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We present a prescriptive type system with parametric polymorphism and subtyping for constraint logic programs. The aim of this type system is to detect programming errors statically. It introduces a type discipline for constraint logic…

Programming Languages · Computer Science 2009-09-29 Francois Fages , Emmanuel Coquery

MLsub is a minimal language with a type system combining subtyping and parametric polymorphism and a type inference algorithm which infers compact principal types. Simple-sub is an alternative inference algorithm which can be implemented…

Programming Languages · Computer Science 2024-07-10 Rodrigo Marques , Mário Florido , Pedro Vasconcelos

We define and study "row polymorphism" for a type system with set-theoretic types, specifically union, intersection, and negation types. We consider record types that embed row variables and define a subtyping relation by interpreting types…

Programming Languages · Computer Science 2025-09-29 Giuseppe Castagna , Loïc Peyrot

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

Structural subtyping and parametric polymorphism provide similar flexibility and reusability to programmers. For example, both features enable the programmer to provide a wider record as an argument to a function that expects a narrower…

Programming Languages · Computer Science 2023-09-12 Wenhao Tang , Daniel Hillerström , James McKinna , Michel Steuwer , Ornela Dardha , Rongxiao Fu , Sam Lindley

Prolog is a well known declarative programming language based on propositional Horn formulas. It is useful in various areas, including artificial intelligence, automated theorem proving, mathematical logic and so on. An active research area…

Logic in Computer Science · Computer Science 2021-03-02 Anish Mallick , Anil Shukla

We explore recursive programming with extensible data types. Row types make the structure of data types first class, and can express a variety of type system features including record subtyping and combination of case branches. Our goal is…

Programming Languages · Computer Science 2025-07-23 Alex Hubers , Apoorv Ingle , Andrew Marmaduke , J. Garrett Morris

The expression problem describes a fundamental tradeoff between two types of extensibility: extending a type with new operations, such as by pattern matching on an algebraic data type in functional programming, and extending a type with new…

Programming Languages · Computer Science 2025-11-21 Bohdan Liesnikov , David Binder , Tim Süberkrüb

We present a novel approach to generic programming over extensible data types. Row types capture the structure of records and variants, and can be used to express record and variant subtyping, record extension, and modular composition of…

Programming Languages · Computer Science 2023-07-21 Alex Hubers , J. Garrett Morris

Pattern-matching programming is an example of a rule-based programming style developed in functional languages. This programming style is intensively used in dialects of ML but is restricted to algebraic data-types. This restriction limits…

Programming Languages · Computer Science 2009-12-25 Julien Cohen

Benefits of static type systems are well-known: they offer guarantees that no type error will occur during runtime and, inherently, inferred types serve as documentation on how functions are called. On the other hand, many type systems have…

Programming Languages · Computer Science 2020-08-31 Isabel Wingen , Philipp Körner

Designing and implementing typed programming languages is hard. Every new type system feature requires extending the metatheory and implementation, which are often complicated and fragile. To ease this process, we would like to provide…

Programming Languages · Computer Science 2020-08-18 Jana Dunfield

This paper introduces a framework of parametric descriptive directional types for constraint logic programming (CLP). It proposes a method for locating type errors in CLP programs and presents a prototype debugging tool. The main technique…

Programming Languages · Computer Science 2007-05-23 W. Drabent , J. Maluszynski , P. Pietrzak

When scripts in untyped languages grow into large programs, maintaining them becomes difficult. A lack of explicit type annotations in typical scripting languages forces programmers to must (re)discover critical pieces of design information…

Programming Languages · Computer Science 2011-06-15 Sam Tobin-Hochstadt , Matthias Felleisen

This paper presents an approach to Prolog-style term encoding of typed feature structures. The type feature structures to be encoded are constrained by appropriateness conditions as in Carpenter's ALE system. But unlike ALE, we impose a…

cmp-lg · Computer Science 2008-02-03 Dale Gerdemann

A type system is introduced for a generic Object Oriented programming language in order to infer resource upper bounds. A sound andcomplete characterization of the set of polynomial time computable functions is obtained. As a consequence,…

Programming Languages · Computer Science 2018-02-20 Emmanuel Hainry , Romain Péchoux

Logic programming languages present clear advantages in terms of declarativeness and conciseness. However, the ideas of logic programming have been met with resistance in other programming communities, and have not generally been adopted by…

Programming Languages · Computer Science 2026-01-08 Ivan Perez , Angel Herranz

We propose a method for inferring \emph{parameterized regular types} for logic programs as solutions for systems of constraints over sets of finite ground Herbrand terms (set constraint systems). Such parameterized regular types generalize…

Logic in Computer Science · Computer Science 2010-02-16 F. Bueno , J. Navas , M. Hermenegildo

We present a type system that combines, in a controlled way, first-order polymorphism with intersectiontypes, union types, and subtyping, and prove its safety. We then define a type reconstruction algorithm that issound and terminating.…

Programming Languages · Computer Science 2023-11-20 Giuseppe Castagna , Mickaël Laurent , Kim Nguyen

The paradigm of Tabled Logic Programming (TLP) is now supported by a number of Prolog systems, including XSB, YAP Prolog, B-Prolog, Mercury, ALS, and Ciao. The reasons for this are partly theoretical: tabling ensures termination and optimal…

Programming Languages · Computer Science 2010-12-24 Terrance Swift , David S. Warren
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