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ProofWriter: Generating Implications, Proofs, and Abductive Statements over Natural Language (2012.13048v2)

Published 24 Dec 2020 in cs.CL and cs.AI

Abstract: Transformers have been shown to emulate logical deduction over natural language theories (logical rules expressed in natural language), reliably assigning true/false labels to candidate implications. However, their ability to generate implications of a theory has not yet been demonstrated, and methods for reconstructing proofs of answers are imperfect. In this work we show that a generative model, called ProofWriter, can reliably generate both implications of a theory and the natural language proof(s) that support them. In particular, iterating a 1-step implication generator results in proofs that are highly reliable, and represent actual model decisions (rather than post-hoc rationalizations). On the RuleTaker dataset, the accuracy of ProofWriter's proofs exceed previous methods by +9% absolute, and in a way that generalizes to proof depths unseen in training and on out-of-domain problems. We also show that generative techniques can perform a type of abduction with high precision: Given a theory and an unprovable conclusion, identify a missing fact that allows the conclusion to be proved, along with a proof. These results significantly improve the viability of neural methods for systematically reasoning over natural language.

Transformative Approaches to Systematic Reasoning in Natural Language with ProofWriter

The development of neural models for automated reasoning over natural language theories marks a significant stride in artificial intelligence research. The paper introduces ProofWriter, a generative model designed to generate implications, proofs, and abductive statements in natural language reasoning domains. This model builds upon prior advancements in transformers, enhancing their capabilities beyond mere label assignment in logical deduction.

Overview of ProofWriter

ProofWriter addresses critical limitations of earlier models like RuleTaker, by enabling the generation of implications and reconstructing proofs in natural language. The emergence of such a model is poised to offer more comprehensive and explainable reasoning solutions. With transformers having previously demonstrated logical deduction capabilities over natural language theories, ProofWriter extends these capabilities by autonomously generating proofs and implications.

Key Features and Capabilities

The authors propose a unique iterative approach in ProofWriter, focusing on generating 1-step implications and iteratively building complex proofs. This strategy allows for an impressive increase in accuracy over prior models, as evidenced by a +9% improvement in proof accuracy on the RuleTaker dataset. This method not only supports generalization to out-of-domain problems but also aligns with actual model decisions rather than post-hoc rationalizations.

A standout feature of ProofWriter is its capacity for abduction. The model can suggest missing facts that would allow the proof of an otherwise unprovable conclusion when supplemented to the existing theory. This function significantly enhances the model's robustness and flexibility, particularly in open-world assumption settings, where proving all facts within a closed framework is infeasible.

Numerical Results and Claims

ProofWriter's efficacy is validated through rigorous testing on diverse datasets, including the RuleTaker dataset and its variants. The model achieves state-of-the-art results, with its two-pronged approach (All-At-Once and Iterative ProofWriter) yielding similar high performance, yet showcasing the iterative model's superior generalization to unseen proof depths. In out-of-domain evaluations, such as the Birds-Electricity datasets, ProofWriter exhibits considerable robustness, further demonstrating its comprehensive reasoning capabilities.

Implications and Future Developments

From a theoretical perspective, ProofWriter reinforces the potential of transformers in logical reasoning tasks, highlighting the benefits of a generative framework over traditional classification. Practically, its ability to enumerate implications and conduct abductive reasoning makes it highly applicable in real-world scenarios where understanding causal relationships and generating rationales are essential.

The success of ProofWriter opens avenues for advancing neural reasoning systems. Future work could integrate elements of retrieval-based methods to manage larger theories or explore hybrid approaches combining backward chaining with guided forward-chaining strategies to enhance efficiency. Additionally, expanding the model's reasoning capacity with implicit knowledge could broaden its applicability.

In conclusion, ProofWriter establishes a robust foundation for systematic reasoning over natural language, setting precedent for future innovations in AI-driven logical inference. Its generative approach and focus on producing verifiable, faithful proofs align with the growing demand for transparent and interpretable AI systems, fostering trustworthy deployment in critical applications.

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Authors (3)
  1. Oyvind Tafjord (49 papers)
  2. Bhavana Dalvi Mishra (26 papers)
  3. Peter Clark (108 papers)
Citations (230)
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