BRICS Report Series https://tidsskrift.dk/brics Aarhus University en-US BRICS Report Series 0909-0878 <p><a href="http://creativecommons.org/licenses/by-nc-nd/3.0/" rel="license"><img src="http://i.creativecommons.org/l/by-nc-nd/3.0/80x15.png" alt="Creative Commons License" /></a></p><p>Articles published in DAIMI PB are licensed under a <a href="http://creativecommons.org/licenses/by-nc-nd/3.0/" rel="license">Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License</a>.</p> Towards Compatible and Interderivable Semantic Specifications for the Scheme Programming Language, Part I: Denotational Semantics, Natural Semantics, and Abstract Machines https://tidsskrift.dk/brics/article/view/21942 We derive two big-step abstract machines, a natural semantics, and the valuation function of a denotational semantics based on the small-step abstract machine for Core Scheme presented by Clinger at PLDI'98. Starting from a functional implementation of this small-step abstract machine, (1) we fuse its transition function with its driver loop, obtaining the functional implementation of a big-step abstract machine; (2) we adjust this big-step abstract machine so that it is in defunctionalized form, obtaining the functional implementation of a second big-step abstract machine; (3) we refunctionalize this adjusted abstract machine, obtaining the functional implementation of a natural semantics in continuation style; and (4) we closure-unconvert this natural semantics, obtaining a compositional continuation-passing evaluation function which we identify as the functional implementation of a denotational semantics in continuation style. We then compare this valuation function with that of Clinger's original denotational semantics of Scheme. Olivier Danvy ##submission.copyrightStatement## 2008-07-12 2008-07-12 7 10.7146/brics.v15i7.21942