The Predicate Formal System Based on 1-Level Universal AND Operator
نویسندگان
چکیده
The aim of this paper is the partial axiomatization for firstorder predicate calculus formal system based on first-level universal AND operator. By introducing the universal quantifier and existential quantifier, a predicate calculus formal deductive system ∀ULh∈(0,1] based on 1-level universal AND operator according to propositional calculus formal deductive system ULh∈(0,1] of universal logic is built up, moreover, the completeness of system ∀ULh∈(0,1] are proved. So it shows that the semantic and syntactic of system ∀ULh∈(0,1] are harmony.
منابع مشابه
Predicate Formal System based on 1-level Universal AND Operator and its Soundness
The aim of this paper is solving the predicate calculus formal system based on 1-level universal AND operator. Firstly, universal logic and propositional calculus formal deductive system (0 1] h UL∈ , are introduced. Secondly, a predicate calculus formal deductive system (0 1] h UL∈ , ∀ based on 1-level universal AND operator is built. Thirdly, the soundness theorem and deduction theorem of sys...
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