Closing the gap between the stable semantics and extensions of WFS

In order to really understand all aspects of logic-based program development of different semantics, it would be useful to have a common solid logical foundation. The stable semantics has one already based on intuitionistic logic I and using the notion of completions. Since S4 expresses I then the stable semantics can be fully represented in S4. We propose the same approach to define extensions of the WFS semantics. We distinguish a particular semantics that we call AS-WFS wich is defined over general propositional theories, can be defined via completions using S4. Interesting AS-WFS seems to satisfy most of the principles of a well behaved semantics. Our general goal is to propose S4 and completions to study the formal behavior of different semantics.