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Type analyses of logic programs which aim at inferring the types of the program being analyzed are presented in a unified abstract interpretation-based framework. This covers most classical abstract interpretation-based type analyzers for…

Software Engineering · Computer Science 2009-09-29 Claudio Vaucheret , Francisco Bueno

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

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

In this paper we present a new static data type inference algorithm for logic programming. Without the need of declaring types for predicates, our algorithm is able to automatically assign types to predicates which, in most cases,…

Programming Languages · Computer Science 2021-08-17 João Barbosa , Mário Florido , Vítor Santos Costa

In this tutorial I will present how a combination of linear and dependent type can be useful to describe different properties about higher order programs. Linear types have been proved particularly useful to express properties of functions;…

Programming Languages · Computer Science 2013-07-01 Marco Gaboardi

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

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

Designing a static analysis is generally a substantial undertaking, requiring significant expertise in both program analysis and the domain of the program analysis, and significant development resources. As a result, most program analyses…

Programming Languages · Computer Science 2018-10-17 Colin S. Gordon

As gradual typing becomes increasingly popular in languages like Python and TypeScript, there is a growing need to infer type annotations automatically. While type annotations help with tasks like code completion and static error catching,…

Programming Languages · Computer Science 2020-05-06 Jiayi Wei , Maruth Goyal , Greg Durrett , Isil Dillig

We propose a type-based analysis to infer the session protocols of channels in an ML-like concurrent functional language. Combining and extending well-known techniques, we develop a type-checking system that separates the underlying ML type…

Programming Languages · Computer Science 2016-04-14 Carlo Spaccasassi , Vasileios Koutavas

Environments for systematic construction of logic programs are needed in the academy as well as in the industry. Such environments should support well defined construction methods and should be able to be extended and interact with other…

Programming Languages · Computer Science 2007-05-23 Gustavo A. Ospina , Baudouin Le Charlier

Our goal is to use formal methods to analyse normative documents written in English, such as privacy policies and service-level agreements. This requires the combination of a number of different elements, including information extraction…

Computation and Language · Computer Science 2017-07-14 John J. Camilleri , Mohammad Reza Haghshenas , Gerardo Schneider

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

Refinement types enable lightweight verification of functional programs. Algorithms for statically inferring refinement types typically work by reduction to solving systems of constrained Horn clauses extracted from typing derivations. An…

Programming Languages · Computer Science 2020-11-11 Zvonimir Pavlinovic , Yusen Su , Thomas Wies

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

In the theory of programming languages, type inference is the process of inferring the type of an expression automatically, often making use of information from the context in which the expression appears. Such mechanisms turn out to be…

Logic in Computer Science · Computer Science 2012-05-10 Jeremy Avigad

Dynamically typed object-oriented languages enable programmers to write elegant, reusable and extensible programs. However, with the current methodology for program verification, the absence of static type information creates significant…

Programming Languages · Computer Science 2015-01-13 Björn Engelmann , Ernst-Rüdiger Olderog , Nils Erik Flick

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

Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of particular use in dependently typed programming are indexed types that refine data by computationally useful…

Logic in Computer Science · Computer Science 2015-07-01 Robert Atkey , Patricia Johann , Neil Ghani

We consider a general prescriptive type system with parametric polymorphism and subtyping for logic programs. The property of subject reduction expresses the consistency of the type system w.r.t. the execution model: if a program is…

Logic in Computer Science · Computer Science 2009-09-25 Jan-Georg Smaus , Francois Fages , Pierre Deransart
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