Note that conversely well-founded frames are also irreflexive, for if wRw, this gives rise to an infinite ascending sequence wRwRwR….
A relation is conversely well-founded iff there are no infinite ascending sequences, that is sequences of the form w1Rw2Rw3 R….
But is every formula that is valid on all transitive conversely well-founded frames also provable in GL? Unaware of the arithmetical significance of GL, K. Segerberg proved in 1971 that GL is indeed complete with respect to transitive conversely well-founded frames; D. de Jongh and S. Kripke independently proved this result as well.
Conversely, well-designed empirical contributions conceived within the framework of the model are the only way for us to progress along the route towards a fully fleshed-out specification of its workings.
Conversely, well-ventilated lung tissue showed a significantly lower MTR for nearly all flip angles and off-resonance frequencies compared to infiltrated lung except for an off-resonance frequency of 1000 Hz.
Then for every finite subset Δ of Γ, one can construct a model on a transitive, conversely well-founded frame and a world in the model where all formulas of Δ are true.
The above correspondence result immediately shows that GL is modally sound with respect to the class of possible worlds models on transitive conversely well-founded frames, because all axioms and rules of GL are valid on such models.
On the other hand, it is easy to see that there is no model on a transitive, conversely well-founded frame where in any world, all formulas of Γ hold.
Conversely, well-known IUU fishing vessels will have the eyes of industry, environmental NGOs and government agencies on them, resulting in more records for these vessels.
Conversely, wells not showing a difference were not as statistically robust.
