Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that there is a restriction, or modiflcation of the flnite-variable fragments of First Order Logic in which a ak form of Craig’s Interpolation Theorem holds but a strong form of this theorem does not hold. Translating these results into Algebraic Logic  obtain a flnitely axiomatizable subvariety of flnite dimensional Representable Cylindric Algebras that has the Strong Amalgamation Property but does not have the Superamalgamation Property. This settles a conjecture of Pigozzi [12].
['Gábor Sági', 'Saharon Shelah']
I am writing a research paper on a idea On Weak and Strong Interpolation in Algebraic Logics
[{"from": "human", "value": "I am writing a research paper on a idea On Weak and Strong Interpolation in Algebraic Logics"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that there is a restriction, or modiflcation of the flnite-variable fragments of First Order Logic in which a ak form of Craig\u2019s Interpolation Theorem holds but a strong form of this theorem does not hold. Translating these results into Algebraic Logic  obtain a flnitely axiomatizable subvariety of flnite dimensional Representable Cylindric Algebras that has the Strong Amalgamation Property but does not have the Superamalgamation Property. This settles a conjecture of Pigozzi [12]."}]