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Some type-based approaches to termination use sized types: an ordinal bound for the size of a data structure is stored in its type. A recursive function over a sized type is accepted if it is visible in the type system that recursive calls…

Programming Languages · Computer Science 2015-07-01 Andreas Abel

Type systems as a way to control or analyze programs have been largely studied in the context of functional programming languages. Some of those work allow to extract from a typing derivation for a program a complexity bound on this…

Logic in Computer Science · Computer Science 2019-10-08 Patrick Baillot , Alexis Ghyselen

Formal verification methods for concurrent systems cannot always be scaled-down or tailored in order to be applied on specific subsystems. We address such an issue in a MultiParty Session Types setting by devising a partial type assignment…

Logic in Computer Science · Computer Science 2024-10-02 Franco Barbanera , Mariangiola Dezani-Ciancaglini , Ugo de'Liguoro

The emergence of propositions-as-sessions, a Curry-Howard correspondence between propositions of Linear Logic and session types for concurrent processes, has settled the logical foundations of message-passing concurrency. Central to this…

Logic in Computer Science · Computer Science 2022-09-13 Dan Frumin , Emanuele D'Osualdo , Bas van den Heuvel , Jorge A. Pérez

There has been a considerable amount of work on retrieving functions in function libraries using their type as search key. The availability of rich component specifications, in the form of behavioral types, enables similar queries where one…

Logic in Computer Science · Computer Science 2014-06-16 Mariangiola Dezani-Ciancaglini , Luca Padovani , Jovanka Pantovic

We study functional and concurrent calculi with non-determinism, along with type systems to control resources based on linearity. The interplay between non-determinism and linearity is delicate: careless handling of branches can discard…

Logic in Computer Science · Computer Science 2023-10-02 Bas van den Heuvel , Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

Session types are a type discipline for describing and specifying communication behaviours of concurrent processes. Session subtyping, firstly introduced by Gay and Hole, is widely used for enlarging typability of session programs. This…

Programming Languages · Computer Science 2024-04-09 Thien Udomsrirungruang , Nobuko Yoshida

We present a system of session types based on adjoint logic which generalize standard binary session types. Our system allows us to uniformly capture several new behaviors in the space of asynchronous message-passing communication,…

Programming Languages · Computer Science 2019-04-03 Klaas Pruiksma , Frank Pfenning

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

Session types provide a principled approach to typed communication protocols that guarantee type safety and protocol fidelity. Formalizations of session-typed communication are typically based on process calculi, concurrent lambda calculi,…

Programming Languages · Computer Science 2023-08-15 Hannes Saffrich , Peter Thiemann

Session types denote message protocols between concurrent processes, allowing a type-safe expression of inter-process communication. Although previous work demonstrate a well-defined notion of subtyping where processes have different…

Programming Languages · Computer Science 2021-11-29 Chuta Sano , Stephanie Balzer , Frank Pfenning

We introduce coexponentials, a new set of modalities for Classical Linear Logic. As duals to exponentials, the coexponentials codify a distributed form of the structural rules of weakening and contraction. This makes them a suitable logical…

Logic in Computer Science · Computer Science 2021-03-05 Zesen Qian , G. A. Kavvos , Lars Birkedal

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

Multiparty session types are designed to abstractly capture the structure of communication protocols and verify behavioural properties. One important such property is progress, i.e., the absence of deadlock. Distributed algorithms often…

Logic in Computer Science · Computer Science 2024-02-14 Kirstin Peters , Uwe Nestmann , Christoph Wagner

All formalizations of session types rely on linear types for soundness as session-typed communication channels must change their type at every operation. Embedded language implementations of session types follow suit. They either rely on…

Programming Languages · Computer Science 2023-03-03 Peter Thiemann

We define a pi-calculus variant with a costed semantics where channels are treated as resources that must explicitly be allocated before they are used and can be deallocated when no longer required. We use a substructural type system…

Logic in Computer Science · Computer Science 2015-07-01 Adrian Francalanza , Edsko DeVries , Matthew Hennessy

We consider the problem of designing typed concurrent calculi with non-deterministic choice in which types leverage linearity for controlling resources, thereby ensuring strong correctness properties for processes. This problem is…

Logic in Computer Science · Computer Science 2024-12-18 Bas van den Heuvel , Daniele Nantes-Sobrinho , Joseph W. N. Paulus , Jorge A. Pérez

The structured representation for semantic parsing in task-oriented assistant systems is geared towards simple understanding of one-turn queries. Due to the limitations of the representation, the session-based properties such as…

Circuit representations are becoming the lingua franca to express and reason about tractable generative and discriminative models. In this paper, we show how complex inference scenarios for these models that commonly arise in machine…

Machine Learning · Statistics 2021-02-12 Antonio Vergari , YooJung Choi , Anji Liu , Stefano Teso , Guy Van den Broeck

This work proposes tractable bisimulations for the higher-order pi-calculus with session primitives (HOpi) and offers a complete study of the expressivity of its most significant subcalculi. First we develop three typed bisimulations, which…

Logic in Computer Science · Computer Science 2015-02-11 Dimitrios Kouzapas , Jorge A. Pérez , Nobuko Yoshida
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