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In certain substructural logics, such as linear logic and the Lambek calculus, and in the fragment of the relevant logic R without disjunction, a Gentzen system can be used to show that the logic is decidable, in that an algorithm can be found to determine whether or not an argument X ⊢ A is valid.
Consistent with that observed in DNA bead-spindles, the condensed sperm chromatin moved poleward without disjunction during anaphase of meiosis II (Figure 1F, arrow).
A fact is a ground rule without disjunction and with an empty body.
We speculate that, by comparison to wild-type, the strongly centrosomine-stained structures detected in Figure 4, D F may represent aggregates of duplicated centrioles, either unable to move apart or separated in an earlier event but then replicating without disjunction.
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This leads essentially to a logic without proper disjunction.
Surgically assisted rapid maxillary expansion (SARME) is a procedure routinely performed to correct transverse maxillary deformities and can be performed with or without pterygomaxillary disjunction (PD).
The aim of this study was to evaluate and compare dental and skeletal changes in surgically assisted rapid palatal expansion (SARPE) patients with (+PP) and without (−PP) pterygomaxillary disjunction.
In other words, Simon's oracle is another example of a quantum algorithm which evaluates a disjunction seemingly without determining the truth values of its disjuncts.
That's why it's impossible to gauge the full range of our responses to the Islamic State atrocities without apprehending the nauseating disjunction between how connected we are and how impotent.
That is, one can apparently have the disjunction problem without a problem of false belief.
In other words, we can distinguish in one run of the algorithm between the two quantum disjunctions without finding out the truth values of the disjuncts themselves in the computation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com