PAL: Program-aided Language Models

Abstract: Large language models (LLMs) have recently demonstrated an impressive ability to perform arithmetic and symbolic reasoning tasks when provided with a few examples at test time (few-shot prompting). Much of this success can be attributed to prompting methods for reasoning, such as chain-of-thought, that employ LLMs for both understanding the problem description by decomposing it into steps, as well as solving each step of the problem. While LLMs seem to be adept at this sort of step-by-step decomposition, LLMs often make logical and arithmetic mistakes in the solution part, even when the problem is correctly decomposed. We present Program-Aided Language models (PaL): a new method that uses the LLM to understand natural language problems and generate programs as the intermediate reasoning steps, but offloads the solution step to a programmatic runtime such as a Python interpreter. With PaL, decomposing the natural language problem into runnable steps remains the only learning task for the LLM, while solving is delegated to the interpreter. We experiment with 12 reasoning tasks from BIG-Bench Hard and other benchmarks, including mathematical reasoning, symbolic reasoning, and algorithmic problems. In all these natural language reasoning tasks, generating code using an LLM and reasoning using a Python interpreter leads to more accurate results than much larger models, and we set new state-of-the-art results in all 12 benchmarks. For example, PaL using Codex achieves state-of-the-art few-shot accuracy on the GSM benchmark of math word problems when the model is allowed only a single decoding, surpassing PaLM-540B with chain-of-thought prompting by an absolute 8% .In three reasoning tasks from the BIG-Bench Hard benchmark, PaL outperforms CoT by 11%. On GSM-hard, a more challenging version of GSM that we create, PaL outperforms chain-of-thought by an absolute 40%.