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The phrase "a program that generates" is correct and usable in written English.
You can use it when describing software or applications that create or produce something, such as data, content, or outputs.
Example: "The software is a program that generates reports based on user input and data analysis."
Alternatives: "a tool that creates" or "an application that produces".
Exact(8)
child of something called Standup (for System to Augment Non-Speakers' Dialogue Using Puns), a program that generates punning riddles to help kids with language disabilities increase their verbal skills.
Although a "Quine" is defined in the New Hackers Dictionary as "a program that generates a copy of its own source text as its complete output," Mr. Quine never wrote on a computer, always preferring the 1927 Remington typewriter that he first used for his doctoral thesis.
We developed a program that generates an NCL document of a certain size, introduces modifications in that document and submits it to validation.
Though EPI's proposal is not intended as a criticism of the White House, it certainly raises the question: Why did Congress pass legislation in February for a program that generates a million less jobs and costs twice as much?
About 10 years after that, a program that generates music in the style of composers such as Mozart and Mahler produced pieces that experts couldn't tell from the real thing.
For the RNAiSelect algorithm to work, we first wrote a program that generates a seed table which holds the exact genomic location(s) for every possible 9-nt sequence (4∧9, or 262.144 sequences).
Similar(52)
Typically the machine was used to perform complex mathematics but Mr Strachey put it to more whimsical use by writing a program that generated texts that were intended to arouse emotion.
To provide a tool for further research, we developed a MATLAB program that generates bouts of vocalizations that correspond to mice of different ages.
A computer program that generates random numbers is the source of predictions in Big Blue, but help also comes from psychics.
VolSurf is a computational program that generates 2D molecular descriptors from 3D molecular interaction energy grid maps (Cruciani et al., 2000a; Cruciani et al., 2000b).
Beginning at embryo stage 11, the tracheal pits invaginate, elongate and mold into more complex shapes, following a stereotyped program that generates the major tracheal branches (Samakovlis et al., 1996).
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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