{"type":"ScholarlyArticle","title":"Prime Compilation of Non-Clausal Formulae","authors":[{"name":"Alessandro Previti","slug":"alessandro-previti","given":"Alessandro","family":"Previti","affiliation":""},{"name":"Alexey Ignatiev","slug":"alexey-ignatiev","given":"Alexey","family":"Ignatiev","affiliation":""},{"name":"António Morgado","slug":"antonio-morgado","given":"Antonio","family":"Morgado","affiliation":""},{"name":"João P. Marques Silva","slug":"joao-p-marques-silva","given":"João P. Marques","family":"Silva","affiliation":""}],"abstract":"Formula compilation by generation of prime implicates or implicants finds a wide range of applications in AI. Recent work on formula compilation by prime implicate/implicant generation often assumes a Conjunctive/Disjunctive Normal Form (CNF/DNF) representation. However, in many settings propositional formulae are naturally expressed in non-clausal form. Despite a large body of work on compilation of non-clausal formulae, in practice existing approaches can only be applied to fairly small formulae, containing at most a few hundred variables. This paper describes two novel approaches for the compilation of non-clausal formulae either with prime implicants or implicates, that is based on propositional Satisfiability (SAT) solving. These novel algorithms also find application when computing all prime implicates of a CNF formula. The proposed approach is shown to allow the compilation of non-clausal formulae of size significantly larger than existing approaches.","doi":null,"url":"https://ijcai.org/proceedings/2015/281","pdf":"https://ijcai.org/proceedings/2015/0281.pdf","markdown":"https://ijcai.org/proceedings/2015/281.md","bibtex":"https://ijcai.org/proceedings/2015/bibtex/281","volume":{"slug":"2015","title":"Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2015","url":"https://ijcai.org/proceedings/2015/","year":2015,"location":"Buenos Aires, Argentina","dates":"25–31 July 2015","editors":"Qiang Yang and Michael Wooldridge","isbn":"978-1-57735-738-4","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Satisfiability","track":"Main Track","number":281,"pages":{"first":1980,"last":1987},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}