Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Some normal logic programs under the ansr set (or stable model) semantics lack the appealing property of ‘cautious monotonicity.’ That is, augmenting a program with one of its consequences may cause it to lose another of its consequences. The syntactic condition of ‘order-consistency’ was shown by Fages to guarantee existence of an ansr set. This note establishes that order-consistent programs are not only consistent, but cautiously monotonic. From this it follows that they are also ‘cumulative’. That is, augmenting an order-consistent program with some of its consequences does not alter its consequences. In fact, as  show, its ansr sets remain unchanged.
['Hudson Turner']
I am writing a research paper on a idea Order-consistent programs are cautiously monotonic
[{"from": "human", "value": "I am writing a research paper on a idea Order-consistent programs are cautiously monotonic"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Some normal logic programs under the ansr set (or stable model) semantics lack the appealing property of \u2018cautious monotonicity.\u2019 That is, augmenting a program with one of its consequences may cause it to lose another of its consequences. The syntactic condition of \u2018order-consistency\u2019 was shown by Fages to guarantee existence of an ansr set. This note establishes that order-consistent programs are not only consistent, but cautiously monotonic. From this it follows that they are also \u2018cumulative\u2019. That is, augmenting an order-consistent program with some of its consequences does not alter its consequences. In fact, as  show, its ansr sets remain unchanged."}]