A Generic Type System for Higher-Order Ψ-calculi

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  • Alex Rønning Bendixen
  • Bjarke Bredow Bojesen
  • Hüttel, Hans
  • Stian Lybech

The Higher-Order Ψ-calculus framework (HOΨ) is a generalisation of many first- and higher-order extensions of the π-calculus. It was proposed by Parrow et al. who showed that higher-order calculi such as HOπ and CHOCS can be expressed as HOΨ-calculi. In this paper we present a generic type system for HOΨ-calculi which extends previous work by Hüttel on a generic type system for first-order Ψ-calculi. Our generic type system satisfies the usual property of subject reduction and can be instantiated to yield type systems for variants of HOπ, including the type system for termination due to Demangeon et al.. Moreover, we derive a type system for the ρ-calculus, a reflective higher-order calculus proposed by Meredith and Radestock. This establishes that our generic type system is richer than its predecessor, as the ρ-calculus cannot be encoded in the π-calculus in a way that satisfies standard criteria of encodability.

Original languageEnglish
JournalElectronic Proceedings in Theoretical Computer Science, EPTCS
Volume368
Pages (from-to)43-59
Number of pages17
ISSN2075-2180
DOIs
Publication statusPublished - 2022
EventCombined 29th International Workshop on Expressiveness in Concurrency and 19th Workshop on Structural Operational Semantics, EXPRESS/SOS 2022 - Warsaw, Poland
Duration: 12 Sep 2022 → …

Conference

ConferenceCombined 29th International Workshop on Expressiveness in Concurrency and 19th Workshop on Structural Operational Semantics, EXPRESS/SOS 2022
CountryPoland
CityWarsaw
Period12/09/2022 → …

Bibliographical note

Publisher Copyright:
© Bendixen, Bojesen, Hüttel and Lybech.

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