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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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Revisiting Call-by-value B\"ohm trees in light of their Taylor expansion

Emma Kerinec ; Giulio Manzonetto ; Michele Pagani.

The call-by-value lambda calculus can be endowed with permutation rules, arising from linear logic proof-nets, having the advantage of unblocking some redexes that otherwise get stuck during the reduction. We show that such an extension allows to define a satisfying notion of B\"ohm(-like) tree and&nbsp;[&hellip;]

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