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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 types are a typing discipline used to formally describe communication-driven applications with the aim of fewer errors and easier debugging later into the life cycle of the software. Protocols at the transport layer such as TCP,…

Programming Languages · Computer Science 2024-04-09 Samuel Cavoj , Ivan Nikitin , Colin Perkins , Ornela Dardha

Dialectical logic is the logic of dialectical processes. The goal of dialectical logic is to reveal the dynamical notions inherent in logical computational systems. The fundamental notions of proposition and truth-value in standard logic…

Logic in Computer Science · Computer Science 2018-10-12 Robert E. Kent

We propose a type system for a calculus of contracting processes. Processes can establish sessions by stipulating contracts, and then can interact either by keeping the promises made, or not. Type safety guarantees that a typeable process…

Programming Languages · Computer Science 2019-03-14 Massimo Bartoletti , Alceste Scalas , Emilio Tuosto , Roberto Zunino

Besides respecting prescribed protocols, communication-centric systems should never "get stuck". This requirement has been expressed by liveness properties such as progress or (dead)lock freedom. Several typing disciplines that ensure these…

Logic in Computer Science · Computer Science 2015-08-28 Ornela Dardha , Jorge A. Pérez

There exists a broad family of multiparty sessions in which the progress of one session participant is not unconditional, but depends on the choices performed by other participants. These sessions fall outside the scope of currently…

Programming Languages · Computer Science 2022-05-19 Luca Ciccone , Francesco Dagnino , Luca Padovani

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

Fusions are a simple way of combining logics. For normal modal logics, fusions have been investigated in detail. In particular, it is known that, under certain conditions, decidability transfers from the component logics to their fusion.…

Artificial Intelligence · Computer Science 2011-06-10 F. Baader , C. Lutz , H. Sturm , F. Wolter

A correspondence is established between the elements of logic reasoning systems (knowledge bases, rules, inference and queries) and the hardware and dynamical operations of neural networks. The correspondence is framed as a general…

Disordered Systems and Neural Networks · Physics 2007-05-23 Joao Martins , R. Vilela Mendes

We expose the information flow capabilities of pure bipartite entanglement as a theorem -- which embodies the exact statement on the `seemingly acausal flow of information' in protocols such as teleportation. We use this theorem to…

Quantum Physics · Physics 2007-05-23 Bob Coecke

Inspired by Kobayashi's type system for lock freedom, we define a behavioral type system for ensuring progress in a language of binary sessions. The key idea is to annotate actions in session types with priorities representing the urgency…

Programming Languages · Computer Science 2013-12-11 Luca Padovani

A notion of quantum conference is introduced in analogy with the usual notion of a conference that happens frequently in today's world. Quantum conference is defined as a multiparty secure communication task that allows each party to…

Quantum Physics · Physics 2022-06-10 Anindita Banerjee , Kishore Thapliyal , Chitra Shukla , Anirban Pathak

Duality is a central concept in the theory of session types. Since a flaw was found in the original definition of duality for recursive types, several other definitions have been published. As their connection is not obvious, we compare the…

Programming Languages · Computer Science 2020-04-06 Simon J. Gay , Peter Thiemann , Vasco T. Vasconcelos

We propose a calculus for asynchronous multiparty sessions where input choices with different senders are allowed in processes. We present a type system that accepts such input races provided they do not hinder lock-freedom.

Logic in Computer Science · Computer Science 2022-03-25 Ilaria Castellani , Mariangiola Dezani-Ciancaglini , Paola Giannini

An extension of an abstract argumentation framework, called collective argumentation, is introduced in which the attack relation is defined directly among sets of arguments. The extension turns out to be suitable, in particular, for…

Artificial Intelligence · Computer Science 2007-05-23 Alexander Bochman

The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends propositional language by a new binary modality that corresponds to…

Logic in Computer Science · Computer Science 2007-05-23 Pavel Naumov

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

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

The general translator formalism and computing specific implementations are proposed. The implementation of specific elements necessary to process the source and destination information within the translators are presented. Some common…

Computation and Language · Computer Science 2022-12-23 Iosif Iulian Petrila

We describe Concurrent C0, a type-safe C-like language with contracts and session-typed communication over channels. Concurrent C0 supports an operation called forwarding which allows channels to be combined in a well-defined way. The…

Programming Languages · Computer Science 2017-01-19 Max Willsey , Rokhini Prabhu , Frank Pfenning