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The dependency core calculus (DCC), a simple extension of the computational lambda calculus, captures a common notion of dependency that arises in many programming language settings. This notion of dependency is closely related to the…

Programming Languages · Computer Science 2010-04-09 Avik Chaudhuri

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

Nakano's later modality can be used to specify and define recursive functions which are causal or synchronous; in concert with a notion of clock variable, it is possible to also capture the broader class of productive (co)programs. Until…

Logic in Computer Science · Computer Science 2021-04-20 Jonathan Sterling , Robert Harper

Session types enable the specification and verification of communicating systems. However, their theory often assumes that processes never fail. To address this limitation, we present a generalised multiparty session type (MPST) theory with…

Programming Languages · Computer Science 2023-02-22 Adam D. Barwell , Alceste Scalas , Nobuko Yoshida , Fangyi Zhou

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

Type theory plays an important role in foundations of mathematics as a framework for formalizing mathematics and a base for proof assistants providing semi-automatic proof checking and construction. Derivation of each theorem in type theory…

Logic · Mathematics 2021-02-23 Farida Kachapova

Recent work on the enhancement of multiparty session types with logical annotations enable the effective verification of properties on (1) the structure of the conversations, (2) the sorts of the messages, and (3) the actual values…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-11 Laura Bocchi , Romain Demangeon

We consider the call-by-value lambda-calculus extended with a may-convergent non-deterministic choice and a must-convergent parallel composition. Inspired by recent works on the relational semantics of linear logic and non-idempotent…

Logic in Computer Science · Computer Science 2014-01-08 Alejandro Díaz-Caro , Giulio Manzonetto , Michele Pagani

Session-types specify communication protocols for communicating processes, and session-typed languages are often specified using substructural operational semantics given by multiset rewriting systems. We give an observed communication…

Programming Languages · Computer Science 2020-09-01 Ryan Kavanagh

Applied process calculi include advanced programming constructs such as type systems, communication with pattern matching, encryption primitives, concurrent constraints, nondeterminism, process creation, and dynamic connection topologies.…

Logic in Computer Science · Computer Science 2017-01-11 Johannes Borgström , Ramūnas Gutkovas , Joachim Parrow , Björn Victor , Johannes Åman Pohjola

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…

Programming Languages · Computer Science 2015-01-16 Ranald Clouston , Aleš Bizjak , Hans Bugge Grathwohl , Lars Birkedal

Models of dependent type theories are contextual categories with some additional structure. We prove that if a theory $T$ has enough structure, then the category $T\text{-}\mathbf{Mod}$ of its models carries the structure of a model…

Category Theory · Mathematics 2016-07-26 Valery Isaev

This paper introduces the notion of referring forms as a new metric for analyzing sequential circuits from a functional perspective. Sequential circuits are modeled as causal stream functions, the outputs of which depend solely on the past…

Hardware Architecture · Computer Science 2025-01-22 Shunji Nishimura

Dependency analysis is vital to several applications in computer science. It lies at the essence of secure information flow analysis, binding-time analysis, etc. Various calculi have been proposed in the literature for analysing individual…

Programming Languages · Computer Science 2022-09-15 Pritam Choudhury

Most type systems that support polymorphic functions are based on a version of System-F. We argue that this limits useful programming paradigms for languages with lazy evaluation. We motivate an extension of System-F alleviating this…

Programming Languages · Computer Science 2016-12-15 S. Doaitse Swierstra , Marcos Viera , Atze Dijkstra

We develop the usage of certain type theories as specification languages for algebraic theories and inductive types. We observe that the expressive power of dependent type theories proves useful in the specification of more complicated…

Logic in Computer Science · Computer Science 2023-09-12 András Kovács

The formal system lambda-delta is a typed lambda calculus that pursues the unification of terms, types, environments and contexts as the main goal. lambda-delta takes some features from the Automath-related lambda calculi and some from the…

Logic in Computer Science · Computer Science 2008-09-25 F. Guidi

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

Dependency analysis is a technique to identify and determine data dependencies between service protocols. Protocols evolving concurrently in the service composition need to impose an order in their execution if there exist data…

Software Engineering · Computer Science 2010-07-30 Javier Cubo , Ernesto Pimentel , Gwen Salaün , Carlos Canal

Type theories can be formalized using the intrinsically (hard) or the extrinsically (soft) typed style. In large libraries of type theoretical features, often both styles are present, which can lead to code duplication and integration…

Logic in Computer Science · Computer Science 2021-07-19 Florian Rabe , Navid Roux