Ganter, Bernhard; Reuter, Klaus Finding all closed sets: A general approach. (English) Zbl 0754.06003 Order 8, No. 3, 283-290 (1991). We present a unifying theoretical and algorithmic approach to the problems of determining all closed sets of a closure operator, doing this up to isomorphism, and determining the elements of certain ideals of a power set. This will be done by generalizing the concept of closure operators using the interplay of several orders of a power set. Reviewer: K.Reuter Cited in 15 Documents MSC: 06A15 Galois correspondences, closure operators (in relation to ordered sets) 68R99 Discrete mathematics in relation to computer science Keywords:algorithms; closed sets of a closure operator; ideals of a power set; orders of a power set PDF BibTeX XML Cite \textit{B. Ganter} and \textit{K. Reuter}, Order 8, No. 3, 283--290 (1991; Zbl 0754.06003) Full Text: DOI OpenURL References: [1] B.Ganter (1987) Algorithmen zur formalen Begriffsanalyse, in B.Ganter, R.Wille, and K. E.Wolff, eds, Beitr?ge zur Begriffsanalyse, p. 241-254, B.I.-Wissenschaftsverlag, Mannheim, Wien, Z?rich. [2] B. Ganter, Finding closed sets under symmetry, Preprint. · Zbl 0754.06003 [3] C.Read (1987) Every one a winner, or, how to avoid isomorphism search when cataloguing combinatorial configurations, Annals of Discr. Math. 2, 107-120. · Zbl 0392.05001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.