Typed Normal Form Bisimulation

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Typed Normal Form Bisimulation
Normal form bisimulation is a powerful theory of program equivalence, originally developed to characterize L´evy-Longo tree equivalence and Boehm tree equivalence. It has been adapted to a range of untyped, higher-order calculi, but types have presented a difficulty. In this paper, we present an account of normal form bisimulation for types, including recursive types. We develop our theory for a continuation-passing style calculus, Jump-With-Argument (JWA), where normal form bisimilarity takes a very simple form. We give a novel congruence proof, based on insights from game semantics. A notable feature is the seamless treatment of eta-expansion. We demonstrate the normal form bisimulation proof principle by using it to establish a syntactic minimal invariance result and the uniqueness of the fixed point operator at each type.
Søren B. Lassen, Paul Blain Levy
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where CSL
Authors Søren B. Lassen, Paul Blain Levy
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