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Natural Language Reasoning Using Proof-Assistant Technology: Rich Typing and Beyond

2014-04-01 · WS 2014 4 · Stergios Chatzikyriakidis, Zhaohui Luo
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Natural Language Inference

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Natural Language Specifications in Proof Assistants

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Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal …

Translation

Trustworthy Formal Natural Language Specifications

2023-10-05 · Colin S. Gordon, Sergey Matskevich

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal …

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Natural Language Translation of Formal Proofs through Informalization of Proof Steps and Recursive Summarization along Proof Structure

2025-09-10 · Seiji Hattori, Takuya Matsuzaki, Makoto Fujiwara arxiv

This paper proposes a natural language translation method for machine-verifiable formal proofs that leverages the informalization (verbalization of formal language proof steps) and summarization capabilities of LLMs. For…

Learning to Prove Theorems via Interacting with Proof Assistants

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Humans prove theorems by relying on substantial high-level reasoning and problem-specific insights. Proof assistants offer a formalism that resembles human mathematical reasoning, representing theorems in higher-order lo…

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Modelling Value-oriented Legal Reasoning in LogiKEy

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The logico-pluralist LogiKEy knowledge engineering methodology and framework is applied to the modelling of a theory of legal balancing in which legal knowledge (cases and laws) is encoded by utilising context-dependent …

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