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» Closure Operators for Order Structures
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DLT
2009
13 years 5 months ago
Closures in Formal Languages and Kuratowski's Theorem
A famous theorem of Kuratowski states that, in a topological space, at most 14 distinct sets can be produced by repeatedly applying the operations of closure and complement to a gi...
Janusz A. Brzozowski, Elyot Grant, Jeffrey Shallit
LICS
2009
IEEE
14 years 2 months ago
Logics with Rank Operators
—We introduce extensions of first-order logic (FO) and fixed-point logic (FP) with operators that compute the rank of a definable matrix. These operators are generalizations o...
Anuj Dawar, Martin Grohe, Bjarki Holm, Bastian Lau...
ICDE
2006
IEEE
196views Database» more  ICDE 2006»
14 years 8 months ago
Closure-Tree: An Index Structure for Graph Queries
Graphs have become popular for modeling structured data. As a result, graph queries are becoming common and graph indexing has come to play an essential role in query processing. ...
Huahai He, Ambuj K. Singh
POPL
1992
ACM
13 years 11 months ago
Abstract Semantics for a Higher-Order Functional Language with Logic Variables
Semantics for a Higher-Order Functional Language with Logic Variables Radha Jagadeesan Imperial College, London, UK SW7 2BZ. Keshav Pingali Cornell University, Ithaca, NY 14853. A...
Radha Jagadeesan, Keshav Pingali
RTA
2005
Springer
14 years 28 days ago
Proof-Producing Congruence Closure
Many applications of congruence closure nowadays require the ability of recovering, among the thousands of input equations, the small subset that caused the equivalence of a given ...
Robert Nieuwenhuis, Albert Oliveras