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Hybrid eager and lazy evaluation for Haskell (Ph D thesis) by Maessen J-W

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By Maessen J-W

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The difference between strict, lazy, and eager evaluation is determined to a great extent by how letrec blocks are treated by the implementation. 55 Chapter 4 Evaluation strategies for λC Between call-by-value and lazy strategies there is an enormous space of possible eager strategies. The Eager Haskell implementation is simply one point in this space. In this chapter we characterize the space of eager languages by describing a series of evaluation strategies for the λC calculus. The strategies we use are defined by imposing additional structure on λC terms.

In this chapter we characterize the space of eager languages by describing a series of evaluation strategies for the λC calculus. The strategies we use are defined by imposing additional structure on λC terms. This additional structure evokes the structure of a real machine; the strategies we present here are designed to reflect actual language implementations. 1 Overview A term in the λC calculus usually has many possible redexes. A reduction strategy narrows the choice of redexes. The strategies we present in this chapter are under-specified: the strategy may consider more than one redex to be a candidate for reduction.

When viewing λC operationally, we will distinguish evaluated constructor applications by their position in the term. As noted in Chapter 2, the algebraic types in λC actually encompass three concepts at once: Lifting (distinguishing evaluated and unevaluated terms), pairing and projection, and sum types. This results in a large number of conversions on case expressions. We examine the conversions for each category separately. 44 Lifting A case expression can be discharged when its discriminant is a value (χd ).

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