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Related papers: Polymorphic Type Inference for Dynamic Languages

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Here we define a new unification algorithm for terms interpreted in semantic domains denoted by a subclass of regular types here called deterministic regular types. This reflects our intention not to handle the semantic universe as a…

Logic in Computer Science · Computer Science 2025-02-14 João Barbosa , Mário Florido , Vítor Santos Costa

We present a type system for strategy languages that express program transformations as compositions of rewrite rules. Our row-polymorphic type system assists compiler engineers to write correct strategies by statically rejecting non…

Programming Languages · Computer Science 2021-03-26 Rongxiao Fu , Xueying Qin , Ornela Dardha , Michel Steuwer

Programs written in dynamic languages make heavy use of features --- run-time type tests, value-indexed dictionaries, polymorphism, and higher-order functions --- that are beyond the reach of type systems that employ either purely syntactic…

Programming Languages · Computer Science 2011-09-16 Ravi Chugh , Patrick M. Rondon , Ranjit Jhala

We present a logically principled foundation for systematizing, in a way that works with any computational effect and evaluation order, SMT constraint generation seen in refinement type systems for functional programming languages. By…

Programming Languages · Computer Science 2023-08-21 Dimitrios J. Economou , Neel Krishnaswami , Jana Dunfield

Bidirectional typechecking, in which terms either synthesize a type or are checked against a known type, has become popular for its applicability to a variety of type systems, its error reporting, and its ease of implementation. Following…

Programming Languages · Computer Science 2020-09-22 Jana Dunfield , Neelakantan R. Krishnaswami

Type-and-effect systems help the programmer to organize data and computational effects in a program. While for traditional type systems expressive variants with sophisticated inference algorithms have been developed and widely used in…

Programming Languages · Computer Science 2025-10-24 Patrycja Balik , Szymon Jędras , Piotr Polesiuk

We show that the question whether a term is typable is decidable for type systems combining inclusion polymorphism with parametric polymorphism provided the type constructors are at most unary. To prove this result we first reduce the…

Logic in Computer Science · Computer Science 2007-05-23 Sabine Glesner , Karl Stroetmann

We propose a type system to analyze the time consumed by multi-threaded imperative programs with a shared global memory, which delineates a class of safe multi-threaded programs. We demonstrate that a safe multi-threaded program runs in…

Computational Complexity · Computer Science 2012-04-02 Jean-Yves Marion , Romain Péchoux

Deadlocks occur in concurrent programs as a consequence of cyclic resource acquisition between threads. In this paper we present a novel type system that guarantees deadlock freedom for a language with references, unstructured locking…

Programming Languages · Computer Science 2011-10-20 Prodromos Gerakios , Nikolaos Papaspyrou , Konstantinos Sagonas

We study polymorphic type assignment systems for untyped lambda-calculi with effects, based on Moggi's monadic approach. Moving from the abstract definition of monads, we introduce a version of the call-by-value computational…

Logic in Computer Science · Computer Science 2020-02-10 Ugo de'Liguoro , Riccardo Treglia

The Damas-Hindley-Milner (ML) type system owes its success to principality, the property that every well-typed expression has a unique most general type. This makes inference predictable and efficient. Unfortunately, many extensions of ML…

Programming Languages · Computer Science 2026-05-04 Alistair O'Brien , Didier Rémy , Gabriel Scherer

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

Type inference is an application domain that is a natural fit for logic programming (LP). LP systems natively support unification, which serves as a basic building block of typical type inference algorithms. In particular, polymorphic type…

Programming Languages · Computer Science 2017-09-13 Ki Yung Ahn

We show how (well-established) type systems based on non-idempotent intersection types can be extended to characterize termination properties of functional programming languages with pattern matching features. To model such programming…

Programming Languages · Computer Science 2024-08-21 Sandra Alves , Delia Kesner , Miguel Ramos

We introduce an algebraic analogue of dynamical systems, based on term rewriting. We show that a recursive function applied to the output of an iterated rewriting system defines a formal class of models into which all the main architectures…

Category Theory · Mathematics 2023-11-07 Iolo Jones , Jerry Swan , Jeffrey Giansiracusa

Type isomorphism is useful for retrieving library components, since a function in a library can have a type different from, but isomorphic to, the one expected by the user. Moreover type isomorphism gives for free the coercion required to…

Logic in Computer Science · Computer Science 2015-03-18 Mario Coppo , Mariangiola Dezani-Ciancaglini , Ines Margaria , Maddalena Zacchi

We propose to use orthologic as the basis for designing type systems supporting intersection, union, and negation types in the presence of subtyping assumptions. We show how to extend orthologic to support monotonic and antimonotonic…

Programming Languages · Computer Science 2025-07-15 Simon Guilloud , Viktor Kunčak

We revisit occurrence typing, a technique to refine the type of variables occurring in type-cases and, thus, capturesome programming patterns used in untyped languages. Although occurrence typing was tied from its inceptionto set-theoretic…

Programming Languages · Computer Science 2022-02-25 Giuseppe Castagna , Victor Lanvin , Mickaël Laurent , Kim Nguyen

We propose a programming model where effects are treated in a disciplined way, and where the potential side-effects of a function are apparent in its type signature. The type and effect of expressions can also be inferred automatically, and…

Programming Languages · Computer Science 2014-06-10 Daan Leijen

We present a type system and inference algorithm for a rich subset of JavaScript equipped with objects, structural subtyping, prototype inheritance, and first-class methods. The type system supports abstract and recursive objects, and is…

Programming Languages · Computer Science 2016-10-19 Satish Chandra , Colin S. Gordon , Jean-Baptiste Jeannin , Cole Schlesinger , Manu Sridharan , Frank Tip , Youngil Choi