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The phrase 'distinct logic' is correct and usable in written English.
You can use it when referring to a type of thinking that stands out from the rest due to its unique properties or characteristics. For example, "He applied a distinct logic to the problem that had not been considered before."
Exact(5)
The dimension of the countervailing mechanism obeying a distinct logic is different from the debts shown in Fig. 4.
Normally, the biosynthesis of nucleoside antibiotics follows a distinct logic via sequential modifications of the simple building blocks including nucleoside and nucleotide from primary metabolisms (Isono, 1988).
We note the rise of rules-based clinical risk management in UK mental health services as a distinct logic from ethics-orientated clinical self-regulation.
For example, one sense would be as in SDL (the simple absence of a prohibition), the other being a stronger sense of permission (von Wright 1968) with a distinct logic that would, for example, ratify *, but not **, above.
We realize permanent amplifying AND, NAND, OR, XOR, NOR, and XNOR gates actuated across common control signal ranges and sequential logic supporting autonomous cell-cell communication of DNA encoding distinct logic gate states.
Similar(55)
Indeed, this kind of bridge axioms can, in principle, connect completely distinct logics.
By applying the framework to assimilation and multiculturalism, two distinct logics of policy intervention are derived.
As with all many-valued logics, the connectives and validity can be defined in a variety of ways, giving rise to a number of distinct logics.
So there is a distinct political logic in making Brexit visibly painful for the UK, pour encourager les autres.
We hypothesize this pattern of cyclicity/phase conservation among duplicates points to a fundamentally distinct regulatory logic from that of stress response.
At the application layer, components may exhibit disparate data types and operations, and may have distinct business logics.
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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