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It can, moreover, be shown that PM is consistent and strongly complete and that each of its axioms and transformation rules is independent.
It is strongly complete if the addition to it (as an extra axiom) of any wff whatever that is not already a theorem would make the system inconsistent.
These logics are (strongly) complete with respect to corresponding algebras.
We show that ideal-related K-theory is strongly complete for real rank zero, purely infinite, nuclear, separable C⁎-algebras that have the pseudo-circle as primitive ideal space.
With real rank zero added to the assumptions imposed on the C⁎-algebras, ideal-related K-theory is known to be strongly complete for four of these six spaces.
A sequence {p n } n of points of V is said to be a strong Cauchy sequence in V if it has the property that given λ > 0, there is a positive integer N such that ν p n - p m > 1 - λ whenever m, n > N. A PN space (V,ν, τ, τ*) is said to be strongly complete if every strong Cauchy sequence in V is strongly convergent.
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The reactor operates in two cycles, namely, the 'hot' cycle, H, during which mainly the reactants of the strongly exothermal complete combustion reaction (CH4 and O2) are supplied, and the 'cold'cycle, C, in which mainly the components of the endothermal reforming reactions are introduced (CH4 and H2O or, optionally CO2).
Finally, some patients in whom VNS is ineffective strongly desire complete explantation of the device.
Also, it is more informative than the IUT because it expresses how strongly the complete expression profile supports the hypothesis of tissue selectivity.
We prove both problems strongly NP-complete even for 1D folding.
On the other hand, we show that the problem is strongly NP-complete for graphs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com