A RIF-Style Semantics for RuleML-Integrated Positional-Slotted, Object-Applicative Rules
In F-logic and RIF, objects (frames) are defined entirely separately from function and predicate applications. In POSL and RuleML, these fundamental notions are integrated by permitting applications with optional object identifiers and, orthogonally, arguments that are positional or slotted. The resulting positional-slotted, object-applicative (psoa) terms are given a novel formalization, reducing the number of RIF terms by generalizing its positional and slotted (named-argument) terms as well as its frame terms and class memberships. Like multi-slot frames accommodate for (Web-)distributed slotted descriptions of the same object identifier (IRI), multi-tuple psoa terms (e.g., shelves) do for positional descriptions. The syntax and semantics of these integrated terms and rules over them are defined as PSOA RuleML in the style of RIF-BLD. The semantics provides a novel first-order model-theoretic foundation, blending frame slotribution, as in F-logic and RIF (as well as shelf tupribution) with integrated psoa terms, as in POSL and RuleML.
KeywordsAtomic Formula Predicate Symbol Condition Formula Root Class Truth Valuation
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- [AK93]Aït-Kaci, H.: An Introduction to LIFE: Programming with Logic, Inheritance, Functions, and Equations. In: Miller, D. (ed.) Proceedings of the 1993 International Symposium on Logic Programming, Vancouver, B.C., Canada, pp. 52–68. MIT Press, Cambridge (October 1993)Google Scholar
- [BK10b]Boley, H., Kifer, M.: RIF Basic Logic Dialect, W3C Recommendation (June 2010), http://www.w3.org/TR/rif-bld
- [BK10c]Boley, H., Kifer, M.: RIF Framework for Logic Dialects, W3C Recommendation (June 2010), http://www.w3.org/TR/rif-fld
- [Bol10]Boley, H.: Integrating Positional and Slotted Knowledge on the Semantic Web. Journal of Emerging Technologies in Web Intelligence 4(2), 343–353 (2010), http://ojs.academypublisher.com/index.php/jetwi/article/view/0204343353 MathSciNetGoogle Scholar
- [PBK10]Polleres, A., Boley, H., Kifer, M.: RIF Datatypes and Built-ins 1.0, W3C Recommendation (June 2010), http://www.w3.org/TR/rif-dtb