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Proof assistants and programming languages based on type theories usually come in two flavours: one is based on the standard natural deduction presentation of type theory and involves eliminators, while the other provides a syntax in…

Logic in Computer Science · Computer Science 2015-07-30 Nicolas Guenot , Daniel Gustafsson

The expressiveness of communication primitives has been explored in a common framework based on the pi-calculus by considering four features: synchronism (asynchronous vs synchronous), arity (monadic vs polyadic data), communication medium…

Logic in Computer Science · Computer Science 2015-08-21 Thomas Given-Wilson , Axel Legay

Session types have been proposed as a means of statically verifying implementations of communication protocols. Although prior work has been successful in verifying some classes of protocols, it does not cope well with parameterized,…

Programming Languages · Computer Science 2012-08-24 Minas Charalambides , Peter Dinges , Gul Agha

This paper proposes bimorphic recursion, which is restricted polymorphic recursion such that every recursive call in the body of a function definition has the same type. Bimorphic recursion allows us to assign two different types to a…

Logic in Computer Science · Computer Science 2011-06-08 Makoto Tatsuta , Ferruccio Damiani

Session types are types for specifying the protocols that communicating processes must follow in a concurrent system. When composing two or more well-typed processes, a session typing system must check whether such processes are multiparty…

Logic in Computer Science · Computer Science 2023-05-26 Marco Carbone , Sonia Marin , Carsten Schürmann

We define a novel calculus that combines a call-by-name functional core with session-based communication primitives. We develop a typing discipline that guarantees both normalisation of expressions and progress of processes and that…

Logic in Computer Science · Computer Science 2023-06-22 Paula Severi , Luca Padovani , Emilio Tuosto , Mariangiola Dezani-Ciancaglini

Integrated interpretability without sacrificing the prediction accuracy of decision making algorithms has the potential of greatly improving their value to the user. Instead of assigning a label to an image directly, we propose to learn…

Machine Learning · Computer Science 2021-04-13 Stephan Alaniz , Diego Marcos , Bernt Schiele , Zeynep Akata

Sequential programming and work-flow programming are two useful, but radically different, ways of describing computational processing. Of the two, it is sequential programming that we teach all programmers and support by programming…

Programming Languages · Computer Science 2011-08-24 William Harrison

There are two well-known formulations of recursive types: iso-recursive and equi-recursive types. Abadi and Fiore [1996] have shown that iso- and equi-recursive types have the same expressive power. However, their encoding of equi-recursive…

Programming Languages · Computer Science 2024-07-09 Litao Zhou , Qianyong Wan , Bruno C. d. S. Oliveira

Session types are becoming popular and have been integrated in several mainstream programming languages. Nevertheless, while many programming languages consider asynchronous fifo channel communication, the notion of subtyping used in…

Programming Languages · Computer Science 2021-04-30 Lorenzo Bacchiani , Mario Bravetti , Julien Lange , Gianluigi Zavattaro

Proof theory provides a foundation for studying and reasoning about programming languages, most directly based on the well-known Curry-Howard isomorphism between intuitionistic logic and the typed lambda-calculus. More recently, a…

Logic in Computer Science · Computer Science 2023-06-22 Farzaneh Derakhshan , Frank Pfenning

Session types, types for structuring communication between endpoints in distributed systems, are recently being integrated into mainstream programming languages. In practice, a very important notion for dealing with such types is that of…

Programming Languages · Computer Science 2023-06-22 Mario Bravetti , Marco Carbone , Julien Lange , Nobuko Yoshida , Gianluigi Zavattaro

Information flow control type systems statically restrict the propagation of sensitive data to ensure end-to-end confidentiality. The property to be shown is noninterference, asserting that an attacker cannot infer any secrets from made…

Programming Languages · Computer Science 2021-04-30 Farzaneh Derakhshan , Stephanie Balzer , Limin Jia

We describe a type system for the linear-algebraic lambda-calculus. The type system accounts for the part of the language emulating linear operators and vectors, i.e. it is able to statically describe the linear combinations of terms…

Logic in Computer Science · Computer Science 2012-08-01 Pablo Arrighi , Alejandro Díaz-Caro , Benoît Valiron

MultiParty Session Types (MPST) provide a useful framework for safe concurrent systems. Mixed choice (enabling a participant to play at the same time the roles of sender and receiver) increases the expressive power of MPST as well as the…

Logic in Computer Science · Computer Science 2025-08-20 Franco Barbanera , Mariangiola Dezani-Ciancaglini

We present the guarded lambda-calculus, an extension of the simply typed lambda-calculus with guarded recursive and coinductive types. The use of guarded recursive types ensures the productivity of well-typed programs. Guarded recursive…

Logic in Computer Science · Computer Science 2019-03-14 Ranald Clouston , Aleš Bizjak , Hans Bugge Grathwohl , Lars Birkedal

The higher-order pi-calculus is an extension of the pi-calculus to allow communication of abstractions of processes rather than names alone. It has been studied intensively by Sangiorgi in his thesis where a characterisation of a contextual…

Programming Languages · Computer Science 2017-01-11 Alan Jeffrey , Julian Rathke

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

A method for encoding and decoding spectrum shaped binary run-length constrained sequences is described. The binary sequences with predefined range of exponential sums are introduced. On the base of Cover's enumerative scheme, recurrence…

Information Theory · Computer Science 2010-01-26 Oleg F. Kurmaev

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