Random logic programs: Linear model. Issue 6 (November 2015)

• Record Type: Journal Article
• Authors: WANG, KEWEN; WEN, LIAN; MU, KEDIAN
• Is Part Of: Theory and practice of logic programming. Volume 15:Issue 6(2015)
• Page Start: 818
• Page End: 853
• Publication Date: 2015-11
• Subjects: Logic programming -- Periodicals; Artificial intelligence -- Computer programs -- Periodicals; Constraint programming (Computer science) -- Periodicals; 005.115
• DOI: 10.1017/S1471068414000611
• Languages: English
• ISSNs: 1471-0684

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>This paper proposes a model, the linear model, for randomly generating logic programs with low density of rules and investigates statistical properties of such random logic programs. It is mathematically shown that the average number of answer sets for a random program converges to a constant when the number of atoms approaches infinity. Several experimental results are also reported, which justify the suitability of the linear model. It is also experimentally shown that, under this model, the size distribution of answer sets for random programs tends to a normal distribution when the number of atoms is sufficiently large.</p> </abstract>