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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

We combine dependent types with linear type systems that soundly and completely capture polynomial time computation. We explore two systems for capturing polynomial time: one system that disallows construction of iterable data, and one,…

Logic in Computer Science · Computer Science 2023-11-16 Robert Atkey

We give new proofs of soundness (all representable functions on base types lies in certain complexity classes) for Elementary Affine Logic, LFPL (a language for polytime computation close to realistic functional programming introduced by…

Logic in Computer Science · Computer Science 2007-05-23 U. Dal Lago , M. Hofmann

Behavioural types provide a promising way to achieve lightweight, language-integrated verification for communication-centric software. However, a large barrier to the adoption of behavioural types is that the current state of the art…

Programming Languages · Computer Science 2024-04-09 Simon Fowler , Philipp Haller , Roland Kuhn , Sam Lindley , Alceste Scalas , Vasco T. Vasconcelos

There has been a considerable amount of work on retrieving functions in function libraries using their type as search key. The availability of rich component specifications, in the form of behavioral types, enables similar queries where one…

Logic in Computer Science · Computer Science 2014-06-16 Mariangiola Dezani-Ciancaglini , Luca Padovani , Jovanka Pantovic

We introduce an infinitary first order linear logic with least and greatest fixed points. To ensure cut elimination, we impose a validity condition on infinite derivations. Our calculus is designed to reason about rich signatures of…

Logic in Computer Science · Computer Science 2021-03-09 Farzaneh Derakhshan , Frank Pfenning

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

Transformer-based Large Language Models (LLMs) often impose limitations on the length of the text input to ensure the generation of fluent and relevant responses. This constraint restricts their applicability in scenarios involving long…

Computation and Language · Computer Science 2023-12-18 Weizhi Fei , Xueyan Niu , Pingyi Zhou , Lu Hou , Bo Bai , Lei Deng , Wei Han

Client-server sessions are based on a variation of the traditional interpretation of linear logic propositions as session types in which non-linear channels (those regulating the interaction between a pool of clients and a single server)…

Logic in Computer Science · Computer Science 2022-12-13 Luca Padovani

Some type-based approaches to termination use sized types: an ordinal bound for the size of a data structure is stored in its type. A recursive function over a sized type is accepted if it is visible in the type system that recursive calls…

Programming Languages · Computer Science 2015-07-01 Andreas Abel

Multi types---aka non-idempotent intersection types---have been used to obtain quantitative bounds on higher-order programs, as pioneered by de Carvalho. Notably, they bound at the same time the number of evaluation steps and the size of…

Programming Languages · Computer Science 2018-07-09 Beniamino Accattoli , Stéphane Graham-Lengrand , Delia Kesner

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

Session types are becoming popular and have been integrated in several mainstream programming languages. Nevertheless, while many programming languages consider asynchronous fifo channel communication, the notion of subtyping used in…

Programming Languages · Computer Science 2021-04-30 Lorenzo Bacchiani , Mario Bravetti , Julien Lange , Gianluigi Zavattaro

Much research has studied foundations for correct and reliable communication-centric systems. A salient approach to correctness uses session types to enforce structured communications; a recent approach to reliability uses reversible…

Logic in Computer Science · Computer Science 2016-06-21 Claudio A. Mezzina , Jorge A. Pérez

We study increasingly expressive type systems, from $F^\mu$ -- an extension of the polymorphic lambda calculus with equirecursive types -- to $F^{\mu;}_\omega$ -- the higher-order polymorphic lambda calculus with equirecursive types and…

Logic in Computer Science · Computer Science 2023-01-23 Diana Costa , Andreia Mordido , Diogo Poças , Vasco T. Vasconcelos

All biological systems are subject to perturbations: due to thermal fluctuations, external environments, or mutations. Yet, while biological systems are composed of thousands of interacting components, recent high-throughput experiments…

Quantitative Methods · Quantitative Biology 2024-12-19 Christopher Joel Russo , Kabir Husain , Arvind Murugan

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

Up to now session types have been used under the assumptions of point to point communication, to ensure the linearity of session endpoints, and reliable communication, to ensure send/receive duality. In this paper we define a session type…

Programming Languages · Computer Science 2014-06-16 Dimitrios Kouzapas , Ramūnas Gutkovas , Simon J. Gay

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

We present Most, a process language with message-observing session types. Message-observing session types extend binary session types with type-level computation to specify communication protocols that vary based on messages observed on…

Programming Languages · Computer Science 2024-03-08 Ryan Kavanagh , Brigitte Pientka
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