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Session types offer a type-based discipline for enforcing communication protocols in distributed programming. We have previously formalized simple session types in the setting of multi-threaded $\lambda$-calculus with linear types. In this…

Programming Languages · Computer Science 2017-04-25 Hanwen Wu , Hongwei Xi

This paper improves the session typing theory to support the modelling and verification of processes that implement federated learning protocols. To this end, we build upon the asynchronous ``bottom-up'' session typing approach by adding…

Logic in Computer Science · Computer Science 2026-03-27 Ivan Prokić , Simona Prokić , Silvia Ghilezan , Alceste Scalas , Nobuko Yoshida

Many type systems include infinite types. In session type systems, which are the focus of this paper, infinite types are important because they allow the specification of communication protocols that are unbounded in time. Usually infinite…

Programming Languages · Computer Science 2022-01-21 Simon J. Gay , Diogo Poças , Vasco T. Vasconcelos

Multiparty Session Types (MPST) are a well-established typing discipline for message-passing processes interacting on sessions involving two or more participants. Session typing can ensure desirable properties: absence of communication…

Programming Languages · Computer Science 2017-04-12 Alceste Scalas , Nobuko Yoshida

We present a simple randomized procedure for the prediction of a binary sequence. The algorithm uses ideas from recent developments of the theory of the prediction of individual sequences. We show that if the sequence is a realization of a…

Statistics Theory · Mathematics 2008-06-19 L. Györfi , G. Lugosi , G. Morvai

Session types are formal specifications of communication protocols, allowing protocol implementations to be verified by typechecking. Up to now, session type disciplines have assumed that the communication medium is reliable, with no loss…

Logic in Computer Science · Computer Science 2024-08-07 Dimitrios Kouzapas , Ramunas Forsberg Gutkovas , A. Laura Voinea , Simon J. Gay

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with…

Logic in Computer Science · Computer Science 2012-04-16 Javier Esparza , Andreas Gaiser , Stefan Kiefer

The paper presents a language model that develops syntactic structure and uses it to extract meaningful information from the word history, thus enabling the use of long distance dependencies. The model assigns probability to every joint…

Computation and Language · Computer Science 2007-05-23 Ciprian Chelba

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

Termination is a central property in sequential programming models: a term is terminating if all its reduction sequences are finite. Termination is also important in concurrency in general, and for message-passing programs in particular. A…

Logic in Computer Science · Computer Science 2023-08-03 Joseph W. N. Paulus , Jorge A. Pérez , Daniele Nantes-Sobrinho

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

Session types are a discipline for the static verification of message-passing programs. A session type specifies a channel's protocol as sequences of exchanges. It is most relevant to investigate session-based concurrency by identifying the…

Programming Languages · Computer Science 2024-01-24 Alen Arslanagic , Jorge A. Pérez , Anda-Amelia Palamariuc

Continuous-time event sequences, i.e., sequences consisting of continuous time stamps and associated event types ("marks"), are an important type of sequential data with many applications, e.g., in clinical medicine or user behavior…

Machine Learning · Statistics 2022-11-17 Alex Boyd , Yuxin Chang , Stephan Mandt , Padhraic Smyth

Side effects are a core part of practical programming. However, they are often hard to reason about, particularly in a concurrent setting. We propose a foundation for reasoning about concurrent side effects using sessions. Primarily, we…

Programming Languages · Computer Science 2016-02-12 Dominic Orchard , Nobuko Yoshida

Session types are a type-based approach to the verification of message-passing programs. They have been much studied as type systems for the pi-calculus and for languages such as Java. A session type specifies what and when should be…

Logic in Computer Science · Computer Science 2019-06-13 Alen Arslanagić , Jorge A. Pérez , Erik Voogd

Randomized higher-order computation can be seen as being captured by a lambda calculus endowed with a single algebraic operation, namely a construct for binary probabilistic choice. What matters about such computations is the probability of…

Logic in Computer Science · Computer Science 2020-12-24 Ugo Dal Lago , Claudia Faggian , Simona Ronchi Della Rocca

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

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 study the termination problem for probabilistic term rewrite systems. We prove that the interpretation method is sound and complete for a strengthening of positive almost sure termination, when abstract reduction systems and term rewrite…

Symbolic Computation · Computer Science 2018-02-28 Martin Avanzini , Ugo Dal Lago , Akihisa Yamada

Multiparty sessions are systems of concurrent processes, which allow several participants to communicate by sending and receiving messages. Their overall behaviour can be described by means of global types. Typable multiparty session enjoy…

Logic in Computer Science · Computer Science 2019-09-16 Franco Barbanera , Mariangiola Dezani-Ciancaglini