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The importance of subtyping to enable a wider range of well-typed programs is undeniable. However, the interaction between subtyping, recursion, and polymorphism is not completely understood yet. In this work, we explore subtyping in a…

Programming Languages · Computer Science 2021-03-30 Ankush Das , Henry DeYoung , Andreia Mordido , Frank Pfenning

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 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 present a novel subset scan method to detect if a probabilistic binary classifier has statistically significant bias -- over or under predicting the risk -- for some subgroup, and identify the characteristics of this subgroup. This form…

Machine Learning · Statistics 2017-07-05 Zhe Zhang , Daniel B. Neill

Multiparty sessions with asynchronous communications and global types play an important role for the modelling of interaction protocols in distributed systems. In designing such calculi the aim is to enforce, by typing, good properties for…

Logic in Computer Science · Computer Science 2023-06-22 Francesco Dagnino , Paola Giannini , Mariangiola Dezani-Ciancaglini

Characteristic formulae give a complete logical description of the behaviour of processes modulo some chosen notion of behavioural semantics. They allow one to reduce equivalence or preorder checking to model checking, and are exactly the…

Logic in Computer Science · Computer Science 2024-11-14 Luca Aceto , Antonis Achilleos , Aggeliki Chalki , Anna Ingolfsdottir

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

Session types are behavioural types for guaranteeing that concurrent programs are free from basic communication errors. Recent work has shown that asynchronous session subtyping is undecidable. However, since session types have become…

Programming Languages · Computer Science 2018-02-13 Mario Bravetti , Marco Carbone , Gianluigi Zavattaro

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

For many application-level distributed protocols and parallel algorithms, the set of participants, the number of messages or the interaction structure are only known at run-time. This paper proposes a dependent type theory for multiparty…

Logic in Computer Science · Computer Science 2015-07-01 Pierre-Malo Denielou , Nobuko Yoshida , Andi Bejleri , Raymond Hu

Multiparty Session Types (MPST) provide a type-theoretic foundation for specifying and verifying communication protocols in distributed systems. MPST rely on the notion of global type which specifies the global behaviour and local types,…

Formal Languages and Automata Theory · Computer Science 2025-12-08 Cinzia Di Giusto , Etienne Lozes , Pascal Urso

Semantic subtyping is an approach to define subtyping relations for type systems featuring union and intersection type connectives. It has been studied only for strict languages, and it is unsound for non-strict semantics. In this work, we…

Programming Languages · Computer Science 2021-11-15 Tommaso Petrucciani , Giuseppe Castagna , Davide Ancona , Elena Zucca

Datatype specialization is a form of subtyping that captures program invariants on data structures that are expressed using the convenient and intuitive datatype notation. Of particular interest are structural invariants such as…

Programming Languages · Computer Science 2007-05-23 Matthew Fluet , Riccardo Pucella

We study a probabilistic variant of binary session types that relate to a class of Finite-State Markov Chains. The probability annotations in session types enable the reasoning on the probability that a session terminates successfully, for…

Logic in Computer Science · Computer Science 2020-07-24 Omar Inverso , Hernán Melgratti , Luca Padovani , Catia Trubiani , Emilio Tuosto

Session types model structured communication-based programming. In particular, binary session types for the pi-calculus describe communication between exactly two participants in a distributed scenario. Adding sessions to the pi-calculus…

Programming Languages · Computer Science 2014-08-27 Ornela Dardha

This paper contributes to the theory of the modal $\mu$-calculus by proving some model-theoretic results. More in particular, we discuss a number of semantic properties pertaining to formulas of the modal $\mu$-calculus. For each of these…

Logic in Computer Science · Computer Science 2023-06-22 Gaëlle Fontaine , Yde Venema

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

A type system combining type application, constants as types, union types (associative, commutative and idempotent) and recursive types has recently been proposed for statically typing path polymorphism, the ability to define functions that…

Logic in Computer Science · Computer Science 2020-06-30 Juan Edi , Andrés Viso , Eduardo Bonelli

We study the interaction of structural subtyping with parametric polymorphism and recursively defined type constructors. Although structural subtyping is undecidable in this setting, we describe a notion of parametricity for type…

Programming Languages · Computer Science 2023-10-30 Henry DeYoung , Andreia Mordido , Frank Pfenning , Ankush Das

Typology is a subfield of linguistics that focuses on the study and classification of languages based on their structural features. Unlike genealogical classification, which examines the historical relationships between languages, typology…

Computation and Language · Computer Science 2025-04-30 Gerhard Jäger