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"basic logic of" is correct and usable in written English.
You can use it to refer to an underlying principle or process of logical reasoning. For example, "The basic logic of the argument is that if the policy is adopted, then the risk of accidents will be reduced."
Exact(39)
Most importantly, he sought to publish them, which is the basic logic of this collection.
"There is something wrong with the basic logic of those who spread these spurious charges.
And yet the basic logic of the enfolding program seemed sound.
Instead, the basic logic of austerity has been accepted by almost everyone.
But it probably would not, because the basic logic of the two situations is very similar.
The basic logic of tax reform is that you lower the rates while broadening the base.
Similar(21)
Along these lines, in the following we describe the basic logics of peer production and open collaboration according to Yochai Benkler [3, 4].
As illustrated in Figure 2, the basic logic for the establishment of Cyber-Physical System is the connecting of real and virtual production.
In general, basic logic for the designing of the intelligent sensor nets is worked out as in Figure 3.
The delay of 1-input NOT gate which is the basic logic primitive of hybrid CMOS-Nanoelement circuit turns out to be about 40 ps based on Eq. (1).
Figure 3 Simplified basic logic elements of Xilinx's Virtex families.
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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