Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In order to define the meaning of a collection of rules forming a database or logic program,  have to consider a number of alternative interpretations. In the case of stratified and locally stratified programs, researchers agree that a single such interpretation captures the intended semantics [16]. Nevertheless, nonstratified datalog databases and logic programs can be seen as descriptions of a set of “alternative scenarios”. Sacca and Zaniolo [20] have shown that the nondeterministic nature of these programs can be used to model several useful queries such as those involving thechoice operator. They introducedpartial stable models, a semantics that exhibits the desired nondeterministic behavior. This work opened the problem of finding efficient ways to compute these nondeterministic scenarios. Papadimitriou and Yannakakis [18] introduced a tie-breaking procedure that nondeterministically computes fixpoints for some programs and has polynomial data complexity. Hover, this algorithm does not handle many programs includingchoice programs. ,  introduce the notion ofll-founded hypothesis, an intuitive account based on hypothetical reasoning that captures the same semantics as Sacca and Zaniolo's partial stable models.  introduce a notion of linearity that can be used in a skeptical or nondeterministic fashion.  show that the skeptical case corresponds to thell-founded semantics and that the nondeterministic case computes a sound subclass of ll-founded hypotheses.  show that this latter subclass has polynomial data complexity, correctly handleschoice programs, and is universally defined.  develop a simple nondeterministic procedure that computes these linear hypotheses, and  extend it to compute a strict superclass of the ll-founded tie-breaking fixpoints in polynomial time.
['Alberto Torres']
I am writing a research paper on a idea A nondeterministic well-founded semantics
[{"from": "human", "value": "I am writing a research paper on a idea A nondeterministic well-founded semantics"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In order to define the meaning of a collection of rules forming a database or logic program,  have to consider a number of alternative interpretations. In the case of stratified and locally stratified programs, researchers agree that a single such interpretation captures the intended semantics [16]. Nevertheless, nonstratified datalog databases and logic programs can be seen as descriptions of a set of \u201calternative scenarios\u201d. Sacca and Zaniolo [20] have shown that the nondeterministic nature of these programs can be used to model several useful queries such as those involving thechoice operator. They introducedpartial stable models, a semantics that exhibits the desired nondeterministic behavior. This work opened the problem of finding efficient ways to compute these nondeterministic scenarios. Papadimitriou and Yannakakis [18] introduced a tie-breaking procedure that nondeterministically computes fixpoints for some programs and has polynomial data complexity. Hover, this algorithm does not handle many programs includingchoice programs. ,  introduce the notion ofll-founded hypothesis, an intuitive account based on hypothetical reasoning that captures the same semantics as Sacca and Zaniolo's partial stable models.  introduce a notion of linearity that can be used in a skeptical or nondeterministic fashion.  show that the skeptical case corresponds to thell-founded semantics and that the nondeterministic case computes a sound subclass of ll-founded hypotheses.  show that this latter subclass has polynomial data complexity, correctly handleschoice programs, and is universally defined.  develop a simple nondeterministic procedure that computes these linear hypotheses, and  extend it to compute a strict superclass of the ll-founded tie-breaking fixpoints in polynomial time."}]