An Elementary Fragment of Second-Order Lambda Calculus

Computer Science – Logic in Computer Science

Scientific paper

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16 pages; corrections

Scientific paper

A fragment of second-order lambda calculus (System F) is defined that
characterizes the elementary recursive functions. Type quantification is
restricted to be non-interleaved and stratified, i.e., the types are assigned
levels, and a quantified variable can only be instantiated by a type of smaller
level, with a slightly liberalized treatment of the level zero.

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