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doi:10.22028/D291-24993
Titel: | An alternative proof method for possibilistic logic and its application to terminological logics |
VerfasserIn: | Hollunder, Bernhard |
Sprache: | Englisch |
Erscheinungsjahr: | 1993 |
Quelle: | Kaiserslautern ; Saarbrücken : DFKI, 1993 |
Kontrollierte Schlagwörter: | Künstliche Intelligenz |
DDC-Sachgruppe: | 004 Informatik |
Dokumenttyp: | Forschungsbericht (Report zu Forschungsprojekten) |
Abstract: | Possibilistic logic, an extension of first-order logic, deals with uncertainty that can be estimated in terms of possibility and necessity measures. Syntactically, this means that a first-order formula is equipped with a possibility degree or a necessity degree that expresses to what extent the formula is possibly or necessarily true. Possibilistic resolution, an extension of the well-known resolution principle, yields a calculus for possibilistic logic which respects the semantics developed for possibilistic logic. A drawback, which possibilistic resolution inherits from classical resolution, is that it may not terminate if applied to formulas belonging to decidable fragments of first-order logic. Therefore we propose an alternative proof method for possibilistic logic. The main feature of this method is that it completely abstracts from a concrete calculus but uses as basic operation a test for classical entailment. If this test is decidable for some fragment of first-order logic then possibilistic reasoning is also decidable for this fragment. We then instantiate possibilistic logic with a terminological logic, which is a decidable subclass of first-order logic but nevertheless much more expressive than propositional logic. This yields an extension of terminological logics towards the representation of uncertain knowledge which is satisfactory from a semantic as well as algorithmic point of view. |
Link zu diesem Datensatz: | urn:nbn:de:bsz:291-scidok-37984 hdl:20.500.11880/25049 http://dx.doi.org/10.22028/D291-24993 |
Schriftenreihe: | Research report / Deutsches Forschungszentrum für Künstliche Intelligenz [ISSN 0946-008x] |
Band: | 93-01 |
Datum des Eintrags: | 5-Jul-2011 |
Fakultät: | SE - Sonstige Einrichtungen |
Fachrichtung: | SE - DFKI Deutsches Forschungszentrum für Künstliche Intelligenz |
Sammlung: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Dateien zu diesem Datensatz:
Datei | Beschreibung | Größe | Format | |
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RR_93_01.pdf | 13,09 MB | Adobe PDF | Öffnen/Anzeigen |
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