atomic claims: Individual, self-contained statements extracted from a longer text that can be independently verified
incomplete facts: Extracted claims that lack necessary context (e.g., conditions, comparandums) to be true or meaningful on their own
missing facts: Information present in the source text (often relational, like causality or timing) that is lost during the decomposition process
decontextualization: The process of rewriting a sentence fragment so it makes sense in isolation (e.g., resolving pronouns like 'he' to 'Barack Obama')
PDTB: Penn Discourse TreeBank—a corpus annotating discourse relations; used here to categorize missing relational facts like temporal or contingency connections
SAFE: Search-Augmented Factuality Evaluator—a baseline method that extracts and verifies facts using Google Search
FactCheck-GPT: A framework for checking LLM factuality that serves as the verification backbone for this paper
recall: In this context, the proportion of 'reference facts' (ground truth facts relevant to the query) that are successfully covered by the model's response