English

Reconstructing a single-head formula to facilitate logical forgetting

Artificial Intelligence 2020-12-21 v1 Logic in Computer Science

Abstract

Logical forgetting may take exponential time in general, but it does not when its input is a single-head propositional definite Horn formula. Single-head means that no variable is the head of multiple clauses. An algorithm to make a formula single-head if possible is shown. It improves over a previous one by being complete: it always finds a single-head formula equivalent to the given one if any.

Keywords

Cite

@article{arxiv.2012.10191,
  title  = {Reconstructing a single-head formula to facilitate logical forgetting},
  author = {Paolo Liberatore},
  journal= {arXiv preprint arXiv:2012.10191},
  year   = {2020}
}
R2 v1 2026-06-23T21:04:29.065Z