Polymorphic lambda calculus with context-free session types

Session types provide a typing discipline for structured communication on bidirectional channels. Context-free session types overcome the restriction to tail recursive protocols characteristic of conventional session types. This extension enables the serialization and deserialization of tree structu...

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Veröffentlicht in:Information and computation Jg. 289; S. 104948
Hauptverfasser: Almeida, Bernardo, Mordido, Andreia, Thiemann, Peter, Vasconcelos, Vasco T.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.11.2022
Schlagworte:
Context-free types
Functional programming
Polymorphism
Session types
Context-free types
Functional programming
Session types
Polymorphism
ISSN:0890-5401, 1090-2651
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Zusammenfassung:Session types provide a typing discipline for structured communication on bidirectional channels. Context-free session types overcome the restriction to tail recursive protocols characteristic of conventional session types. This extension enables the serialization and deserialization of tree structures in a fully type-safe manner. We present the theory underlying the language FreeST 2, which features context-free session types in an extension of System F with linear types and a kinding system to distinguish message types, session types, and channel types. The system presents metatheoretical challenges which we address: contractivity in the presence of polymorphism, a non-trivial equational theory on types, and decidability of type equivalence. We also establish standard results on typing preservation, progress, and a characterization of erroneous processes.
ISSN:0890-5401
1090-2651
DOI:10.1016/j.ic.2022.104948