Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study action rule-based systems with two forms of negation, namely classical negation and "negation as failure to find a course of action".  show, by means of several examples, that adding negation as failure to such systems increases their expressiveness in the sense that real-life problems can be represented in a natural and simple way. Then  address the problem of providing a formal declarative semantics to these extended systems by adopting an argumentation-based approach which has been shown to be a simple unifying framework for understanding the declarative semantics of various nonmonotonic formalisms. In this way,  naturally define the grounded (ll-founded), stable and preferred semantics for production systems with negation as failure. Next,  characterize the class of stratified production systems, which enjoy the properties that the above-mentioned semantics coincide and that negation as failure to find a course of action can be computed by a simple bottom-up operator. Stratified production systems can be implemented on top of conventional production systems in two ways. The first way corresponds to the understanding of stratification as a form of priority assignment beten rules.  show that this implementation, though sound, is not complete in the general case. Hence,  propose a second implementation by means of an algorithm which transforms a finite stratified production system into a classical one. This is a sound and complete implementation, though it is computationally hard.
['Phan Minh Dung', 'Paolo Mancarella']
I am writing a research paper on a idea Production systems with negation as failure
[{"from": "human", "value": "I am writing a research paper on a idea Production systems with negation as failure"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study action rule-based systems with two forms of negation, namely classical negation and \"negation as failure to find a course of action\".  show, by means of several examples, that adding negation as failure to such systems increases their expressiveness in the sense that real-life problems can be represented in a natural and simple way. Then  address the problem of providing a formal declarative semantics to these extended systems by adopting an argumentation-based approach which has been shown to be a simple unifying framework for understanding the declarative semantics of various nonmonotonic formalisms. In this way,  naturally define the grounded (ll-founded), stable and preferred semantics for production systems with negation as failure. Next,  characterize the class of stratified production systems, which enjoy the properties that the above-mentioned semantics coincide and that negation as failure to find a course of action can be computed by a simple bottom-up operator. Stratified production systems can be implemented on top of conventional production systems in two ways. The first way corresponds to the understanding of stratification as a form of priority assignment beten rules.  show that this implementation, though sound, is not complete in the general case. Hence,  propose a second implementation by means of an algorithm which transforms a finite stratified production system into a classical one. This is a sound and complete implementation, though it is computationally hard."}]