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» A Theorem on Higher Bruhat Orders
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DCG
2000
67views more  DCG 2000»
13 years 5 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
ORDER
2002
107views more  ORDER 2002»
13 years 5 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
14 years 6 months 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
11 years 7 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 ...
FSS
2011
82views more  FSS 2011»
12 years 8 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