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This thesis embarks on a comprehensive exploration of formal computational models that underlie typed programming languages. We focus on programming calculi, both functional (sequential) and concurrent, as they provide a compelling rigorous…

Logic in Computer Science · Computer Science 2024-08-16 Joseph William Neal Paulus

We define a pi-calculus variant with a costed semantics where channels are treated as resources that must explicitly be allocated before they are used and can be deallocated when no longer required. We use a substructural type system…

Logic in Computer Science · Computer Science 2015-07-01 Adrian Francalanza , Edsko DeVries , Matthew Hennessy

Session types provide a principled approach to typed communication protocols that guarantee type safety and protocol fidelity. Formalizations of session-typed communication are typically based on process calculi, concurrent lambda calculi,…

Programming Languages · Computer Science 2023-08-15 Hannes Saffrich , Peter Thiemann

Truly concurrent process algebras are generalizations to the traditional process algebras for true concurrency, CTC to CCS, APTC to ACP,$\pi_{tc}$ to $\pi$ calculus, APPTC to probabilistic process algebra.In this book, we utilize truly…

Logic in Computer Science · Computer Science 2021-07-29 Yong Wang

Imperative session types provide an imperative interface to session-typed communication. In such an interface, channel references are first-class objects with operations that change the typestate of the channel. Compared to functional…

Programming Languages · Computer Science 2023-06-22 Hannes Saffrich , Peter Thiemann

We present a concurrent framework for Win32 programming based on Concurrent ML, a concurrent language with higher-order functions, static typing, lightweight threads and synchronous communication channels. The key points of the framework…

Programming Languages · Computer Science 2007-05-23 Riccardo Pucella

We present a type checking algorithm for establishing a session-based discipline in the pi calculus of Milner, Parrow and Walker. Our session types are qualified as linear or unrestricted. Linearly typed communication channels are…

Programming Languages · Computer Science 2011-08-12 Marco Giunti

We study functional and concurrent calculi with non-determinism, along with type systems to control resources based on linearity. The interplay between non-determinism and linearity is delicate: careless handling of branches can discard…

Logic in Computer Science · Computer Science 2023-10-02 Bas van den Heuvel , Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

Concurrent data structures serve as fundamental building blocks for concurrent computing. Many concurrent counterparts have been designed for basic sequential mechanisms; however, one notable omission is a concurrent tree that supports…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Gal Sela , Erez Petrank

We consider the problem of designing typed concurrent calculi with non-deterministic choice in which types leverage linearity for controlling resources, thereby ensuring strong correctness properties for processes. This problem is…

Logic in Computer Science · Computer Science 2024-12-18 Bas van den Heuvel , Daniele Nantes-Sobrinho , Joseph W. N. Paulus , Jorge A. Pérez

Truly concurrent process algebras are generalizations to the traditional process algebras for true concurrency, CTC to CCS, APTC to ACP, $\pi_{tc}$ to $\pi$ calculus, APPTC to probabilistic process algebra, APTC with localities to process…

Logic in Computer Science · Computer Science 2021-10-26 Yong Wang

We present a new and powerful class of automata which are explicitly concurrent and allow a very simple definition of composition. The novelty of these automata is their time-synchronous message-asynchronous communication mechanism. Time…

Formal Languages and Automata Theory · Computer Science 2014-11-25 Radu Grosu , Bernhard Rumpe

Comparison of concurrent programming languages and correctness of program transformations in concurrency are the focus of this research. As criterion we use contextual semantics adapted to concurrency, where may -- as well as should --…

Programming Languages · Computer Science 2020-09-01 Manfred Schmidt-Schauß , David Sabel

We extend the signal flow calculus---a compositional account of the classical signal flow graph model of computation---to encompass affine behaviour, and furnish it with a novel operational semantics. The increased expressive power allows…

Logic in Computer Science · Computer Science 2020-02-21 Filippo Bonchi , Robin Piedeleu , Pawel Sobocinski , Fabio Zanasi

Linear logic Concurrent Constraint programming (LCC) is an extension of concurrent constraint programming (CC) where the constraint system is based on Girard's linear logic instead of the classical logic. In this paper we address the…

Programming Languages · Computer Science 2011-08-02 Rémy Haemmerlé

This paper elaborates on a new approach of the question of the proof-theoretic study of concurrent interaction called "proofs as schedules". Observing that proof theory is well suited to the description of confluent systems while…

Logic in Computer Science · Computer Science 2014-09-16 Emmanuel Beffara

Functional reactive programming (FRP) makes it possible to express temporal aspects of computations in a declarative way. Recently we developed two kinds of categorical models of FRP: abstract process categories (APCs) and concrete process…

Programming Languages · Computer Science 2014-06-10 Wolfgang Jeltsch

Protection of confidential data is an important security consideration of today's applications. Of particular concern is to guard against unintentional leakage to a (malicious) observer, who may interact with the program and draw inference…

Logic in Computer Science · Computer Science 2024-07-03 Bas van den Heuvel , Farzaneh Derakhshan , Stephanie Balzer

Classical Processes (CP) is a calculus where the proof theory of classical linear logic types communicating processes with mobile channels, a la pi-calculus. Its construction builds on a recent propositions as types correspondence between…

Logic in Computer Science · Computer Science 2018-02-09 Fabrizio Montesi

We present an asynchronous calculus for multiparty sessions with mixed choice, which extends the Simple MultiParty Session framework in order to support nondeterministic choices with both input and output prefixes. Global types -- equipped…

Logic in Computer Science · Computer Science 2026-04-09 Franco Barbanera , Mariangiola Dezani-Ciancaglini