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Everything about Loop variant

In computer science, a loop variant is a mathematical function defined on the state space of a computer program whose value is monotonically decreased with respect to a (strict) well-founded relation by the iteration of a while loop under some invariant conditions, thereby ensuring its termination. A loop variant whose range is restricted to the non-negative integers is also known as a bound function, because in this case it provides a trivial upper bound on the number of iterations of a loop before it terminates. However, a loop variant may be transfinite, and thus is not necessarily restricted to integer values. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Loop variantA 5-minute orientation
  2. Skim a recent paper: Time-variant reliability global sensitivity analysis with single-loop Kriging model combined with importance samplingInfluential work since 2022
  3. Pick up a classic book: Objects first with JavaThe most-reprinted book on the subject
  4. Read the landmark paper: A novel single-loop procedure for time-variant reliability analysis based on Kriging modelCited 73 times
  5. Go sideways: Termination analysisA closely related topic
  6. Go sideways: Recursion (computer science)A closely related topic

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