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We consider prescriptive type systems for logic programs (as in Goedel or Mercury). In such systems, the typing is static, but it guarantees an operational property: if a program is "well-typed", then all derivations starting in a…

Logic in Computer Science · Computer Science 2007-05-23 Pierre Deransart , Jan-Georg Smaus

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

Subtyping, also known as subtype polymorphism, is a concept extensively studied in programming language theory, delineating the substitutability relation among datatypes. This property ensures that programs designed for supertype objects…

Artificial Intelligence · Computer Science 2025-02-14 Đorđe Marković , Marc Denecker

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

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

There are various kinds of type analysis of logic programs. These include for example inference of types that describe an over-approximation of the success set of a program, inference of well-typings, and abstractions based on given types.…

Programming Languages · Computer Science 2007-05-23 Kim Henriksen , John Gallagher

In functional programming, datatypes a la carte provide a convenient modular representation of recursive datatypes, based on their initial algebra semantics. Unfortunately it is highly challenging to implement this technique in proof…

Logic in Computer Science · Computer Science 2015-09-11 Paolo Torrini , Tom Schrijvers

Context-free session types describe structured patterns of communication on heterogeneously-typed channels, allowing the specification of protocols unconstrained by tail recursion. The enhanced expressive power provided by non-regular…

Programming Languages · Computer Science 2023-09-21 Gil Silva , Andreia Mordido , Vasco T. Vasconcelos

We give an algebraic characterization of the syntax and semantics of a class of simply-typed languages, such as the language PCF: we characterize simply-typed binding syntax equipped with reduction rules via a universal property, namely as…

Logic in Computer Science · Computer Science 2012-08-28 Benedikt Ahrens

Path polymorphism is the ability to define functions that can operate uniformly over arbitrary recursively specified data structures. Its essence is captured by patterns of the form $x\,y$ which decompose a compound data structure into its…

Logic in Computer Science · Computer Science 2020-06-30 Andrés Viso , Eduardo Bonelli , Mauricio Ayala-Rincón

We show how systems of sessions types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as…

Logic in Computer Science · Computer Science 2012-01-04 Ugo Dal Lago , Paolo Di Giamberardino

We show how systems of session types can enforce interactions to be bounded for all typable processes. The type system we propose is based on Lafont's soft linear logic and is strongly inspired by recent works about session types as…

Logic in Computer Science · Computer Science 2011-08-24 Ugo Dal Lago , Paolo Di Giamberardino

We study the notion of subtyping for session types in a logical setting, where session types are propositions of multiplicative/additive linear logic extended with least and greatest fixed points. The resulting subtyping relation admits a…

Logic in Computer Science · Computer Science 2023-04-14 Ross Horne , Luca Padovani

Program reductions are used widely to simplify reasoning about the correctness of concurrent and distributed programs. In this paper, we propose a general approach to proof simplification of concurrent programs based on exploring generic…

Programming Languages · Computer Science 2019-11-01 Azadeh Farzan , Anthony Vandikas

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

The Smodels system implements the stable model semantics for normal logic programs. It handles a subclass of programs which contain no function symbols and are domain-restricted but supports extensions including built-in functions as well…

Artificial Intelligence · Computer Science 2007-05-23 Ilkka Niemela , Patrik Simons , Tommi Syrjanen

Tabling is a powerful resolution mechanism for logic programs that captures their least fixed point semantics more faithfully than plain Prolog. In many tabling applications, we are not interested in the set of all answers to a goal, but…

Programming Languages · Computer Science 2016-08-03 Alexander Vandenbroucke , Maciej Piróg , Benoit Desouter , Tom Schrijvers

We study the interaction of structural subtyping with parametric polymorphism and recursively defined type constructors. Although structural subtyping is undecidable in this setting, we describe a notion of parametricity for type…

Programming Languages · Computer Science 2023-10-30 Henry DeYoung , Andreia Mordido , Frank Pfenning , Ankush Das

The possibility of translating logic programs into functional ones has long been a subject of investigation. Common to the many approaches is that the original logic program, in order to be translated, needs to be well-moded and this has…

Programming Languages · Computer Science 2007-05-23 S. Etalle , J. Mountjoy

A logic programming paradigm which expresses solutions to problems as stable models has recently been promoted as a declarative approach to solving various combinatorial and search problems, including planning problems. In this paradigm,…

Artificial Intelligence · Computer Science 2007-05-23 Maurice Bruynooghe
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