Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ak probabilistic bisimulation on probabilistic automata can be decided by an algorithm that needs to check a polynomial number of linear programming problems encoding ak transitions. It is hence of polynomial complexity.  discusses the specific complexity class of the ak probabilistic bisimulation problem, and it considers several practical algorithms and linear programming problem transformations that enable an efficient solution.  then discuss two different implementations of a probabilistic automata ak probabilistic bisimulation minimizer, one of them employing SAT modulo linear arithmetic as the solver technology. Empirical results demonstrate the effectiveness of the minimization approach on standard benchmarks, also highlighting the benefits of compositional minimization.
['Luis María Ferrer Fioriti', 'Vahid Hashemi', 'Holger Hermanns', 'Andrea Turrini']
I am writing a research paper on a idea Deciding probabilistic automata weak bisimulation: theory and practice
[{"from": "human", "value": "I am writing a research paper on a idea Deciding probabilistic automata weak bisimulation: theory and practice"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ak probabilistic bisimulation on probabilistic automata can be decided by an algorithm that needs to check a polynomial number of linear programming problems encoding ak transitions. It is hence of polynomial complexity.  discusses the specific complexity class of the ak probabilistic bisimulation problem, and it considers several practical algorithms and linear programming problem transformations that enable an efficient solution.  then discuss two different implementations of a probabilistic automata ak probabilistic bisimulation minimizer, one of them employing SAT modulo linear arithmetic as the solver technology. Empirical results demonstrate the effectiveness of the minimization approach on standard benchmarks, also highlighting the benefits of compositional minimization."}]