Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Covariant-contravariant simulation and conformance simulation generalize plain simulation and try to capture the fact that it is not always the case that "the larger the number of behaviors, the better".  have previously studied their logical characterizations and in this paper  present the axiomatizations of the preorders defined by the new simulation relations and their induced equivalences. The interest of our results lies in the fact that the axiomatizations help us to know the new simulations better, understanding in particular the role of the contravariant characteristics and their interplay with the covariant ones; moreover, the axiomatizations provide us with a porful tool to (algebraically) prove results of the corresponding semantics. But  also consider our results interesting from a metatheoretical point of view: the fact that the covariant-contravariant simulation equivalence is indeed ground axiomatizable when there is no action that exhibits both a covariant and a contravariant behaviour, but becomes non-axiomatizable whenever  have together actions of that kind and either covariant or contravariant actions, offers us a new subtle example of the narrow border separating axiomatizable and non-axiomatizable semantics.  expect that by studying these examples  will be able to develop a general theory separating axiomatizable and non-axiomatizable semantics.
['Ignacio Fábregas', 'David de Frutos Escrig', 'Miguel Palomino']
I am writing a research paper on a idea Equational Characterization of Covariant-Contravariant Simulation and Conformance Simulation Semantics
[{"from": "human", "value": "I am writing a research paper on a idea Equational Characterization of Covariant-Contravariant Simulation and Conformance Simulation Semantics"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Covariant-contravariant simulation and conformance simulation generalize plain simulation and try to capture the fact that it is not always the case that \"the larger the number of behaviors, the better\".  have previously studied their logical characterizations and in this paper  present the axiomatizations of the preorders defined by the new simulation relations and their induced equivalences. The interest of our results lies in the fact that the axiomatizations help us to know the new simulations better, understanding in particular the role of the contravariant characteristics and their interplay with the covariant ones; moreover, the axiomatizations provide us with a porful tool to (algebraically) prove results of the corresponding semantics. But  also consider our results interesting from a metatheoretical point of view: the fact that the covariant-contravariant simulation equivalence is indeed ground axiomatizable when there is no action that exhibits both a covariant and a contravariant behaviour, but becomes non-axiomatizable whenever  have together actions of that kind and either covariant or contravariant actions, offers us a new subtle example of the narrow border separating axiomatizable and non-axiomatizable semantics.  expect that by studying these examples  will be able to develop a general theory separating axiomatizable and non-axiomatizable semantics."}]