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arxiv: 1201.5835 · v1 · pith:P2YGQI7Dnew · submitted 2012-01-27 · 🧮 math.LO · cs.LO

Sequence encoding without induction

classification 🧮 math.LO cs.LO
keywords theoryarithmeticaxiomatizedcloselycontrastencodinginductioninduction-free
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We show that the universally axiomatized, induction-free theory PA^- is a sequential theory in the sense of Pudl\'ak [5], in contrast to the closely related Robinson's arithmetic.

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