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The so-called light logics have been introduced as logical systems enjoying quite remarkable normalization properties. Designing a type assignment system for pure lambda calculus from these logics, however, is problematic. In this paper we…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Paolo Coppola , Ugo Dal Lago , Simona Ronchi Della Rocca

We extend the {\lambda}-calculus with constructs suitable for relational and functional-logic programming: non-deterministic choice, fresh variable introduction, and unification of expressions. In order to be able to unify…

编程语言 · 计算机科学 2021-03-02 Pablo Barenbaum , Federico Lochbaum , Mariana Milicich

A $\lambda$-calculus is introduced in which all programs can be evaluated in probabilistic polynomial time and in which there is sufficient structure to represent sequential cryptographic constructions and adversaries for them, even when…

编程语言 · 计算机科学 2024-10-24 Ugo Dal Lago , Zeinab Galal , Giulia Giusti

We use dialgebras, generalising both algebras and coalgebras, as a complement of the standard coalgebraic framework, aimed at describing the semantics of an interactive system by the means of reaction rules. In this model, interaction is…

计算机科学中的逻辑 · 计算机科学 2013-06-05 Vincenzo Ciancia

This paper studies useful sharing, which is a sophisticated optimization for lambda-calculi, in the context of call-by-need evaluation in presence of open terms. Useful sharing turns out to be harder in call-by-need than in call-by-name or…

计算机科学中的逻辑 · 计算机科学 2021-10-29 Beniamino Accattoli , Maico Leberle

Lambda calculi with algebraic data types lie at the core of functional programming languages and proof assistants, but conceal at least two fundamental theoretical problems already in the presence of the simplest non-trivial data type, the…

计算机科学中的逻辑 · 计算机科学 2019-05-21 Danko Ilik

Motivated by recent results of Kapron and Steinberg (LICS 2018) we introduce new forms of iteration on length in the setting of applied lambda-calculi for higher-type poly-time computability. In particular, in a type-two setting, we…

计算复杂性 · 计算机科学 2019-08-15 Bruce M. Kapron , Florian Steinberg

We present a C-language implementation of the lambda-pi calculus by extending the (call-by-need) stack machine of Ariola, Chang and Felleisen to hold types, using a typeless- tagless- final interpreter strategy. It has the advantage of…

编程语言 · 计算机科学 2015-09-24 David M. Rogers

We study the lambda-mu-calculus, extended with explicit substitution, and define a compositional output-based interpretation into a variant of the pi-calculus with pairing that preserves single-step explicit head reduction with respect to…

计算机科学中的逻辑 · 计算机科学 2016-02-22 Steffen van Bakel , Maria Grazia Vigliotti

Applicative bisimulation is a coinductive technique to check program equivalence in higher-order functional languages. It is known to be sound, and sometimes complete, with respect to context equivalence. In this paper we show that…

计算机科学中的逻辑 · 计算机科学 2015-06-23 Ugo Dal Lago , Alessandro Rioli

In NLP, a large volume of tasks involve pairwise comparison between two sequences (e.g. sentence similarity and paraphrase identification). Predominantly, two formulations are used for sentence-pair tasks: bi-encoders and cross-encoders.…

计算与语言 · 计算机科学 2022-03-15 Fangyu Liu , Yunlong Jiao , Jordan Massiah , Emine Yilmaz , Serhii Havrylov

A comparison of Landin's form of lambda calculus with Church's shows that, independently of the lambda calculus, there exists a mechanism for converting functions with arguments indexed by variables to the usual kind of function where the…

编程语言 · 计算机科学 2015-06-01 M. H. van Emden

We propose an implementation of lambda+, a recently introduced simply typed lambda-calculus with pairs where isomorphic types are made equal. The rewrite system of lambda+ is a rewrite system modulo an equivalence relation, which makes its…

计算机科学中的逻辑 · 计算机科学 2018-11-06 Alejandro Díaz-Caro , Pablo E. Martínez López

The invariance thesis of Slot and van Emde Boas states that all reasonable models of computation simulate each other with polynomially bounded overhead in time and constant-factor overhead in space. In this paper we show that a family of…

编程语言 · 计算机科学 2021-02-12 Małgorzata Biernacka , Witold Charatonik , Tomasz Drab

Formalising the pi-calculus is an illuminating test of the expressiveness of logical frameworks and mechanised metatheory systems, because of the presence of name binding, labelled transitions with name extrusion, bisimulation, and…

计算机科学中的逻辑 · 计算机科学 2015-07-30 Roly Perera , James Cheney

Extending the lambda-calculus with a construct for sharing, such as let expressions, enables a special representation of terms: iterated applications are decomposed by introducing sharing points in between any two of them, reducing to the…

计算机科学中的逻辑 · 计算机科学 2019-07-16 Beniamino Accattoli , Andrea Condoluci , Giulio Guerrieri , Claudio Sacerdoti Coen

The usual strategy for deducing the $\pi\mbox{--}\pi^\ast$ electronic energy (or optical bandgap) in a molecule with an "infinite" number of conjugated double bonds consists in fitting a function with some adjustable parameters to the…

材料科学 · 物理学 2015-12-18 K. Razi Naqvi

This paper addresses the problem of mapping natural language sentences to lambda-calculus encodings of their meaning. We describe a learning algorithm that takes as input a training set of sentences labeled with expressions in the lambda…

计算与语言 · 计算机科学 2012-07-09 Luke S. Zettlemoyer , Michael Collins

Recently, Miller and Wu introduced the positive $\lambda$-calculus, a call-by-value $\lambda$-calculus with sharing obtained by assigning proof terms to the positively polarized focused proofs for minimal intuitionistic logic. The positive…

计算机科学中的逻辑 · 计算机科学 2024-12-18 Beniamino Accattoli , Jui-Hsuan Wu

Parameterization extends higher-order processes with the capability of abstraction (akin to that in lambda-calculus), and is known to be able to enhance the expressiveness. This paper focuses on the parameterization of names, i.e. a…

计算机科学中的逻辑 · 计算机科学 2015-08-21 Xian Xu , Qiang Yin , Huan Long