TY - JOUR AU - Goldberg, Mayer PY - 1995/06/12 Y2 - 2024/03/29 TI - An Adequate Left-Associated Binary Numeral System in the lambda-Calculus JF - BRICS Report Series JA - BRICS VL - 2 IS - 42 SE - Articles DO - 10.7146/brics.v2i42.19943 UR - https://tidsskrift.dk/brics/article/view/19943 SP - AB - <p>This paper introduces a sequence of lambda-expressions, modelling the binary<br />expansion of integers. We derive expressions computing the test<br />for zero, the successor function, and the predecessor function, thereby<br />showing the sequence to be an adequate numeral system. These functions<br />can be computed efficiently. Their complexity is independent of<br />the order of evaluation.</p><p><br />Keywords: Programming calculi, lambda-calculus, functional programming.</p> ER -