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Calculi with control operators have been studied to reason about control in programming languages and to interpret the computational content of classical proofs. To make these calculi into a real programming language, one should also…

Logic in Computer Science · Computer Science 2012-10-12 Robbert Krebbers

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

Session types statically describe communication protocols between concurrent message-passing processes. Unfortunately, parametric polymorphism even in its restricted prenex form is not fully understood in the context of session types. In…

Programming Languages · Computer Science 2020-12-11 Ankush Das , Henry DeYoung , Andreia Mordido , Frank Pfenning

We present an extension of System F with higher-order context-free session types. The mixture of functional types with session types has proven to be a challenge for type equivalence formalization: whereas functional type equivalence is…

Logic in Computer Science · Computer Science 2022-03-25 Diana Costa , Andreia Mordido , Diogo Poças , Vasco T. Vasconcelos

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

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

Multiparty session types (MPST) are a robust typing framework that ensures safe and deadlock-free communication within distributed protocols. As these protocols grow in complexity, compositional modelling becomes increasingly important to…

Logic in Computer Science · Computer Science 2025-09-23 Paula Blechschmidt

Situation calculus has been widely applied in Artificial Intelligence related fields. This formalism is considered as a dialect of logic programming language and mostly used in dynamic domain modeling. However, type systems are hardly…

Programming Languages · Computer Science 2012-06-19 Li Tan

Context: Tables are ubiquitous formats for data. Therefore, techniques for writing correct programs over tables, and debugging incorrect ones, are vital. Our specific focus in this paper is on rich types that articulate the properties of…

Programming Languages · Computer Science 2021-11-23 Kuang-Chen Lu , Ben Greenman , Shriram Krishnamurthi

We tackle the problem of statically ensuring that message-passing programs never run into deadlocks. We focus on concurrent functional programs governed by context-free session types, which can express rich tree-like structures not…

Programming Languages · Computer Science 2026-02-24 Andreia Mordido , Jorge A. Pérez

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

The additional complexity caused by concurrently communicating processes in distributed systems render the verification of such systems into a very hard problem. Multiparty session types were developed to govern communication and…

Logic in Computer Science · Computer Science 2019-08-20 Kirstin Peters , Christoph Wagner , Uwe Nestmann

We address the problem of local type inference for a language based on System F with context-free session types. We present an algorithm that leverages the bidirectional type checking approach to propagate type information, enabling first…

Programming Languages · Computer Science 2025-05-28 Bernardo Almeida , Andreia Mordido , Vasco T. Vasconcelos

We define a type system with intersection types for an extension of lambda-calculus with unbind and rebind operators. In this calculus, a term with free variables, representing open code, can be packed into an "unbound" term, and passed…

Logic in Computer Science · Computer Science 2011-01-25 Mariangiola Dezani-Ciancaglini , Paola Giannini , Elena Zucca

We propose algebraic protocols that enable the definition of protocol templates and session types analogous to the definition of domain-specific types with algebraic datatypes. Parameterized algebraic protocols subsume all regular as well…

Programming Languages · Computer Science 2023-04-10 Andreia Mordido , Janek Spaderna , Peter Thiemann , Vasco T. Vasconcelos

The introduction of first-class type classes in the Coq system calls for re-examination of the basic interfaces used for mathematical formalization in type theory. We present a new set of type classes for mathematics and take full advantage…

Logic in Computer Science · Computer Science 2011-02-08 Bas Spitters , Eelis van der Weegen

Dependently typed lambda calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types" notion, such calculi can also encode the correspondence between…

Logic in Computer Science · Computer Science 2010-07-07 Zachary Snow , David Baelde , Gopalan Nadathur

We strive to use session type technology to prove behavioural properties of fault-tolerant distributed algorithms. Session types are designed to abstractly capture the structure of (even multi-party) communication protocols. The goal of…

Logic in Computer Science · Computer Science 2017-05-05 Manuel Adameit , Kirstin Peters , Uwe Nestmann

Competitive methods for multi-label classification typically invest in learning labels together. To do so in a beneficial way, analysis of label dependence is often seen as a fundamental step, separate and prior to constructing a…

Machine Learning · Statistics 2017-07-19 Jesse Read , Jaakko Hollmén

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
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