Going Bananas! - Unfolding Program Synthesis with Origami

TL;DR

This paper introduces Origami, a program synthesis technique leveraging recursion schemes like folding and unfolding to improve the synthesis of recursive programs, demonstrating superior performance on benchmark problems.

Contribution

The work extends the Origami technique by incorporating various recursion schemes, enhancing its ability to synthesize complex recursive programs more effectively.

Findings

Origami outperforms previous algorithms on benchmark suite

Achieves 25% more problem solutions than HOTGP

Consistently finds solutions where others struggle

Abstract

Automatically creating a computer program using input-output examples can be a challenging task, especially when trying to synthesize computer programs that require loops or recursion. Even though the use of recursion can make the algorithmic description more succinct and declarative, this concept creates additional barriers to program synthesis algorithms such as the creation and the (tentative) evaluation of non-terminating programs. One reason is that the recursive function must define how to traverse (or generate) the data structure and, at the same time, how to process it. In functional programming, the concept of recursion schemes decouples these two tasks by putting a major focus on the latter. This can also help to avoid some of the pitfalls of recursive functions during program synthesis, as argued in a previous work where we introduced the Origami technique. In our previous paper, we showed how this technique was effective in finding solutions for programs that require folding lists. In this work, we incorporate other recursion schemes into Origami, such as accumulated folding, unfolding, and the combination of unfolding and folding. We evaluated Origami on the 29 problems of the standard General Program Synthesis Benchmark Suite 1, obtaining favorable results against other well-known algorithms. Overall, Origami achieves the best result in 25% more problems than its predecessor (HOTGP) and an even higher increase when compared to other approaches. Not only that, but it can also consistently find a solution to problems that many algorithms report a low success rate.