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Linear numeral systems

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We take a fresh look at an old problem of representing natural numbers in the lambda-calculus. Our interest is in finding representations where we can compute efficiently (and where possible, in constant time) the following functions: successor, predecessor, addition, subtraction and test for zero. Surprisingly, we find a solution in the linear lambda-calculus, where copying and erasing are not permitted.

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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