## RESTRUCTURING FORMAL MATHEMATICS FOR NATURAL TEXTS (2004)

### BibTeX

@MISC{Holland-Minkley04restructuringformal,

author = {Amanda Mildred Holland-Minkley},

title = {RESTRUCTURING FORMAL MATHEMATICS FOR NATURAL TEXTS},

year = {2004}

}

### OpenURL

### Abstract

In the presence of growing collections of formal mathematics, and renewed interest in formal mathematics and automated theorem proving for new domains such as hardware or code verification, it is vital to be able to present formal content accessibly to broad audiences. We propose a novel approach to constructing a content planner for formal mathematics produced by a tactic-style prover which capitalizes on the inherent structure of the formal proofs. Though it had been posited that high-level formal structure is unsuitable as a source of information for text generation, due to its heuristic nature and necessary lack of details, we are able to show that this is not the case. Tactic-style proofs share significant structural commonality with the discourse structure of corresponding texts. These commonalities allow a content planner to be constructed which need only use low-level logical content as a supplementary information source to the generation process. To show that this is the case, we collected two corpora of texts generated to communicate the proof content of a series of formal proofs produced by the Nuprl