Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a new procedure for testing satisfiability (over the reals) of a conjunction of polynomial equations. There are three possible return values for our procedure: it either returns a model for the input formula, or it says that the input is unsatisfiable, or it fails because the applicability condition for the procedure, called the eigen-condition, is violated. For the class of constraints where the eigen-condition holds, our procedure is a decision procedure.  describe satisfiability-preserving transformations that can potentially convert problems into a form where eigen-condition holds.  experimentally evaluate the procedure on constraints generated by template-based verification and synthesis procedures.
['Ashish Tiwari', 'Patrick Lincoln']
I am writing a research paper on a idea A search-based procedure for nonlinear real arithmetic
[{"from": "human", "value": "I am writing a research paper on a idea A search-based procedure for nonlinear real arithmetic"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a new procedure for testing satisfiability (over the reals) of a conjunction of polynomial equations. There are three possible return values for our procedure: it either returns a model for the input formula, or it says that the input is unsatisfiable, or it fails because the applicability condition for the procedure, called the eigen-condition, is violated. For the class of constraints where the eigen-condition holds, our procedure is a decision procedure.  describe satisfiability-preserving transformations that can potentially convert problems into a form where eigen-condition holds.  experimentally evaluate the procedure on constraints generated by template-based verification and synthesis procedures."}]