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Negational Fragment of Intuitionistic Control Logic

Logic 2014-08-12 v1 Logic in Computer Science

Abstract

We investigate properties of monadic purely negational fragment of Intuitionistic Control Logic (ICL). This logic arises from Intuitionistic Propositional Logic (IPL) by extending language of IPL by additional new constant for falsum. Having two different falsum constants enables to define two forms of negation. We analyse implicational relations between negational monadic formulae and present a poset of non equivalent formulae of this fragment of ICL.

Keywords

Cite

@article{arxiv.1408.2129,
  title  = {Negational Fragment of Intuitionistic Control Logic},
  author = {Anna Glenszczyk},
  journal= {arXiv preprint arXiv:1408.2129},
  year   = {2014}
}

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Draft, 22 pages