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» A Theorem on Higher Bruhat Orders
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DCG
2000
67views more  DCG 2000»
14 years 11 months ago
A Theorem on Higher Bruhat Orders
We show that inclusion order and single-step inclusion coincide for higher Bruhat orders B(n; 2), i.e., B(n; 2) = B (n; 2). Mathematics Subject Classi cations (1991). 06A06, 51G05,...
Stefan Felsner, Helmut Weil
100
Voted
ORDER
2002
107views more  ORDER 2002»
14 years 11 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
CADE
2009
Springer
16 years 8 days ago
Progress in the Development of Automated Theorem Proving for Higher-Order Logic
The Thousands of Problems for Theorem Provers (TPTP) problem library is the basis of a well established infrastructure supporting research, development, and deployment of first-ord...
Chad E. Brown, Christoph Benzmüller, Frank Th...
LICS
2012
IEEE
13 years 2 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
97
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FSS
2011
82views more  FSS 2011»
14 years 3 months ago
Fuzzy transforms of higher order approximate derivatives: A theorem
In many practical applications, it is useful to represent a function f(x) by its fuzzy transform, i.e., by the “average” values Fi = f(x) · Ai(x) dx Ai(x) dx over different ...
Irina Perfilieva, Vladik Kreinovich