Name
Abstract | ||
|---|---|---|
The existing call-by-need λ describe lazy evaluation via equational logics. A programmer can use these logics to safely ascertain whether one term is behaviorally equivalent to another or to determine the value of a lazy program. However, neither of the existing calculi models evaluation in a way that matches lazy implementations. Both calculi suffer from the same two problems. First, the calculi never discard function calls, even after they are completely resolved. Second, the calculi include re-association axioms even though these axioms are merely administrative steps with no counterpart in any implementation. In this paper, we present an alternative axiomatization of lazy evaluation using a single axiom. It eliminates both the function call retention problem and the extraneous re-association axioms. Our axiom uses a grammar of contexts to describe the exact notion of a needed computation. Like its predecessors, our new calculus satisfies consistency and standardization properties and is thus suitable for reasoning about behavioral equivalence. In addition, we establish a correspondence between our semantics and Launchbury's natural semantics. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/978-3-642-28869-2_7 | european symposium on programming |
Keywords | DocType | Volume |
existing calculi models evaluation,single axiom,call-by-need lambda calculus,extraneous re-association axiom,function call retention problem,lazy program,natural semantics,re-association axiom,lazy evaluation,function call,lazy implementation,lambda calculus | Conference | abs/1201.3907 |
ISSN | Citations | PageRank |
0302-9743 | 14 | 0.81 |
References | Authors | |
17 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stephen Chang | 1 | 24 | 4.07 |
| Matthias Felleisen | 2 | 3001 | 272.57 |