Department of Mathematics, University of Zagreb, GF, Kaciceva 26, POB-217, HR-10001 Zagreb, Croatia; email@example.com; http://m3k.grad.hr/pavicic
Abstract. Unified quantum logic which is a propositional logic underlying quantum formalism is given a new much simplified axiomatization. A statistical basis for this propositional logical system is given so as to interpret unified quantum logic as a system of deduction. The soundness and completeness of algebraic semantics are proved. Kripkean and probabilistic semantics are discussed.
PACS numbers: 03.65.Bz
Keywords: quantum logic, quantum measurements.