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Partial order maintenance

ACM SIGIR Forum, 1989
In this paper we show how to maintain a partially-ordered hierarchy of patterns by subpattern-of for efficient associative retrieval. The techniques described here are most applicable for databases of complex data structures such as graphs or matrices as opposed to simple data structures such as relations, sets, lists or frames that are seen in most ...
Cathi Colin, Robert Levinson
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Verifying partial orders

Proceedings of the twenty-first annual ACM symposium on Theory of computing - STOC '89, 1989
We present a randomized algorithm which uses O(n(log n)1/3) expected comparisons to verify that a given partial order holds on n elements from an unknown total order.
Claire Kenyon-Mathieu, Valerie King
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Partial Orders on Weak Orders Convex Subsets

Order, 2000
Let \(P\) and \(H\) be finite partially ordered sets (orders, for short) and \(\varphi \) be a mapping of \(P\) into the set of all nonempty convex connected subsets of \(H\).
Haiko Müller, Jean-Xavier Rampon
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Completions of Partially Ordered Sets

SIAM Journal on Computing, 1982
We show, for any subset system Z (as defined in Wright, Wagner, and Thatcher, T.C.S. 7 (1978), pp. 57–77) and any order preserving map $f:Q \to P$ of posets, the existence of a universal map $u_f :P \to P_f $ where $P_f $ is Z-complete and $u_f f$ is Z-continuous. This generalizes to arbitrary subset systems the result of Markowsky (T.C.S. 4 (1977), pp.
Bernhard Banaschewski, Evelyn Nelson
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On Partially Ordered Rings

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On congruences and partial orders

1995
Mazurkiewicz trace theory is not powerful enough to describe concurrency paradigms as, for instance, the “Producer / Consumer”. We propose in this paper a generalization of Mazurkiewicz trace monoids which allows to model such problems. We consider quotients of the free monoids by congruences which preserve the commutative images of words.
Serge Bauget, Paul Gastin
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Partially ordered groups and partially ordered linear spaces.

1951
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kantorovich, L. V.   +2 more
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Filters and partial orders

Logic Journal of IGPL, 1997
There are in the literature a number of different ``possible worlds'' semantics for nonmonotonic reasoning, but they all rest on one or other of two basic intuitions. One intuition is to evaluate an inference by asking whether its conclusion is true in ``the most normal'' among the worlds satisfying the premises.
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Endomorphisms of Partially Ordered Sets

Combinatorics, Probability and Computing, 1998
It is shown that every partially ordered set with n elements admits an endomorphism with an image of a size at least n1/7 but smaller than n. We also prove that there exists a partially ordered set with n elements such that each of its non-trivial endomorphisms has an image of size O((n log n)1/3).
Dwight Duffus   +3 more
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Partial higher-order specifications

1991
Summary: The classes of extensional models of higher-order partial conditional specifications are studied, with the emphasis on the closure properties of these classes. Further it is shown that any equationally complete inference system for partial conditional specifications may be extended to an inference system for partial higher-order conditional ...
ASTESIANO, EGIDIO, CERIOLI, MAURA
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