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Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

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

Session types statically prescribe bidirectional communication protocols for message-passing processes. However, simple session types cannot specify properties beyond the type of exchanged messages. In this paper we extend the type system…

Programming Languages · Computer Science 2020-05-14 Ankush Das , Frank Pfenning

We provide a treatment of isomorphism within a set-theoretic formulation of dependent type theory. Type expressions are assigned their natural set-theoretic compositional meaning. Types are divided into small and large types --- sets and…

Logic in Computer Science · Computer Science 2018-01-23 David McAllester

Bidirectional typechecking, in which terms either synthesize a type or are checked against a known type, has become popular for its scalability (unlike Damas-Milner type inference, bidirectional typing remains decidable even for very…

Programming Languages · Computer Science 2020-08-25 Jana Dunfield , Neelakantan R. Krishnaswami

Linear type systems have a long and storied history, but not a clear path forward to integrate with existing languages such as OCaml or Haskell. In this paper, we study a linear type system designed with two crucial properties in mind:…

Programming Languages · Computer Science 2017-11-09 Jean-Philippe Bernardy , Mathieu Boespflug , Ryan R. Newton , Simon Peyton Jones , Arnaud Spiwack

We present PolySing#, a calculus that models process interaction based on copyless message passing, in the style of Singularity OS. We equip the calculus with a type system that accommodates polymorphic endpoint types, which are a variant…

Programming Languages · Computer Science 2011-08-03 Viviana Bono , Luca Padovani

This paper introduces Relational Type Theory (RelTT), a new approach to type theory with extensionality principles, based on a relational semantics for types. The type constructs of the theory are those of System F plus relational…

Logic in Computer Science · Computer Science 2021-01-26 Aaron Stump , Benjamin Delaware , Christopher Jenkins

We introduce two-sided type systems, which are sequent calculi for typing formulas. Two-sided type systems allow for hypothetical reasoning over the typing of compound program expressions, and the refutation of typing formulas. By…

Programming Languages · Computer Science 2023-10-23 Steven Ramsay , Charlie Walpole

Types in logic programming have focused on conservative approximations of program semantics by regular types, on one hand, and on type systems based on a prescriptive semantics defined for typed programs, on the other. In this paper, we…

Logic in Computer Science · Computer Science 2019-09-19 João Barbosa , Mário Florido , Vítor Santos Costa

Scripting code may present maintenance problems in the long run. There is, then, the call for methodologies that make it possible to control the properties of programs written in dynamic languages in an automatic fashion. We introduce…

Logic in Computer Science · Computer Science 2015-03-18 Marcin Benke , Viviana Bono , Aleksy Schubert

Most ML-like functional languages provide records and overloading as unrelated features. Records not only represent data structures, but are also used to implement dictionary passing, whereas overloading produces type constraints that are…

Programming Languages · Computer Science 2024-06-19 Alvise Spanò

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

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

This paper introduces a simple type system for combinatory logic in which combinators have at most one type, whose polymorphism is revealed by application. The combinatory types exactly describe the structure of their values, which may be…

Logic in Computer Science · Computer Science 2026-04-15 Barry Jay , Johannes Bader

Ambiguity is an critical component of language that allows for more effective communication between speakers, but is often ignored in NLP. Recent work suggests that NLP systems may struggle to grasp certain elements of human language…

Computation and Language · Computer Science 2024-03-22 Margaret Y. Li , Alisa Liu , Zhaofeng Wu , Noah A. Smith

Compositional methods are central to the development and verification of software systems. They allow to break down large systems into smaller components, while enabling reasoning about the behaviour of the composed system. For concurrent…

Logic in Computer Science · Computer Science 2020-11-12 Alex C. Keizer , Henning Basold , Jorge A. Pérez

Gradually typed languages allow statically typed and dynamically typed code to interact while maintaining benefits of both styles. The key to reasoning about these mixed programs is Siek-Vitousek-Cimini-Boyland's (dynamic) gradual…

Programming Languages · Computer Science 2018-07-10 Max S. New , Amal Ahmed

Practically all of the planning research is limited to states represented in terms of Boolean and numeric state variables. Many practical problems, for example, planning inside complex software systems, require far more complex data types,…

Artificial Intelligence · Computer Science 2023-01-02 Mojtaba Elahi , Jussi Rintanen

In this paper, we describe our experience incorporating gradual types in a statically typed functional language with Hindley-Milner style type inference. Where most gradually typed systems aim to improve static checking in a dynamically…

Programming Languages · Computer Science 2021-02-01 Bhargav Shivkumar , Enrique Naudon , Lukasz Ziarek