Abstract
Some normal logic programs under the answer set (or stable model) semantics lack the appealing property of 'cautious monotonicity.' That is, augmenting a program with one of its consequences may cause it to lose another of its consequences. The syntactic condition of 'order-consistency' was shown by Fages to guarantee existence of an answer set. This note establishes that order-consistent programs are not only consistent, but cautiously monotonie. From this it follows that they are also 'cumulative'. That is, augmenting an order-consistent program with some of its consequences does not alter its consequences. In fact, as we show, its answer sets remain unchanged.
Original language | English (US) |
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Pages (from-to) | 487-495 |
Number of pages | 9 |
Journal | Theory and Practice of Logic Programming |
Volume | 1 |
Issue number | 4 |
DOIs | |
State | Published - Jul 2001 |
Externally published | Yes |
Keywords
- Answer sets
- Semantic properties
- Stable models