The loop invariant plays an important role in the intuitive argument for soundness of the Floyd-Hoare rule for while loops.
12.
The loop invariant does not affect the meaning of the program and, in some sense, might be considered as unnecessary.
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For example, a loop invariant is a condition that is true at the beginning and end of every execution of a loop.
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The loop invariant has to be true before each iteration of the loop body, and also after each iteration of the loop body.
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However, the loop invariant is required to help the automated verifier using in the Whiley Compiler to prove this function meets its specification.
16.
"' Whiley "'is a general purpose statically typed and supports formal specification through function preconditions, postconditions and loop invariants.
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In fact, the loop invariant is often the same as the inductive hypothesis to be proved for a recursive program equivalent to a given loop.
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In general, loop invariant dependencies and lexically forward dependencies can be easily vectorized, and lexically backward dependencies can be transformed into lexically forward dependencies.
19.
The loop invariant must be shown to hold on entry to the loop, for any given iteration of the loop and when the loop exits.
20.
In this case, the declaration prevents the need for an additional loop invariant of the form where i > = 0 which would otherwise be necessary.
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