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New scope grammar counts logical readings of natural language rules

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a "scope grammar" to analyze the logical ambiguity in natural language rules, particularly concerning how connectives are bracketed. This grammar, a context-free grammar, maps derivation trees to logical readings of a connective skeleton. The study focuses on counting and enumerating these readings modulo logical equivalence, finding that the number of distinct readings is significantly less than the number of possible bracketings. The research identifies conditions for ambiguity and provides a method for counting distinct readings, with potential applications in autoformalization. AI

IMPACT Introduces a formal framework for understanding logical ambiguity in rules, potentially aiding AI systems in precise interpretation and autoformalization.

RANK_REASON Academic paper detailing a new formal grammar for analyzing logical ambiguity in natural language. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New scope grammar counts logical readings of natural language rules

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Academic paper detailing a new formal grammar for analyzing logical ambiguity in natural language. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.CL TIER_1 English(EN) · Sherzod Turaev, Mary John ·

    The Scope Grammar of Natural-Language Rules: Counting and Enumerating Readings modulo Logical Equivalence

    arXiv:2611.01825v1 Announce Type: cross Abstract: A rule written for people fixes its atomic conditions and connectives but leaves open how the connectives are bracketed, and each bracketing is a different logical reading that an autoformalizer must resolve or expose. We study th…

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