Causal computational complexity of distributed processes

Demangeon, R. and Yoshida, N. (2023) Causal computational complexity of distributed processes. Information and Computation, 290, 104998. (doi: 10.1016/j.ic.2022.104998)

Abstract

This article studies the complexity of π-calculus processes with respect to the quantity of transitions caused by an incoming message. First, we propose a typing system for integrating Bellantoni and Cook's characterisation of polytime computable functions into Deng and Sangiorgi's typing system for termination. We then define computational complexity of distributed messages based on Degano and Priami's causal semantics, which identifies the dependency between interleaved transitions. Next, we apply a necessary syntactic flow analysis to typable processes to ensure a computational bound on the number of distributed messages. We prove that our analysis is decidable; sound in the sense that it guarantees that the total number of messages causally dependent of an input request received from the outside is bounded by a polynomial of the content of this request; and complete, meaning that each polynomial recursive function can be computed by a typable process.

• Item Type: Articles
• Additional Information: We deeply thank the reviewers' detailed and helpful comments. The second author is supported by EPSRC EP/T006544/1, EP/K011715/1, EP/K034413/1, EP/L00058X/1, EP/N027833/1, EP/N028201/1, EP/T014709/1, EP/V000462/1, EP/X015955/1 and VeTSS.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Yoshida, Professor Nobuko
• Authors: Demangeon, R., and Yoshida, N.
• College/School: College of Science and Engineering > School of Computing Science
• Journal Name: Information and Computation
• Publisher: Elsevier
• ISSN: 0890-5401
• ISSN (Online): 1090-2651
• Published Online: 01 December 2022
• Copyright Holders: Copyright © 2022 The Authors
• First Published: First published in Information and Computation 290: 104998
• Publisher Policy: Reproduced under a Creative Commons License