Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let k>2 and k be a k-element set.  show that though the partial clone I:=/spl cap//sub a/spl isin/k/pPol {a} of all idempotent partial operations on k is contained in finitely many partial clones on k, it is quite hard to determine the number of all partial clones on k containing the partial clone I on k. Indeed this question is related to a hard problem in the area of extremal set theory.
['Jean Fugère', 'Lucien Haddad']
I am writing a research paper on a idea On partial clones containing all idempotent partial operations
[{"from": "human", "value": "I am writing a research paper on a idea On partial clones containing all idempotent partial operations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let k>2 and k be a k-element set.  show that though the partial clone I:=/spl cap//sub a/spl isin/k/pPol {a} of all idempotent partial operations on k is contained in finitely many partial clones on k, it is quite hard to determine the number of all partial clones on k containing the partial clone I on k. Indeed this question is related to a hard problem in the area of extremal set theory."}]