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The validity of the individual formal proofs that make up the bulk of its three volumes has gone largely unchallenged, but the philosophical significance of the work as a whole is still a matter of debate.
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Every result listed in the table is the result of a formal proof that is based on the constraints formalized in the SBML Harvester software, the annotation assertions of models in BioModels and the knowledge contained in biomedical ontologies.
More importantly, that there are no ad hoc sortals is essential to the significance of the formal proof that there is no such thing as relative identity.
While the virus has been a leading suspect for weeks, formal proof that the virus was the cause of the new disease came only today.
Nonetheless, quantum computation continues to be a very active area of research.[36] At present, however, we lack a formal proof that \ \textbf{P} \subsetneq \textbf{BQP}\).
Moreover this paper offers a first integer linear programming formulation of the (MDBCS), and a formal proof that it is correct.
A formal proof that the network-coded cooperative scheme can achieve the largest ergodic throughput with two sources involved in the cooperative transmission has been provided [7].
This paper extends a known design method to (i) benefit from hierarchical decompositions provided by engineering intuition, and to (ii) allow for a formal proof that the composition of the individual layers forms an overall solution.
Rather than verify the compiler, the approach of translation validation performs a validation check after every run of the compiler, producing a formal proof that the produced target code is a correct implementation of the source code.
We do not have formal proof that this would always happen but it is unlikely that the algorithm would get stuck in sub-optimal solution with wrong cluster allocation (CI > 0).
Neither the timing of a transcriptional response (early vs. late) nor the sensitivity of the response to CHX can be taken as formal proof that a given response is direct (i.e. ERα-mediated) or indirect.
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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