A Finite Hilbert‐Style Axiomatization of the Implication‐Less Fragment of the Intuitionistic Propositional Calculus
Jordi Rebagliato, Ventura Verdú · Mathematical logic quarterly · 1994
Abstract In this paper we obtain a finite Hilbert‐style axiomatization of the implicationless fragment of the intuitionistic propositional calculus. As a consequence we obtain finite axiomatizations of all structural closure operators on the algebra of {–}‐formulas containing this fragment. Mathematics Subject Classification: 03B20, 03B22, 06D15.