对基于零级泛与运算的一阶谓词演算形式系统进行公理化。通过引入全称量词和存在量词,建立与命题形式系统观ULh∈(0.1)相对应的一阶谓词形式系统 ULh∈(0.1),证明了其可靠性定理和演绎定理。从而得到所给形式系统中的定理均为重言式,保证了推理的有效性。
The main aim of this paper is the axiomatization for O-order predicate calculus formal system based on O-level uni- versal and operator. By introducing the universal quantifier and existential quantifier, built up the predicate calculus formal de- ductive systemULh∈(0.1) based on O-level universal AND operator according to propositional calculus formal deductive system ULh∈(0.1) of universal logic, moreover,proved the soundness and deduction theorems of system ULh∈(0.1)So the theorems of given system are tautologies and the validity of reasoning are ensured.