Graduate studies at Western
Notre Dame Journal of Formal Logic 38 (1):81-92 (1997)
|Abstract||We consider the theory and its weak fragments in the language of arithmetic expanded with the functional symbol . We prove that and its weak fragments, down to and , are subject to the Tennenbaum phenomenon with respect to , , and . For the last two theories it is still unknown if they may have nonstandard recursive models in the usual language of arithmetic|
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