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» A note on the axiomatisation of real numbers
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CORR
2011
Springer
148views Education» more  CORR 2011»
13 years 23 days ago
Convex Polyhedra Realizing Given Face Areas
Given n ≥ 4 positive real numbers, we prove in this note that they are the face areas of a convex polyhedron if and only if the largest number is not more than the sum of the ot...
Joseph O'Rourke
FOIKS
2006
Springer
13 years 9 months ago
Reasoning Support for Expressive Ontology Languages Using a Theorem Prover
It is claimed in [45] that first-order theorem provers are not efficient for reasoning with ontologies based on description logics compared to specialised description logic reasone...
Ian Horrocks, Andrei Voronkov
FSEN
2009
Springer
13 years 9 months ago
Verification, Performance Analysis and Controller Synthesis for Real-Time Systems
This note aims at providing a concise and precise Travellers Guide, Phrase Book or Reference Manual to the timed automata modeling formalism introduced by Alur and Dill [7, 8]. The...
Uli Fahrenberg, Kim G. Larsen, Claus R. Thrane
SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 15 days ago
A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical ze...
Drahoslava Janovská, Gerhard Opfer
CCA
2005
Springer
13 years 11 months ago
The Dedekind Reals in Abstract Stone Duality
kind Reals in Abstract Stone Duality Andrej Bauer and Paul Taylor 3 June 2009 Stone Duality (ASD) is a direct axiomatisation of general topology, in contrast to the traditional an...
Andrej Bauer, Paul Taylor 0002