Tue 21 Jan 2020 14:21 - 14:43 at Maurepas - Concurrency and linearity Chair(s): Zhong Shao

Dependent type theories with guarded recursion have shown themselves suitable for the development of denotational semantics of programming languages. In particular Ticked Cubical Type Theory (TCTT) has been used to show that for guarded labelled transition systems (GLTS) interpretation into the denotational semantics maps bisimilar processes to equal values. In fact the two notions are proved equivalent, allowing one to reason about equality in place of bisimilarity.

We extend that result to the $\pi$-calculus, picking early congruence as the syntactic notion of equivalence between processes, showing that denotational models based on guarded recursive types can handle the dynamic creation of channels that goes beyond the scope of GLTSs.

Hence we present a fully abstract denotational model for the early $\pi$-calculus, formalized as an extended example for Guarded Cubical Agda: a novel implementation of Ticked Cubical Type Theory based on Cubical Agda.

 Slides (slides-cpp20.pdf) 163KiB

#### Tue 21 Jan Times are displayed in time zone: Saskatchewan, Central America change

 14:00 - 15:05: Concurrency and linearityCPP at Maurepas Chair(s): Zhong ShaoYale University 14:00 - 14:21Talk Formalizing Determinacy of Concurrent RevisionsCPPRoy OverbeekVrije Universiteit Amsterdam DOI Pre-print Media Attached 14:21 - 14:43Talk Formalizing π-calculus in Guarded Cubical AgdaCPPNiccolò VeltriTallinn University of Technology, Andrea VezzosiIT University Copenhagen DOI Pre-print Media Attached File Attached 14:43 - 15:05Talk Intrinsically-Typed Definitional Interpreters for Linear, Session-Typed LanguagesCPPArjen RouvoetDelft University of Technology, Casper Bach PoulsenDelft University of Technology, Robbert KrebbersDelft University of Technology, Eelco VisserDelft University of Technology DOI Pre-print Media Attached File Attached