The content discusses the importance of stable mergesort functions and their correctness through relational parametricity. It explores optimizations like tail-recursive and non-tail-recursive mergesorts, highlighting performance trade-offs between different implementations.
The paper introduces a methodology to prove the correctness of mergesort variations by characterizing them using relational parametricity. It explains how replacing merge with concatenation ensures stability in mergesort functions. Additionally, it delves into optimization techniques like tail-recursive and non-tail-recursive mergesorts, showcasing their efficiency in different evaluation strategies. The discussion extends to smooth mergesorts that leverage sorted slices in the input for improved performance.
Key points include the significance of stability in mergesort algorithms, the use of relational parametricity for correctness proofs, and the performance trade-offs between tail-recursive and non-tail-recursive implementations. The content also covers optimizations like smooth mergesorts and provides insights into efficient sorting strategies based on evaluation strategies.
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by Cyril Cohen,... klokken arxiv.org 03-14-2024
https://arxiv.org/pdf/2403.08173.pdfDypere Spørsmål