Anna Glenszczyk

We investigate monadic fragments of Intuitionistic Control Logic, which is obtained from Intuitionistic Propositional Logic by extending language of IPL by a constant distinct from intuitionistic constants. In particular we present the complete description of purely negational fragment and show that most of monadic fragments are finite.

We investigate properties of monadic purely negational fragment of Intuitionistic Control Logic ). This logic arises from Intuitionistic Propositional Logic ) by extending language of \ 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 \