Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the notion of a parametrized family (H)p)p∈P of hybrid systems, and consider questions of reachability in the systems Hp as the parameter p ranges over P. Under the assumption of a uniform (as p ranges over P) finite bound on the number of discrete transitions associated to the individual systems Hp, the notion of reachability is first-order (in the sense of mathematical logic) and uniform in the parameter p. Techniques from logic can then be used to analyze computational questions associated to the family of systems.
['Gerardo Lafferriere', 'Christopher L. Miller']
I am writing a research paper on a idea Uniform Reachability Algorithms
[{"from": "human", "value": "I am writing a research paper on a idea Uniform Reachability Algorithms"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the notion of a parametrized family (H)p)p\u2208P of hybrid systems, and consider questions of reachability in the systems Hp as the parameter p ranges over P. Under the assumption of a uniform (as p ranges over P) finite bound on the number of discrete transitions associated to the individual systems Hp, the notion of reachability is first-order (in the sense of mathematical logic) and uniform in the parameter p. Techniques from logic can then be used to analyze computational questions associated to the family of systems."}]