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The phrase "a set of rigorous rules" is correct and usable in written English.
You can use it when referring to a collection of strict guidelines or standards that must be followed in a particular context.
Example: "The competition requires participants to adhere to a set of rigorous rules to ensure fairness and integrity."
Alternatives: "a collection of strict guidelines" or "a series of stringent regulations."
Exact(1)
The committees operate under a set of rigorous rules pertinent to Section 15 of the Federal Advisory Committee Act.
Similar(59)
The program came with a set of rigorous federal regulations.
The veterans have a chance to avoid jail by meeting a set of rigorous criteria.
It balances an admittedly chaotic ideation process with a set of rigorous, data-driven methods for evaluating ideas.
Behind "the softer side of Sears" is a set of rigorous leading indicators that measure attitudes, impressions, and future performance.
Set and Reset (1983) is the most famous of these, also Brown's first piece to music, a thrilling combination of rigorous rules and chance encounters, the dancers slipping fluidly around each other in a rippling forcefield of motion.
Normalization consists of a set of rules called Normal Forms.
You create a set of arbitrary rules.
Baseball has a set of official rules.
This primary rule set was pruned to a set of 29 rules, whose performance is displayed in Figure 2B,C.
For rule-based reasoners, the OWL ontology definitions are first compiled into a set 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