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The phrase "a fixed set of rules" is correct and usable in written English.
It can be used in many different contexts to refer to a system of rules that are unchanging and unalterable. For example: "The game was played according to a fixed set of rules, so no one could change the outcome of the match."
Exact(11)
Smoothly operating structures governed by a fixed set of rules help them to protect their wealth".
"They think language should be used by a fixed set of rules -- always their rules".
It is important to note that the pledge does not seek to engrave in stone a fixed set of rules.
Unlike, say, chess, which is grounded in a fixed set of rules, there are no hard-and-fast formulas for comedy.
To the degree that this knowledge can be reduced to a fixed set of rules and facts, it would be hard for even the most experienced leader to compete with a machine.
The other big issue with the existing systems, Ballinger continues, is that they use a fixed set of rules.
Similar(49)
While the theological ramifications of one of the world's central creation stories are profound, a simple take--obedience to a fixed set of rules--is something we can all understand.
Furthermore, some conservatism in complying with the fixed set of rules and regulations of the political system prevailed, and there was a lack of organisational opportunity to act and to obtain internal financial support from the project consortium.
By applying a fixed set of priority rules the computational complexity for each agent is reduced compared to the centralized case.
I know — vita brevis, and all that — but for the layman, there seems little to be gained from "understanding" literature in this way, and it's questionable whether literature benefits at all from being approached systematically — the way we can approach nature, for instance — since literature doesn't follow a fixed set of discoverable rules.
Interviews were transcribed verbatim with a fixed set of transcription rules and analyzed qualitatively with the interpretative phenomenological analysis (IPA) approach.
More suggestions(17)
a certain set of rules
a modified set of rules
a fixed set of criteria
a fixed set of standard
a revised set of rules
a predetermined set of rules
a defined set of rules
a fixed number of rules
a fixed set of commands
a new set of rules
a fixed set of premises
a fixed cost of rules
a fixed fee of rules
a national set of rules
a fixed measure of rules
a different set of rules
a fixed medium of rules
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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