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The point is sometimes framed in terms of "information dependence:" An externalist who grants warrant to the *premises "rationally requires certain collateral information" that includes (3) (Wright 2000a, p. 149).
A problem is that (LP like the information dependence template aims to account for transmission failure of inferential justification, whereas the disjunctive template has the specific function to account for transmission failure of non-inferential justification.
For instance Wright resumes the information dependence template by saying that the justification from e for p cannot transmit to p's consequence q 'if the justification for p supplied by e depends in the first place on prior and independent justification for q' (Wright 2002, 336, edited).
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As a recently consolidated paradigm for optimistic concurrency in modern multicore architectures, Transactional Memory (TM) can help to the exploitation of parallelism in irregular applications when data dependence information is not available up to run-time.
Suppose the information-dependence template is instantiated such that s's justification for p from e depends on s's independent justification for q.
Thus Twins instantiates the information-dependence template.
(Some authors have attempted Bayesian formalisations of the information-dependence template: see the supplement on Bayesian Formalisations of the Information-Dependence Template).
Interestingly enough, any argument satisfying the information-dependence template also satisfies the antecedent of (LP).
The same seems to be true of arguments instantiating the information-dependence template.
The instantiation of the information-dependence template then precludes the transmission of independent justification.
Suppose in fact the information-dependence template is satisfied so that (I)–(III) are true.
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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