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BetaReduction As Unification
, 1996
"... this report, we use a lean version of the usual system of intersection types, whichwe call . Hence, UP is also an appropriate unification problem to characterize typability of terms in . Quite apart from the new light it sheds on fireduction, such an analysis turns out to have several othe ..."
Abstract

Cited by 13 (9 self)
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this report, we use a lean version of the usual system of intersection types, whichwe call . Hence, UP is also an appropriate unification problem to characterize typability of terms in . Quite apart from the new light it sheds on fireduction, such an analysis turns out to have several other benefits
A Linearization of the LambdaCalculus and Consequences
, 2000
"... We embed the standard #calculus, denoted #, into two larger #calculi, denoted # # and &# # . The standard notion of #reduction for # corresponds to two new notions of reduction, # # for # # and &# # for &# # . A distinctive feature of our new calculus # # (resp., &# # ) is that, i ..."
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Cited by 2 (0 self)
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We embed the standard #calculus, denoted #, into two larger #calculi, denoted # # and &# # . The standard notion of #reduction for # corresponds to two new notions of reduction, # # for # # and &# # for &# # . A distinctive feature of our new calculus # # (resp., &# # ) is that, in every function application, an argument is used at most once (resp., exactly once) in the body of the function. We establish various connections between the three notions of reduction, #, # # and &# # . As a consequence, we provide an alternative framework to study the relationship between #weak normalization and #strong normalization, and give a new proof of the oftmentioned equivalence between #strong normalization of standard #terms and typability in a system of "intersection types".