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A Note on the Exponential Relation in Peano Arithmetic II Export

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arithmetic exponential peano relation

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Introduction. The development of Peano arithmetic or of -recursive functions proceeds smoothly once the graph of the exponentiation function 2 x = y is dened as a 1 -predicate because one can code nite sequences as digits of 2 k -ary representation of numbers. Godel did the development with the help of his -function using the Chinese remainder theorem (see [Sho67]). A slightly simpler development is possible via p-adic concatenation (p is a prime) as suggested by Kripke (see...


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