Linear Recursion

Computer Science – Logic in Computer Science

Scientific paper

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24 pages

Scientific paper

We show that the full PCF language can be encoded in Lrec, a linear lambda-calculus extended with numbers, pairs and an unbounded recursor that preserves the syntactic linearity of the calculus. Thus, Lrec is a Turing complete extension of the linear lambda-calculus. We discuss evaluation strategies and implementation techniques for Lrec, exploiting the linearity of the system.

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