Order-consistent programs are cautiously monotonic

Hudson Turner

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3 Scopus citations


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 languageEnglish (US)
Pages (from-to)487-495
Number of pages9
JournalTheory and Practice of Logic Programming
Issue number4
StatePublished - Jul 2001
Externally publishedYes


  • Answer sets
  • Semantic properties
  • Stable models


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