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arXiv · 1211.4097

Standardization in resource lambda-calculus

Maurizio Dominici·Simona Ronchi Della Rocca·Paolo Tranquilli
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Abstract

The resource calculus is an extension of the lambda-calculus allowing to model resource consumption. It is intrinsically non-deterministic and has two general notions of reduction - one parallel, preserving all the possible results as a formal sum, and one non-deterministic, performing an exclusive choice at every step. We prove that the non-deterministic reduction enjoys a notion of standardization, which is the natural extension with respect to the similar one in classical lambda-calculus. The full parallel reduction only enjoys a weaker notion of standardization instead. The result allows an operational characterization of may-solvability, which has been introduced and already characterized (from the syntactical and logical points of view) by Pagani and Ronchi Della Rocca.

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Maurizio Dominici, Simona Ronchi Della Rocca, Paolo Tranquilli. 2012-11-17. Standardization in resource lambda-calculus. https://doi.org/10.4204/eptcs.101.1

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