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 Author, Editor(s)
 Author(s): Sofronie-Stokkermans, Viorica dblp
 BibTeX cite key*: Sofronie-Stokkermans-unif-05

 Title
 Title*: On unification for bounded distributive lattices

 Journal
 Journal Title*: ACM Transactions on Computational Logic Journal's URL: http://www.acm.org/pubs/tocl/ Download URL for the article: Language: English

 Publisher
 Publisher's Name: ACM Publisher's URL: http://www.acm.org/ Publisher's Address: ISSN: 1529-3785

 Vol, No, pp, Date
 Volume*: 8 Number: 2 Publishing Date: April 2007 Pages*: 12.1-12.28 Number of VG Pages: 41 Page Start: 12.1 Page End: 12.28 Sequence Number: 12 DOI: 10.1145/1227839.1227844

 Note: (LaTeX) Abstract: We give a method for deciding unifiability in the variety of bounded distributive lattices. For this, we reduce the problem of deciding whether a unification problem ${\cal S}$ has a solution to the problem of checking the satisfiability of a set $\Phi_{\cal S}$ of ground clauses. This is achieved by using a structure-preserving translation to clause form. The satisfiability check can then be performed either by a resolution-based theorem prover or by a SAT checker. We apply the method to unification with free constants and to unification with linear constant restrictions, and show that, in fact, it yields a decision procedure for the positive theory of the variety of bounded distributive lattices. We also consider the problem of unification over (i.e.\ in an algebraic extension of) the free lattice. Complexity issues are also addressed. URL for the Abstract: Categories, Keywords: HyperLinks / References / URLs: Copyright Message: Personal Comments: Download Access Level: Intranet

 Correlation
 MPG Unit: Max-Planck-Institut für Informatik MPG Subunit: Automation of Logic Appearance: MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort

BibTeX Entry:

@ARTICLE{Sofronie-Stokkermans-unif-05,
AUTHOR = {Sofronie-Stokkermans, Viorica},
TITLE = {On unification for bounded distributive lattices},
JOURNAL = {ACM Transactions on Computational Logic},
PUBLISHER = {ACM},
YEAR = {2007},
NUMBER = {2},
VOLUME = {8},
PAGES = {12.1--12.28},
MONTH = {April},
ISBN = {1529-3785},
DOI = {10.1145/1227839.1227844},
}