Proof-Based Synthesis of Sorting Algorithms Using Multisets in Theorema

4 Sep 2019Isabela DrămnescTudor Jebelean

Using multisets, we develop novel techniques for mechanizing the proofs of the synthesis conjectures for list-sorting algorithms, and we demonstrate them in the Theorema system. We use the classical principle of extracting the algorithm as a set of rewrite rules based on the witnesses found in the proof of the synthesis conjecture produced from the specification of the desired function (input and output conditions)... (read more)

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