A Note on Bootstrapping Intuitionistic Bounded Arithmetic

  title={A Note on Bootstrapping Intuitionistic Bounded Arithmetic},
  author={Samuel R. Buss},
This paper, firstly, discusses the relationship between Buss’s definition and Cook and Urquhart’s definition of BASIC axioms and of IS 2 . The two definitions of BASIC axioms are not equivalent; however, each intuitionistically implies the law of the excluded middle for quantifier-free formulas. There is an elementary proof that the definitions of IS 2 are equivalent which is not based on realizability or functional interpretations. Secondly, it is shown that any negated positive consequence of… CONTINUE READING

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