Abstract
In [12] the notion of a quantitative logic program has been introduced, and its declarative semantics explored. The operational semantics given in [12] is extended significantly in this paper — in particular, the notion of correct answer substitution is introduced and soundness and completeness results obtained. In addition, the completeness results for the and-or tree searching technique given in [12] is strengthened to be applicable to quantitative logic programs that are not well covered, thus removing one restriction in the completeness theorem obtained in [12]. In addition, the soundness and completeness results for SLDq-resolution in [12] are strengthened to apply to any nice QLP. Moreover, all these soundness and completeness results are applicable to existential queries unlike the results of [12,13] and [14] which are applicable to ground queries only. It was shown in [12] that the greatest supported model of a class of QLPs is semi-computable. In this paper, we give an explicit procedure to compute (partially) the greatest supported model, and obtain soundness and completeness results. This has applications in reasoning about beliefs.
Original language | English (US) |
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Title of host publication | 9th International Conference on Automated Deduction, Proceedings |
Editors | Ewing Lusk, Ross Overbeek |
Publisher | Springer Verlag |
Pages | 81-100 |
Number of pages | 20 |
ISBN (Print) | 9783540193432 |
DOIs | |
State | Published - 1988 |
Externally published | Yes |
Event | 9th International Conference on Automated Deduction, CADE 1988 - Argonne, United States Duration: May 23 1988 → May 26 1988 |
Publication series
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 310 LNCS |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Other
Other | 9th International Conference on Automated Deduction, CADE 1988 |
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Country/Territory | United States |
City | Argonne |
Period | 5/23/88 → 5/26/88 |
Funding
Professor Howard Blair and Aida Batarekh. This work was supported by U.S. Air Force Contract F30602-85-C-0008.
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science