A Fixed Point Iteration Technique for Proving Correctness of Slicing for Probabilistic Programs

Torben Amtoft; Anindya Banerjee

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arXiv · 2412.07086

A Fixed Point Iteration Technique for Proving Correctness of Slicing for Probabilistic Programs

Torben Amtoft·Anindya Banerjee

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Abstract

When proving the correctness of a method for slicing probabilistic programs, it was previously discovered by the authors that for a fixed point iteration to work one needs a non-standard starting point for the iteration. This paper presents and explores this technique in a general setting; it states the lemmas that must be established to use the technique to prove the correctness of a program transformation, and sketches how to apply the technique to slicing of probabilistic programs.

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Torben Amtoft, Anindya Banerjee. 2024-12-10. A Fixed Point Iteration Technique for Proving Correctness of Slicing for Probabilistic Programs. https://arxiv.org/abs/2412.07086

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