The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of ...

We give a direct proof of admissibility of cut and contraction for the contraction-free sequent calculus G4ip for intuitionistic propositional logic and for a corresponding multi-succedent calculus: ...

Figure 1: Molecular implementation of propositional logic statements and deductions. Using this system one can specify logic programs with facts and rules as well as various queries as a text file. A ...