"rigorous logic" is a correct and usable phrase in written English. You can use it whenever you need to describe logical reasoning that is precise, exact and of the highest quality. For example, "He used rigorous logic to solve the complex equation, finally arriving at the correct solution.".
And Churchill pursues her premise with rigorous logic.
All this is followed through with rigorous logic.
Yes, fine, the Joker might be right that we're fools to expect rigorous logic from one of the most experimental Batman stories in years.
With his alien beauty and ineffable cool, Bowie is a daunting act to match, but Clark responds to Heroes with a daring, rigorous logic.
Description logics, a family of knowledge representation languages for authoring ontologies, are well-known for having rigorous logic-based semantics which supports semantic interoperability.
Like the Stockhausen, it has violent lurches, but even in those it demands crystalline textures and a sense of rigorous structural logic.
Thomas Larcher's Second Symphony, meanwhile, made a huge impression at its UK premiere: an immensely powerful work that combines rigorous structural logic with an angry lament for those who drowned in the Mediterranean during the refugee crisis.
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Ha Thuy Vy
MA of Applied Linguistic, Maquarie University, Australia