The Scaling Properties of Implicit Deductive Reasoning in Transformers

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Summary

This research examines how deep Transformers with bidirectional masking achieve implicit deductive reasoning comparable to explicit chain-of-thought methods. The study demonstrates that algorithmically aligned models can scale reasoning capabilities across diverse graph topologies and problem widths.

We investigate the scaling properties of implicit deductive reasoning over Horn clauses in depth-bounded Transformers. By systematically decorrelating provability from spurious features and enforcing algorithmic alignment, we find that in sufficiently deep models with a bidirectional prefix mask, implicit reasoning approaches explicit CoT performance across graph topologies and problem widths, though CoT remains necessary for depth extrapolation.
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Source: https://huggingface.co/papers/2605.04330 Published on May 5

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Enricoon May 8

Abstract

Deep Transformers with bidirectional masking exhibit implicit deductive reasoning capabilities comparable to explicit chain-of-thought methods across various graph structures and problem sizes.

We investigate the scaling properties ofimplicit deductive reasoningoverHorn clausesindepth-bounded Transformers. By systematically decorrelating provability from spurious features and enforcingalgorithmic alignment, we find that in sufficiently deep models with abidirectional prefix mask, implicit reasoning approaches explicit CoT performance across graph topologies and problem widths, though CoT remains necessary for depth extrapolation.

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