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Calc-X and Calcformers: Empowering Arithmetical Chain-of-Thought through Interaction with Symbolic Systems

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arxiv 2305.15017 v2 pith:2LN2KMIN submitted 2023-05-24 cs.LG cs.AIcs.CL

classification cs.LGcs.AIcs.CL
keywords calc-xmodelscalcformerscollectiondatasetslanguagearithmeticchain-of-thought
verification ladder T0 review T1 audit T2 compute T3 formal
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Despite outstanding performance in many tasks, language models are notoriously inclined to make factual errors in tasks requiring arithmetic computation. We address this deficiency by creating Calc-X, a collection of datasets that demonstrates the appropriate use of a calculator in reasoning chains. Calc-X is suitable for teaching language models to offload computations to a symbolic system. We survey and unify several existing chain-of-thought datasets into a proposed format, resulting in a standard collection of over 300,000 samples requiring arithmetic reasoning. Finally, we use the new Calc-X collection to train open-source calculator-using models we call Calcformers and show that these models approximately double the accuracy of generating correct results compared to vanilla language model baselines. We make all Calc-X datasets, source code and Calcformers models publicly available.

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