English

On Computationally Efficient Subsystems of Propositional Logic

Logic 2020-12-01 v1

Abstract

In this paper, we show that the derivability problem for the primal propositional logic remains solvable in polynomial time upon adding a certain form of the principle of equivalent form substitution; and that, upon adding another form of this principle, it becomes co-NP-hard.

Keywords

Cite

@article{arxiv.2011.14415,
  title  = {On Computationally Efficient Subsystems of Propositional Logic},
  author = {Inga Lev},
  journal= {arXiv preprint arXiv:2011.14415},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-23T20:34:52.308Z