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We introduce the abstract notions of "monadic operational semantics", a small-step semantics where computational effects are modularly modeled by a monad, and "type-and-effect system", including "effect types" whose interpretation lifts…

Programming Languages · Computer Science 2025-04-15 Francesco Dagnino , Paola Giannini , Elena Zucca

Session types are a type-based approach to the verification of message-passing programs. They specify communication structures essential to enforcing program correctness; by relying on sequencing constructs, a session type can precisely…

Programming Languages · Computer Science 2025-05-14 Alen Arslanagić , Jorge A. Pérez , Dan Frumin

Session types have emerged as a powerful paradigm for structuring communication-based programs. They guarantee type soundness and session fidelity for concurrent programs with sophisticated communication protocols. As type soundness proofs…

Programming Languages · Computer Science 2019-08-09 Peter Thiemann

Type-preserving translations are effective rigorous tools in the study of core programming calculi. In this paper, we develop a new typed translation that connects sequential and concurrent calculi; it is governed by type systems that…

Programming Languages · Computer Science 2022-06-01 Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

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

For many application-level distributed protocols and parallel algorithms, the set of participants, the number of messages or the interaction structure are only known at run-time. This paper proposes a dependent type theory for multiparty…

Logic in Computer Science · Computer Science 2015-07-01 Pierre-Malo Denielou , Nobuko Yoshida , Andi Bejleri , Raymond Hu

Graded Type Theory provides a mechanism to track and reason about resource usage in type systems. In this paper, we develop GraD, a novel version of such a graded dependent type system that includes functions, tensor products, additive…

Programming Languages · Computer Science 2021-01-07 Pritam Choudhury , Harley Eades , Richard A. Eisenberg , Stephanie C Weirich

Session types model structured communication-based programming. In particular, binary session types for the pi-calculus describe communication between exactly two participants in a distributed scenario. Adding sessions to the pi-calculus…

Programming Languages · Computer Science 2014-08-27 Ornela Dardha

Type systems hide data that is captured by function closures in function types. In most cases this is a beneficial design that favors simplicity and compositionality. However, some applications require explicit information about the data…

Programming Languages · Computer Science 2013-12-03 Gabriel Scherer , Jan Hoffmann

We present a formalization of session types in a multi-threaded lambda-calculus (MTLC) equipped with a linear type system, establishing for the MTLC both type preservation and global progress. The latter (global progress) implies that the…

Programming Languages · Computer Science 2016-03-14 Hongwei Xi , Zhiqiang Ren , Hanwen Wu , William Blair

Session types statically prescribe bidirectional communication protocols for message-passing processes and are in a Curry-Howard correspondence with linear logic propositions. However, simple session types cannot specify properties beyond…

Programming Languages · Computer Science 2020-01-27 Ankush Das , Frank Pfenning

Timed session types formalise timed communication protocols between two participants at the endpoints of a session. They feature a decidable compliance relation, which generalises to the timed setting the progress-based compliance between…

Logic in Computer Science · Computer Science 2023-06-22 Massimo Bartoletti , Tiziana Cimoli , Maurizio Murgia

Session types are a rich type discipline, based on linear types, that lifts the sort of safety claims that come with type systems to communications. However, web-based applications and microservices are often written in a mix of languages,…

Programming Languages · Computer Science 2019-11-20 Atsushi Igarashi , Peter Thiemann , Yuya Tsuda , Vasco T. Vasconcelos , Philip Wadler

We propose the integration of staged metaprogramming into a session-typed message passing functional language. We build on a model of contextual modal type theory with multi-level contexts, where contextual values, closing arbitrary terms…

Programming Languages · Computer Science 2026-01-22 Pedro Ângelo , Atsushi Igarashi , Yuito Murase , Vasco T. Vasconcelos

Graded monads refine traditional monads using effect annotations in order to describe quantitatively the computational effects that a program can generate. They have been successfully applied to a variety of formal systems for reasoning…

Logic in Computer Science · Computer Science 2026-01-22 Satoshi Kura , Marco Gaboardi , Taro Sekiyama , Hiroshi Unno

This paper presents a logical approach to the translation of functional calculi into concurrent process calculi. The starting point is a type system for the {\pi}-calculus closely related to linear logic. Decompositions of intuitionistic…

Logic in Computer Science · Computer Science 2011-07-22 Emmanuel Beffara

Typed operational semantics is a method developed by H. Goguen to prove meta-theoretic properties of type systems. This paper studies the metatheory of a type system with dependent record types, using the approach of typed operational…

Logic in Computer Science · Computer Science 2011-03-18 Yangyue Feng , Zhaohui Luo

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

We describe a Martin-L\"of-style dependent type theory, called Cocon, that allows us to mix the intensional function space that is used to represent higher-order abstract syntax (HOAS) trees with the extensional function space that…

Logic in Computer Science · Computer Science 2019-05-13 Brigitte Pientka , David Thibodeau , Andreas Abel , Francisco Ferreira , Rebecca Zucchini