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单词 subformula
释义
subformula

Logic
  • For a formula φ in a recursively constructed language , any formula ψ an instance of which is employed in the inductive definition of φ, including φ itself. For example, in a language with a binary connective , one may have a clause:

    • if φ and ψ are formulae, then φψ is a formula.

    In this case, not only are φ and ψ subformulae of φψ, but the subformulae of φ and ψ themselves, appearing in the recursive construction of φψ, are subformulae of φψ.


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