Abstract
In this paper we present a paraconsistent abdutive semantics for extended normal logic programs, the paraconsistent minimal hypotheses semantics MH P. The MHP is a semantics of total paraconsistent models wich combines the merits of two already existing semantics: it inherits the existence property of the abductive minimal hypotheses semantics MH [1], which is a semantics of total models, and the property of detection of support on contradiction of the paraconsistent well-founded semantics with explicit negation WFSXP [2], which is a semantics of partial paraconsistent models. The MHP enjoys also the property of simple relevance, which permits top-down query answering for brave reasoning purposes. Besides, the MHP lends itself to various types of skeptical and brave reasoning, which include the possibility of drawing conclusions from inconsistent models in a nontrivial way. The MHP coincides with the MH on normal logic programs, and with the WFSXP on stratified extended programs.
Original language | English |
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Pages (from-to) | 284-298 |
Number of pages | 15 |
Journal | Technische Berichte des Instituts fur Informatik der Christian-Albrechts-Universitat zu Kiel |
Issue number | 1306 REPORT NO. |
Publication status | Published - 1 Jan 2013 |
Event | Kiel Declarative Programming Days 2013 - 20th Int. Conf. on Applications of Declarative Programming and Knowledge Management, INAP 2013, 22nd Int. Workshop on Functional and (Constraint) Logic Programming, WFLP 2013 and 27th WLP 2013 - Kiel, Germany Duration: 11 Sept 2013 → 13 Sept 2013 |
Keywords
- Abduction
- Hypotheses
- Paraconsistency
- Partial Paraconsistent Model
- Semantics
- Total Paraconsistent Model