true in the non-conservative case."}]