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An optimizing compiler attempts to reduce code size and execution time. Which mechanism allows it to correctly transform expressions while preserving their formal mathematical meaning?

A)Instruction set architecture limitations
B)Equational reasoning using formal semantics
C)Heuristic-based code reordering rules
D)Statistical probability-based optimization

💡 Explanation

Equational reasoning, which uses formal semantics, enables compilers to transform code while maintaining mathematical correctness because it relies on provable equivalences rather than approximations; therefore, the meaning is preserved, rather than using heuristic rules or statistical guesses that may alter the intended behavior.

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