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Node Replication: Theory And Practice

Delia Kesner ; Loïc Peyrot ; Daniel Ventura.

We define and study a term calculus implementing higher-order node replication. It is used to specify two different (weak) evaluation strategies: call-by-name and fully lazy call-by-need, that are shown to be observationally equivalent by using type theoretical technical tools.

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A Faithful and Quantitative Notion of Distant Reduction for the Lambda-Calculus with Generalized Applications

José Espírito Santo ; Delia Kesner ; Loïc Peyrot.

We introduce a call-by-name lambda-calculus $\lambda Jn$ with generalized applications which is equipped with distant reduction. This allows to unblock $\beta$-redexes without resorting to the standard permutative conversions of generalized applications used in the original $\Lambda J$-calculus with&nbsp;[&hellip;]

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