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Interpretations of the first-order theory of diagonalizable algebras in peano arithmetic

Studia Logica 39 (4):347 - 354 (1980)
For every sequence |p n } n of formulas of Peano ArithmeticPA with, every formulaA of the first-order theory diagonalizable algebras, we associate a formula 0 A, called the value ofA inPA with respect to the interpretation. We show that, ifA is true in every diagonalizable algebra, then, for every, 0 A is a theorem ofPA.
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