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» Descriptive Set Theory of Families of Small Sets
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VL
2007
IEEE
104views Visual Languages» more  VL 2007»
15 years 3 months ago
A Peirce Style Calculus for ALC
Description logics (DLs) are a well-understood family of knowledge representation (KR) languages. The notation of DLs has the flavour of a variable-free first order predicate lo...
Frithjof Dau, Peter W. Eklund
90
Voted
STACS
2007
Springer
15 years 3 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler
JNS
2010
107views more  JNS 2010»
14 years 4 months ago
Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics
We consider statistical mechanics systems defined on a set with some symmetry properties (namely, the set admits an action by a group, which is finitely generated and residually fi...
Rafael de La Llave, Enrico Valdinoci
97
Voted
FUIN
2010
83views more  FUIN 2010»
14 years 7 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
PEPM
2009
ACM
16 years 9 months ago
Static Consistency Checking for Verilog Wire Interconnects
The Verilog hardware description language has padding semantics that allow designers to write descriptions where wires of different bit widths can be interconnected. However, many ...
Cherif Salama, Gregory Malecha, Walid Taha, Jim Gr...