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Ordered Models of the Lambda Calculus

Antonino Salibra ; Alberto Carraro.

Answering a question by Honsell and Plotkin, we show that there are two equations between lambda terms, the so-called subtractive equations, consistent with lambda calculus but not simultaneously satisfied in any partially ordered model with bottom element. We also relate the subtractive equations&nbsp;[&hellip;]

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Full Abstraction for the Resource Lambda Calculus with Tests, through Taylor Expansion

Thomas Ehrhard ; Antonio Bucciarelli ; Alberto Carraro ; Giulio Manzonetto.

We study the semantics of a resource-sensitive extension of the lambda calculus in a canonical reflexive object of a category of sets and relations, a relational version of Scott's original model of the pure lambda calculus. This calculus is related to Boudol's resource calculus and is derived from&nbsp;[&hellip;]

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