On the semantics of the call-by-name CPS transform

Sangiorgi has shown that the semantics induced by Milner's encoding of the call-by-name-calculus in the-calculus is the equality of LLvy-Longo trees. Later it was realized that Milner's encodings are actually variations on well-known continuation passing style transforms. Then a question is: is the discriminating ability due to-calculus features, or is it already ooered by the cps transform? We show that the latter is true: the semantics induced by the call-by-name cps transform on-terms is LLvy-Longo trees equality.