The Logic and Expressibility of Simply-typed Call-by-value and Lazy Languages (1991)
BibTeX
@MISC{Meyer91thelogic,
author = {Albert R. Meyer and Campbell L. Searle and Jon G. Riecke and Jon Gary Riecke},
title = {The Logic and Expressibility of Simply-typed Call-by-value and Lazy Languages},
year = {1991}
}
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Abstract
We study the operational, denotational, and axiomatic semantics of lazy and call-by-value functional languages, and use these semantics to build a new expressiveness theory for comparing functional languages. The first part of the thesis develops the theory of lazy and call-by-value languages separately, following paradigmatic studies of call-by-name functional languages. We first describe the operational semantics of two simply-typed languages, lazy PCF and call-byvalue PCF. These two languages provide enough intuition to describe general definitions of denotational models and logics for lazy and call-by-value languages. We prove, via a completeness theorem, that the definitions of models and logic coincide for both the lazy and call-by-value theories. The second part of the thesis compares the two kinds of languages via translations. Specifically, we develop the idea of a fully abstract translation and define new fully abstract translations from call-by-value PCF to lazy PCF, and vi...
