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Sequence encoding without induction
Authors:Emil Jeřábek
Institution:Institute of Mathematics of the Academy of Sciences, ?itná 25, 115 67 Praha 1, Czech Republic
Abstract:We show that the universally axiomatized, induction‐free theory $\mathsf {PA}^-$ is a sequential theory in the sense of Pudlák's 5 , in contrast to the closely related Robinson's arithmetic.
Keywords:Sequential theory  weak arithmetic  msc (2010) 03F30
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