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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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Relational Graph Models at Work

Flavien Breuvart ; Giulio Manzonetto ; Domenico Ruoppolo.

We study the relational graph models that constitute a natural subclass of relational models of lambda-calculus. We prove that among the lambda-theories induced by such models there exists a minimal one, and that the corresponding relational graph model is very natural and easy to construct. We then&nbsp;[&hellip;]

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