Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   analyze some fragments of the universal theory of distributive lattices with many sorted bridging operators. Our interest in such algebras is motivated by the fact that, in description logics, numerical features are often expressed by using maps that associate numerical values to sets (more generally, to lattice elements).  first establish a link beten satisfiability of universal sentences with respect to algebraic models and satisfiability with respect to certain classes of relational structures.  use these results for giving a method for translation to clause form of universal sentences, and provide some decidability results based on the use of resolution or hyperresolution. Links beten hyperresolution and tableau methods are also discussed, and a tableau procedure for checking satisfiability of formulae of type t1 ? t2 is obtained by using a hyperresolution calculus.
['Viorica Sofronie-Stokkermans']
I am writing a research paper on a idea On Uniform Word Problems Involving Bridging Operators on Distributive Lattices
[{"from": "human", "value": "I am writing a research paper on a idea On Uniform Word Problems Involving Bridging Operators on Distributive Lattices"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   analyze some fragments of the universal theory of distributive lattices with many sorted bridging operators. Our interest in such algebras is motivated by the fact that, in description logics, numerical features are often expressed by using maps that associate numerical values to sets (more generally, to lattice elements).  first establish a link beten satisfiability of universal sentences with respect to algebraic models and satisfiability with respect to certain classes of relational structures.  use these results for giving a method for translation to clause form of universal sentences, and provide some decidability results based on the use of resolution or hyperresolution. Links beten hyperresolution and tableau methods are also discussed, and a tableau procedure for checking satisfiability of formulae of type t1 ? t2 is obtained by using a hyperresolution calculus."}]