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Session types have emerged as a typing discipline for communication protocols. Existing calculi with session types come equipped with many different primitives that combine communication with the introduction or elimination of the…

Programming Languages · Computer Science 2019-11-12 Peter Thiemann , Vasco T. Vasconcelos

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

In a previous work we introduced a non-associative non-commutative logic extended by multimodalities, called subexponentials, licensing local application of structural rules. Here, we further explore this system, considering a classical…

Logic in Computer Science · Computer Science 2023-07-24 Eben Blaisdell , Max I. Kanovich , Stepan L. Kuznetsov , Elaine Pimentel , Andre Scedrov

A system of session types is introduced as induced by a Curry Howard correspondence applied to Bounded Linear Logic, and then extending the thus obtained type system with probabilistic choices and ground types. The obtained system satisfies…

Logic in Computer Science · Computer Science 2022-07-08 Ugo Dal Lago , Giulia Giusti

Session-based recommendation aims at predicting the next item given a sequence of previous items consumed in the session, e.g., on e-commerce or multimedia streaming services. Specifically, session data exhibits some unique characteristics,…

Information Retrieval · Computer Science 2021-06-28 Minjin Choi , jinhong Kim , Joonseok Lee , Hyunjung Shim , Jongwuk Lee

Session types allow communication protocols to be specified type-theoretically so that protocol implementations can be verified by static type checking. We extend previous work on session types for distributed object-oriented languages in…

Programming Languages · Computer Science 2017-01-11 Simon J. Gay , Nils Gesbert , António Ravara , Vasco T. Vasconcelos

We show how systems of session types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as…

Logic in Computer Science · Computer Science 2011-08-24 Ugo Dal Lago , Paolo Di Giamberardino

Program equivalence is the fulcrum for reasoning about and proving properties of programs. For noninterference, for example, program equivalence up to the secrecy level of an observer is shown. A powerful enabler for such proofs are logical…

Programming Languages · Computer Science 2022-08-31 Farzaneh Derakhshan , Stephanie Balzer

In this paper, we present a typed lambda calculus ${\bf SILL}(\lambda)_{\Sigma}$, a type-theoretic version of intuitionistic linear logic with subexponentials, that is, we have many resource comonadic modalities with some interconnections…

Logic · Mathematics 2025-10-03 Daniel Rogozin

We present TLLC which extends the Two-Level Linear dependent type theory (TLL) with session-based concurrency. Equipped with Martin-L\"{o}f style dependency, the session types of TLLC allow protocols to specify properties of communicated…

Programming Languages · Computer Science 2025-10-27 Qiancheng Fu , Hongwei Xi , Ankush Das

We present a unified framework for the declarative analysis of structured communications. By relying on a (timed) concurrent constraint programming language, we show that in addition to the usual operational techniques from process calculi,…

Programming Languages · Computer Science 2010-02-05 Hugo A. López , Carlos Olarte , Jorge A. Pérez

A client-server architecture to simultaneously solve multiple learning tasks from distributed datasets is described. In such architecture, each client is associated with an individual learning task and the associated dataset of examples.…

Machine Learning · Computer Science 2013-07-02 Francesco Dinuzzo , Gianluigi Pillonetto , Giuseppe De Nicolao

We build on a fine-grained analysis of session-based interaction as provided by the linear logic typing disciplines to introduce the SAM, an abstract machine for mechanically executing session-typed processes. A remarkable feature of the…

Programming Languages · Computer Science 2024-01-22 Luís Caires , Bernardo Toninho

Linear logical frameworks with subexponentials have been used for the specification of among other systems, proof systems, concurrent programming languages and linear authorization logics. In these frameworks, subexponentials can be…

Logic · Mathematics 2019-10-09 Max Kanovich , Stepan Kuznetsov , Vivek Nigam , Andre Scedrov

We show how systems of sessions types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as…

Logic in Computer Science · Computer Science 2012-01-04 Ugo Dal Lago , Paolo Di Giamberardino

The scenario-based specification of a large distributed system is usually naturally decomposed into various modules. The integration of specification modules contrasts to the parallel composition of program components, and includes various…

Programming Languages · Computer Science 2012-10-09 Guoxin Su , Mingsheng Ying , Chengqi Zhang

We identify multirole logic as a new form of logic and formalize linear multirole logic (LMRL) as a natural generalization of classical linear logic (CLL). Among various meta-properties established for LMRL, we obtain one named multi-cut…

Programming Languages · Computer Science 2016-11-29 Hongwei Xi , Hanwen Wu

Curry-Howard correspondences between Linear Logic (LL) and session types provide a firm foundation for concurrent processes. As the correspondences hold for intuitionistic and classic versions of LL (ILL and CLL), we obtain two different…

Logic in Computer Science · Computer Science 2024-07-23 Juan C. Jaramillo , Dan Frumin , Jorge A. Pérez

Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a semantical platform and research program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth which it has more…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Prior work has extended the deep, logical connection between the linear sequent calculus and session-typed message-passing concurrent computation with equi-recursive types and a natural notion of subtyping. In this paper, we extend this…

Programming Languages · Computer Science 2017-02-09 Coşku Acay , Frank Pfenning