arXiv:1307.5277cs.PL
Formalisation of the lambda aleph Runtime
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Abstract
In previous work we describe a novel approach to dependent typing based on a multivalued term language. In this technical report we formalise the runtime, a kind of operational semantics, for that language. We describe a fairly comprehensive core language, and then give a small-step operational semantics based on an abstract machine. Errors are explicit in the semantics. We also prove several simple properties: that every non-terminated machine state steps to something and that reduction is deterministic once input is fixed.
Tim Sweeney (Unreal Engine) has also written about haskell and specifically STM (http://www.st.cs.uni-saarland.de/edu/seminare/2005/advanced-...) and more recently on dependently typed languages (http://arxiv.org/pdf/1307.5277v1.pdf).
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