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In order to be logically correct, the conclusion s of an argument <σ, s> must logically follow from σ, i.e., s must be a logical consequence of σ (WL II, 391 395; the similarity with the distinction between material and formal consequence in Tarski 1956, 419, is obvious).
"(R1) The explanandum must be a logical consequence of the explanans.
First, "the explanandum must be a logical consequence of the explanans" and "the sentences constituting the explanans must be true" (Hempel, 1965, p. 248).
An explanans appropriately explaining an explanandum need to meet four requirements: "(R1) The explanandum must be a logical consequence of the explanans.
Variety in initiatives and the institutional configurations in which they are embedded are therefore considered to be a logical consequence of the unique configuration of cities.
This heterogeneity might be a logical consequence of the different clinical expressions and the evolution of the disease observed among these patients.
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From the examples provided, it seems that 'agreement' here is not a notion of entailment or logical consequence.
A simple definition of logical consequence seems to suggest itself: s follows logically from σ (or: s is a logical consequence of σ) iff s follows from σ with respect to the sequence iσ∪{s} of all extra-logical simple ideas contained in σ or s.
Another interpretation would be a logical implication to state that B is already logically implicit in A. This interpretation means that it is a logical consequence that a common causal structure implies a common property to obtain (ceteris paribus).
Generally, when one accepts naturalism (which is the idea that everything [including the individual human being] is part of a single unified natural world), determinism is a logical consequence.
But according to at least one other logic the paraconsistent logic LP disjunctive syllogism is not a valid argument form.[2] Hence the two logics disagree about whether the conclusion of the argument above is a logical consequence of the premises.
More suggestions(17)
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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