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Böhm's Theorem for Resource Lambda Calculus through Taylor Expansion [chapter]

Giulio Manzonetto, Michele Pagani
2011 Lecture Notes in Computer Science  
We study the resource calculus, an extension of the λ-calculus allowing to model resource consumption. We achieve an internal separation result, in analogy with Böhm's theorem of λ-calculus.  ...  It is significant that this equivalence extends the usual η-equivalence and is related to Ehrhard's Taylor expansion -a translation mapping terms into series of finite resources.  ...  We thank Stefano Guerrini and Henk Barendregt for stimulating discussions and remarks.  ... 
doi:10.1007/978-3-642-21691-6_14 fatcat:ynmb72cil5hrbowwoxqvt2g3cm

Types of Fireballs (Extended Version) [article]

Beniamino Accattoli, Giulio Guerrieri
2018 arXiv   pre-print
The good properties of Plotkin's call-by-value lambda-calculus crucially rely on the restriction to weak evaluation and closed terms.  ...  The study crucially relies on a new, refined presentation of the fireball calculus, the simplest proposal for open call-by-value, that is more apt to denotational investigations.  ...  via a separation theorem akin to Bohm's-and other principles may be added-categorical semantics, graphical representations, etc.  ... 
arXiv:1808.10389v2 fatcat:n4633bjqpnc5ncvsnqglaz5ccu