[1211.4097v1] Standardization in resource lambda-calculus
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Computer Science > Logic in Computer Science

arXiv:1211.4097v1 (cs)
[Submitted on 17 Nov 2012]

Title:Standardization in resource lambda-calculus

Authors:Maurizio Dominici (Università di Torino), Simona Ronchi Della Rocca (Università di Torino), Paolo Tranquilli (Università di Bologna)
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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.
Comments: In Proceedings LINEARITY 2012, arXiv:1211.3480
Subjects: Logic in Computer Science (cs.LO)
ACM classes: F.3.2
Cite as: arXiv:1211.4097 [cs.LO]
  (or arXiv:1211.4097v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.1211.4097
Journal reference: EPTCS 101, 2012, pp. 1-11
Related DOI: https://doi.org/10.4204/EPTCS.101.1

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Sat, 17 Nov 2012 09:20:23 UTC (26 KB)
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