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Reasoning Like Program Executors (2201.11473v2)

Published 27 Jan 2022 in cs.CL, cs.AI, and cs.SC

Abstract: Reasoning over natural language is a long-standing goal for the research community. However, studies have shown that existing LLMs are inadequate in reasoning. To address the issue, we present POET, a novel reasoning pre-training paradigm. Through pre-training LLMs with programs and their execution results, POET empowers LLMs to harvest the reasoning knowledge possessed by program executors via a data-driven approach. POET is conceptually simple and can be instantiated by different kinds of program executors. In this paper, we showcase two simple instances POET-Math and POET-Logic, in addition to a complex instance, POET-SQL. Experimental results on six benchmarks demonstrate that POET can significantly boost model performance in natural language reasoning, such as numerical reasoning, logical reasoning, and multi-hop reasoning. POET opens a new gate on reasoning-enhancement pre-training, and we hope our analysis would shed light on the future research of reasoning like program executors.

Citations (49)

Summary

  • The paper introduces POET, a paradigm that pre-trains language models on programs and their execution results to markedly improve reasoning capabilities.
  • POET-Math, POET-Logic, and POET-SQL demonstrate significant performance gains on six benchmark datasets across numerical, logical, and multi-hop reasoning tasks.
  • The study paves the way for future research in neuro-symbolic reasoning and the integration of program execution with traditional language modeling to advance AI applications.

Analysis of "Reasoning Like Program Executors"

The paper "Reasoning Like Program Executors" presents a novel paradigm named POET (Program Executor) aimed at improving natural language reasoning capabilities in LLMs (LM). Existing LLMs, despite achieving high language understanding performance, fall short in reasoning scenarios such as numerical, logical, and multi-hop reasoning. The authors introduce POET as a straightforward yet effective reasoning pre-training paradigm that leverages program executors' knowledge by pre-training LMs with programs and their execution results rather than traditional noisy natural language data. The paper details three instances of POET: POET-Math, POET-Logic, and POET-SQL, each focusing on different reasoning tasks and capabilities.

Pre-training Paradigm: POET

The pre-training paradigm proposed, POET, seeks to internalize reasoning mechanisms from symbolic representations, such as SQL queries and mathematical expressions, into LMs. The key concept involves pre-training LLMs to mimic the outputs of program executors like MySQL and Python interpreters. The intuitive process includes feeding the LLM a program along with its execution result, thus instilling reasoning knowledge encoded in program execution procedures.

POET Instances and Experimental Validation

  • POET-Math: This instance targets numerical reasoning skills by using simple arithmetic programs, thereby enhancing models' capability in tasks requiring basic arithmetic operations.
  • POET-Logic: Focuses on logical reasoning using first-order logical statements. The objective is to help LLMs to effectively deduce implications from a given set of premises.
  • POET-SQL: Unlike the other instances, POET-SQL encapsulates multiple reasoning skills simultaneously by leveraging the complexity of SQL execution. This instance demonstrates substantial performance improvements across benchmarks requiring diverse reasoning capabilities.

The experimental evaluation on six benchmark datasets reveals that POET substantially enhances LMs' performance in reasoning tasks compared to vanilla models. The paper highlights improvements in specific domains like numerical and logical reasoning, asserting the transferability of reasoning skills from program execution to natural language contexts.

Implications and Future Developments

The implications of successfully imitating program executors for reasoning enhancement in LMs are significant both practically and theoretically. Practically, this approach grants models a more robust reasoning foundation, leading to improved performance in diverse NL reasoning tasks. Theoretically, it opens up research avenues into neuro-symbolic reasoning, encouraging further exploration on how symbolic reasoning knowledge can be internalized into LMs.

Looking forward, the paper suggests investigating the transference mechanism of reasoning capabilities from program executors and potentially integrating POET with joint pre-training on both program execution and traditional LLMing tasks. Future developments could also explore extending POET to cover more complex reasoning types and apply it to emerging AI applications where enhanced reasoning is imperative.

Overall, this paper contributes a compelling argument for reconsidering the structure of pre-training paradigms to foster more reasoning-focused LMs that are equipped to handle the intricacies of natural language comprehension in sophisticated, reasoning-required contexts.

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