Deriving sorting algorithms via abductive logic program transformation

TL;DR

This paper presents a method for deriving efficient sorting algorithms from naive ones by combining logic program transformation with abductive reasoning to address subgoal-introduction challenges.

Contribution

It introduces a novel approach that integrates abductive logic programming with transformation techniques to synthesize optimized sorting algorithms.

Findings

Successfully derived efficient sorting algorithms from naive versions

Demonstrated the effectiveness of abductive reasoning in overcoming subgoal-introduction difficulties

Enhanced the process of logic program transformation for algorithm synthesis

Abstract

Logic program transformation by the unfold/fold method ad- vocates the writing of correct logic programs via the application of some rules to a naive program. This work focuses on how to overcome subgoal- introduction difficulties in synthesizing efficient sorting algorithms from an naive sorting algorithm, through logic program transformation and abductive reasoning.