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The phrase "account of computation" is correct and usable in written English.
It can be used when discussing a detailed explanation or description of a computational process or method.
Example: "The research paper provided a comprehensive account of computation used in the algorithm's development."
Alternatives: "description of computation" or "narrative of computation".
Exact(21)
The syntactic account of computation is not very popular.
And if so, the syntactic account of computation collapses into the semantic account.
Under this account of computation, the ontological claim of ontic pancomputationalism is a version of Pythagoreanism.
In this syntactic account of computation, the notion of representation is not used at all.
This assumption can be resisted without abandoning the semantic account of computation.
As discussed in the previous section, however, using the notion of representation in an account of computation involves some difficulties.
Similar(39)
One of the earliest and most influential accounts of computation is due to Hilary Putnam.
By imposing restrictions on which mappings are legitimate, other accounts of computation aim to avoid unlimited pancomputationalism.
According to the traditional conception, which is presupposed by all accounts of computation discussed above, physical computation requires a physical substratum that implements it.
The remaining accounts of computation — the semantic, syntactic, and mechanistic accounts — are even more restrictive than the causal and counterfactual accounts; they impose further constraints on acceptable mappings.
One way to construct accounts of computation that are more restrictive than the simple mapping account is to impose a constraint on acceptable mappings.
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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