This project is currently an implementation of a proof-checker. But it is planned to be extended; for example, to support algorithm extraction from intuitionistic proofs, which is considered to be an interesting feature.
I propose the following statement (for PA): every natural number is either even, or odd.
That is,
forall<variable, disjunction<
exists<k, equal< variable, sum<variable, variable> >>,
exists<k, equal< S<variable>, S<sum<variable, variable> >>
I propose the following statement (for PA): every natural number is either even, or odd. That is, forall<variable, disjunction<
exists<k, equal< variable, sum<variable, variable> >>,
exists<k, equal< S<variable>, S<sum<variable, variable> >>