Authors
Melvin Fitting
CUNY Graduate Center
Abstract
Classical fixpoint semantics for logic programs is based on the TP immediate consequence operator. The Kripke/Kleene, three-valued, semantics uses ΦP, which extends TP to Kleene’s strong three-valued logic. Both these approaches generalize to cover logic programming systems based on a wide class of logics, provided only that the underlying structure be that of a bilattice. This was presented in earlier papers. Recently well-founded semantics has become influential for classical logic programs. We show how the well-founded approach also extends naturally to the same family of bilatticebased programming languages that the earlier fixpoint approaches extended to. Doing so provides a natural semantics for logic programming systems that have already been proposed, as well as for a large number that are of only theoretical interest. And finally, doing so simplifies the proofs of basic results about the well-founded semantics, by stripping away inessential details.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 72,607
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Truth and Reflection.Stephen Yablo - 1985 - Journal of Philosophical Logic 14 (3):297 - 349.
The Stable Model Semantics for Logic Programming.Melvin Fitting - 1992 - Journal of Symbolic Logic 57 (1):274-277.

View all 8 references / Add more references

Citations of this work BETA

Knowledge, Uncertainty and Ignorance in Logic: Bilattices and Beyond.George Gargov - 1999 - Journal of Applied Non-Classical Logics 9 (2-3):195-283.

Add more citations

Similar books and articles

Analytics

Added to PP index
2010-12-22

Total views
30 ( #385,496 of 2,533,629 )

Recent downloads (6 months)
1 ( #389,998 of 2,533,629 )

How can I increase my downloads?

Downloads

My notes