Title
Untyped Lambda-Calculus with Input-Output
Abstract
We introduce an untyped -calculus with input-output, based on Gordon's continuation-passing model of input-output. This calculus is intended to allow the classification of possibly infinite input-output behaviors, such as those required for servers or distributed systems. We define two terms to be operationally approximate iff they have similar behaviors in any context. We then define a notion of applicative approximation and show that it coincides with operational approximation for these new behaviors. Last, we consider the theory of pure -terms under this notion of operational equivalence.
Year
DOI
Venue
1996
10.1007/3-540-61064-2_46
CAAP
Keywords
Field
DocType
untyped lambda-calculus,lambda calculus,distributed system,input output
Lambda calculus,Algebra,Typed lambda calculus,Normalisation by evaluation,Simply typed lambda calculus,Computer science,System F,Lambda lifting,Church encoding,Higher-order function
Conference
ISBN
Citations 
PageRank 
3-540-61064-2
5
0.43
References 
Authors
8
2
Name
Order
Citations
PageRank
Jerzy Tiuryn11210126.00
Mitchell Wand21499293.30