Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Modularity is a highly desirable property in the development of satisfiability procedures.   are interested in using a dedicated superposition calculus to develop satisfiability procedures for (unions of) theories sharing counter arithmetic. In the first place,  are concerned with the termination of this calculus for theories representing data structures and their extensions. To this purpose,  prove a modularity result for termination which allows us to use our superposition calculus as a satisfiability procedure for combinations of data structures. In addition,  present a general combinability result that permits us to use our satisfiability procedures into a non-disjoint combination method a la Nelson-Oppen without loss of completeness. This latter result is useful whenever data structures are combined with theories for which superposition is not applicable, like theories of arithmetic.
['Christophe Ringeissen', 'Valerio Senni']
I am writing a research paper on a idea Modular termination and combinability for superposition modulo counter arithmetic
[{"from": "human", "value": "I am writing a research paper on a idea Modular termination and combinability for superposition modulo counter arithmetic"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Modularity is a highly desirable property in the development of satisfiability procedures.   are interested in using a dedicated superposition calculus to develop satisfiability procedures for (unions of) theories sharing counter arithmetic. In the first place,  are concerned with the termination of this calculus for theories representing data structures and their extensions. To this purpose,  prove a modularity result for termination which allows us to use our superposition calculus as a satisfiability procedure for combinations of data structures. In addition,  present a general combinability result that permits us to use our satisfiability procedures into a non-disjoint combination method a la Nelson-Oppen without loss of completeness. This latter result is useful whenever data structures are combined with theories for which superposition is not applicable, like theories of arithmetic."}]