Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Regular algebras axiomatise the equational theory of regular expressions.  use Isabelle/HOL's automated theorem provers and counterexample generators to study the regular algebras of Boffa, Conway, Kozen and Salomaa, formalise their soundness and completeness (relative to a deep result by Krob) and engineer their hierarchy. Proofs range from fully automatic axiomatic and inductive calculations to integrated higher-order reasoning with numbers, sets and monoid submorphisms. In combination with Isabelle's simplifiers and structuring mechanisms, automated deduction provides porful support to the working mathematician beyond first-order reasoning.
['Simon J. Foster', 'Georg Struth']
I am writing a research paper on a idea Automated analysis of regular algebra
[{"from": "human", "value": "I am writing a research paper on a idea Automated analysis of regular algebra"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Regular algebras axiomatise the equational theory of regular expressions.  use Isabelle/HOL's automated theorem provers and counterexample generators to study the regular algebras of Boffa, Conway, Kozen and Salomaa, formalise their soundness and completeness (relative to a deep result by Krob) and engineer their hierarchy. Proofs range from fully automatic axiomatic and inductive calculations to integrated higher-order reasoning with numbers, sets and monoid submorphisms. In combination with Isabelle's simplifiers and structuring mechanisms, automated deduction provides porful support to the working mathematician beyond first-order reasoning."}]