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Replication ensures data availability in fault-prone distributed systems. The celebrated CAP theorem stipulates that replicas cannot guarantee both strong consistency and availability under network partitions. A popular alternative, adopted…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-22 Petr Kuznetsov , Maxence Perion , Sara Tucci-Piergiovanni

Session types denote message protocols between concurrent processes, allowing a type-safe expression of inter-process communication. Although previous work demonstrate a well-defined notion of subtyping where processes have different…

Programming Languages · Computer Science 2021-11-29 Chuta Sano , Stephanie Balzer , Frank Pfenning

We present the first session typing system guaranteeing request-response liveness properties for possibly non-terminating communicating processes. The types augment the branch and select types of the standard binary session types with a set…

Logic in Computer Science · Computer Science 2017-01-11 Søren Debois , Thomas Hildebrandt , Tijs Slaats , Nobuko Yoshida

We give communication-based semantics and reasoning techniques for Polarized SILL, a rich session-typed programming language with general recursion. Its features include channel and code transmission, synchronous and asynchronous…

Programming Languages · Computer Science 2021-11-03 Ryan Kavanagh

We introduce logical synchrony, a framework that allows distributed computing to be coordinated as tightly as in synchronous systems without the distribution of a global clock or any reference to universal time. We develop a model of events…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-08 Sanjay Lall , Calin Cascaval , Martin Izzard , Tammo Spalink

Whereas standard treatments of temporal logic are adequate for closed systems, having no run-time interactions with their environment, they fall short for reactive systems, interacting with their environments through synchronisation of…

Logic in Computer Science · Computer Science 2020-09-01 Rob van Glabbeek

We present a calculus that models a form of process interaction based on copyless message passing, in the style of Singularity OS. The calculus is equipped with a type system ensuring that well-typed processes are free from memory faults,…

Programming Languages · Computer Science 2015-07-01 Viviana Bono , Luca Padovani

Session types employ a linear type system that ensures that communication channels cannot be implicitly copied or discarded. As a result, many mechanizations of these systems require modeling channel contexts and carefully ensuring that…

Programming Languages · Computer Science 2023-09-25 Chuta Sano , Ryan Kavanagh , Brigitte Pientka

Relating the specification of the global communication behavior of a distributed system and the specifications of the local communication behavior of each of its nodes/peers (e.g., to check if the former is realizable by the latter under…

Logic in Computer Science · Computer Science 2014-07-17 Luís Caires , Jorge A. Pérez

Often fairness assumptions need to be made in order to establish liveness properties of distributed systems, but in many situations these lead to false conclusions. This document presents a research agenda aiming at laying the foundations…

Logic in Computer Science · Computer Science 2017-11-15 Rob van Glabbeek

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Mixed-choice has long been barred from models of asynchronous communication since it compromises the decidability of key properties of communicating finite-state machines. Session types inherit this restriction, which precludes them from…

Logic in Computer Science · Computer Science 2025-07-30 Jonah Pears , Laura Bocchi , Maurizio Murgia , Andy King

In sequential functional languages, sized types enable termination checking of programs with complex patterns of recursion in the presence of mixed inductive-coinductive types. In this paper, we adapt sized types and their metatheory to the…

Programming Languages · Computer Science 2024-04-16 Siva Somayyajula , Frank Pfenning

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

We study the notion of subtyping for session types in a logical setting, where session types are propositions of multiplicative/additive linear logic extended with least and greatest fixed points. The resulting subtyping relation admits a…

Logic in Computer Science · Computer Science 2023-04-14 Ross Horne , Luca Padovani

We study the problem of parametric parallel complexity analysis of concurrent, message-passing programs. To make the analysis local and compositional, it is based on a conservative extension of binary session types, which structure the type…

Programming Languages · Computer Science 2018-04-18 Ankush Das , Jan Hoffmann , Frank Pfenning

We propose a semantically grounded theory of session types which relies on intersection and union types. We argue that intersection and union types are natural candidates for modeling branching points in session types and we show that the…

Programming Languages · Computer Science 2011-01-25 Luca Padovani

Distributed system theory literature often argues for correctness using an informal, Hoare-like style of reasoning. While these arguments are intuitive, they have not all been foolproof, and whether they directly correspond to formal proofs…

Programming Languages · Computer Science 2025-10-15 Haobin Ni , Robbert van Renesse , Greg Morrisett

In an anonymous shared memory system, all inter-process communications are via shared objects; however, unlike in standard systems, there is no a priori agreement between processes on the names of shared objects [14,15]. Furthermore, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-21 Gadi Taubenfeld

Context-free session types provide a typing discipline for recursive structured communication protocols on bidirectional channels. They overcome the restriction of regular session type systems to tail recursive protocols. This extension…

Programming Languages · Computer Science 2022-08-03 Bernardo Almeida , Andreia Mordido , Peter Thiemann , Vasco T. Vasconcelos