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This paper shows that the recent approach to quantitative typing systems for programming languages can be extended to pattern matching features. Indeed, we define two resource aware type systems, named U and E, for a lambda-calculus…

Logic in Computer Science · Computer Science 2019-12-05 Sandra Alves , Delia Kesner , Daniel Ventura

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

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

Although good encryption functions are probabilistic, most symbolic models do not capture this aspect explicitly. A typical solution, recently used to prove the soundness of such models with respect to computational ones, is to explicitly…

Cryptography and Security · Computer Science 2016-08-16 Véronique Cortier , Heinrich Hördegen , Bogdan Warinschi

Analysis of (partial) groundness is an important application of abstract interpretation. There are several proposals for improving the precision of such an analysis by exploiting type information, icluding our own work with Hill and King,…

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

Topological mapping offers a compact and robust representation for navigation, but progress in the field is hindered by the lack of standardized evaluation metrics, datasets, and protocols. Existing systems are assessed using different…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Jiaming Wang , Diwen Liu , Jizhuo Chen , Harold Soh

We present a system for the investigation of computational properties of categorial grammar parsing based on a labelled analytic tableaux theorem prover. This proof method allows us to take a modular approach, in which the basic grammar can…

cmp-lg · Computer Science 2008-02-03 Saturnino F. Luz-Filho , Patrick Sturt

Session types have been proposed as a means of statically verifying implementations of communication protocols. Although prior work has been successful in verifying some classes of protocols, it does not cope well with parameterized,…

Programming Languages · Computer Science 2012-08-24 Minas Charalambides , Peter Dinges , Gul Agha

System F, the polymorphic lambda calculus, features the principle of impredicativity: polymorphic types may be (explicitly) instantiated at other types, enabling many powerful idioms such as Church encoding and data abstraction.…

Programming Languages · Computer Science 2022-03-04 Henry Mercer , Cameron Ramsay , Neel Krishnaswami

Modern languages are equipped with static type checking/inference that helps programmers to keep a clean programming style and to reduce errors. However, the ever-growing size of programs and their continuous evolution require building fast…

Programming Languages · Computer Science 2018-11-28 Matteo Busi , Pierpaolo Degano , Letterio Galletta

Many existing systems track aliasing and uniqueness, each with their own trade-off between expressiveness and developer effort. We propose Latte, a new approach that aims to minimize both the amount of annotations and the complexity of…

Programming Languages · Computer Science 2023-09-12 Conrad Zimmerman , Catarina Gamboa , Alcides Fonseca , Jonathan Aldrich

We consider the verification of parameterized networks of replicated processes whose architecture is described by hyperedge-replacement graph grammars. Due to the undecidability of verification problems such as reachability or coverability…

Formal Languages and Automata Theory · Computer Science 2025-02-24 Marius Bozga , Radu Iosif , Arnaud Sangnier , Neven Villani

Type-free systems of logic are designed to consistently handle significant instances of self-reference. Some consistent type-free systems also have the feature of allowing the sort of general abstraction or comprehension principle that…

Logic · Mathematics 2007-05-23 Wayne Aitken , Jeffrey A. Barrett

Capitalizing on previous encodings and formal developments about nominal calculi and type systems, we propose a weak Higher-Order Abstract Syntax formalization of the type language of pure System F<: within Coq, a proof assistant based on…

Logic in Computer Science · Computer Science 2013-04-01 Alberto Ciaffaglione , Ivan Scagnetto

This paper presents a grammar formalism designed for use in data-oriented approaches to language processing. The formalism is best described as a right-linear indexed grammar extended in linguistically interesting ways. The paper goes on to…

cmp-lg · Computer Science 2016-08-31 David Tugwell

This work introduces the novel concept of kind refinement, which we develop in the context of an explicitly polymorphic ML-like language with type-level computation. Just as type refinements embed rich specifications by means of…

Programming Languages · Computer Science 2019-08-02 Luís Caires , Bernardo Toninho

Reasoning about program equivalence in imperative languages is notoriously challenging, as the presence of states (in the form of variable stores) fundamentally increases the observational power of program terms. The key desideratum for any…

Programming Languages · Computer Science 2025-07-23 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat

In this paper we provide for parsing with respect to grammars expressed in a general TFS-based formalism, a restriction of ALE. Our motivation being the design of an abstract (WAM-like) machine for the formalism, we consider parsing as a…

cmp-lg · Computer Science 2016-08-31 Shuly Wintner , Nissim Francez

Resource-aware type systems statically approximate not only the expected result type of a program, but also the way external resources are used, e.g., how many times the value of a variable is needed. We extend the type system of…

Programming Languages · Computer Science 2023-02-16 Riccardo Bianchini , Francesco Dagnino , Paola Giannini , Elena Zucca

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