Aceto, Luca and Fábregas, Ignacio and García-Pérez, Álvaro and Ingólfsdóttir, Anna and Ortega-Mallén, Yolanda - Rule Formats for Nominal Process Calculi

lmcs:4678 - Logical Methods in Computer Science, October 14, 2019, Volume 15, Issue 4
Rule Formats for Nominal Process Calculi

Authors: Aceto, Luca and Fábregas, Ignacio and García-Pérez, Álvaro and Ingólfsdóttir, Anna and Ortega-Mallén, Yolanda

The nominal transition systems (NTSs) of Parrow et al. describe the operational semantics of nominal process calculi. We study NTSs in terms of the nominal residual transition systems (NRTSs) that we introduce. We provide rule formats for the specifications of NRTSs that ensure that the associated NRTS is an NTS and apply them to the operational specifications of the early and late pi-calculus. We also explore alternative specifications of the NTSs in which we allow residuals of abstraction sort, and introduce translations between the systems with and without residuals of abstraction sort. Our study stems from the Nominal SOS of Cimini et al. and from earlier works in nominal sets and nominal logic by Gabbay, Pitts and their collaborators.


Source : oai:arXiv.org:1807.02081
Volume: Volume 15, Issue 4
Published on: October 14, 2019
Submitted on: July 10, 2018
Keywords: Computer Science - Logic in Computer Science,Computer Science - Programming Languages


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