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We address a problem connected to the unfolding semantics of functional programming languages: give a useful characterization of those infinite lambda-terms that are lambda_{letrec}-expressible in the sense that they arise as infinite…

Programming Languages · Computer Science 2013-05-28 Clemens Grabmayer , Jan Rochel

We introduce weak exceptional sequence of modules which can be viewed as another modification of the standard case, different than the works of Igusa-Todorov \cite{Igusa-Todorov} and Buan-Marsh \cite{Buan-Marsh}. For hereditary algebras it…

Representation Theory · Mathematics 2019-10-16 Emre Sen

In this paper, we introduce and study the class of {\it enriched strictly pseudocontractive mappings} in Hilbert spaces and extend the corresponding convergence theorem (Theorem 12) in [Browder, F. E., Petryshyn, W. V., {\it Construction of…

Functional Analysis · Mathematics 2019-09-10 Vasile Berinde

The aim of this paper is to investigate weakly developable spaces. For a comparison with semi-metrizable spaces, we introduce and study a class of spaces among those of weakly developable spaces, semimetrizable spaces and first countable…

General Topology · Mathematics 2013-10-03 Boualem Alleche

The lambda calculus is a widely accepted computational model of higher-order functional pro- grams, yet there is not any direct and universally accepted cost model for it. As a consequence, the computational difficulty of reducing lambda…

Logic in Computer Science · Computer Science 2012-02-09 Beniamino Accattoli , Ugo Dal Lago

A longstanding open problem in lambda calculus is whether there exist continuous models of the untyped lambda calculus whose theory is exactly the least lambda-theory lambda-beta or the least sensible lambda-theory H (generated by equating…

Logic in Computer Science · Computer Science 2013-04-01 Antonio Bucciarelli , Alberto Carraro , Antonino Salibra

Let $H$ be a Hilbert space. We investigate the properties of weak limit points of iterates of random projections onto $K\geq 2$ closed convex sets in $H$ and the parallel properties of weak limit points of residuals of random greedy…

Functional Analysis · Mathematics 2021-12-10 Petr A. Borodin , Eva Kopecka

This paper presents a self-contained new theory of weak fractional differential calculus in one-dimension. The crux of this new theory is the introduction of a weak fractional derivative notion which is a natural generalization of integer…

Functional Analysis · Mathematics 2020-07-21 Xiaobing Feng , Mitchell Sutton

Regularized empirical risk minimization with constrained labels (in contrast to fixed labels) is a remarkably general abstraction of learning. For common loss and regularization functions, this optimization problem assumes the form of a…

Machine Learning · Computer Science 2016-02-23 Iaroslav Shcherbatyi , Bjoern Andres

We study weak geodesics in the space of potentials for the deformed Hermitian-Yang-Mills equation. The geodesic equation can be formulated as a degenerate elliptic equation, allowing us to employ nonlinear Dirichlet duality theory, as…

Differential Geometry · Mathematics 2019-06-18 Adam Jacob

This paper presents two new techniques relating to inexact solution of subproblems in augmented Lagrangian methods for convex programming. The first involves combining a relative error criterion for solution of the subproblems with over- or…

Optimization and Control · Mathematics 2025-09-17 Jonathan Eckstein , Chang Yu

We introduce LAM, a subsystem of IMALL2 with restricted additive rules able to manage duplication linearly, called linear additive rules. LAM is presented as the type assignment system for a calculus endowed with copy constructors, which…

Logic in Computer Science · Computer Science 2022-01-03 Gianluca Curzi

This paper is the second in a series of works on weak convergence of one-step schemes for solving stochastic differential equations (SDEs) with one-sided Lipschitz conditions. It is known that the super-linear coefficients may lead to a…

Numerical Analysis · Mathematics 2024-10-29 Yuying Zhao , Xiaojie Wang , Zhongqiang Zhang

In this note we provide a full conjugacy and subdifferential calculus for convex convex-composite functions in finite-dimensional space. Our approach, based on infimal convolution and cone-convexity, is straightforward and yields the…

Optimization and Control · Mathematics 2019-08-22 James V. Burke , Tim Hoheisel , Quang V. Nguyen

The theory of finite and infinitary term rewriting is extensively developed for orthogonal rewrite systems, but to a lesser degree for weakly orthogonal rewrite systems. In this note we present some contributions to the latter case of weak…

Logic in Computer Science · Computer Science 2009-11-06 Joerg Endrullis , Clemens Grabmayer , Dimitri Hendriks , Jan Willem Klop

The calculus of finite differences is a solid foundation for the development of operations such as the derivative and the integral for infinite sequences. Here we showed a way to extend it for finite sequences. We could then define…

Discrete Mathematics · Computer Science 2018-11-06 Sérgio Martins Filho

The aim of this paper is to prove existence of weak solutions of hyperbolic-parabolic evolution inclusions defined on Lipschitz domains with mixed boundary conditions describing, for instance, damage processes and elasticity with inertia…

Analysis of PDEs · Mathematics 2016-09-16 Christian Heinemann , Christiane Kraus

This paper introduces a notion of equivalence for higher-dimensional automata, called weak equivalence. Weak equivalence focuses mainly on a traditional trace language and a new homology language, which captures the overall independence…

Logic in Computer Science · Computer Science 2023-06-22 Thomas Kahl

We establish decidability for the infinitely many axiomatic extensions of the commutative Full Lambek logic with weakening FLew (i.e. IMALLW) that have a cut-free hypersequent proof calculus (specifically: every analytic structural rule…

Logic in Computer Science · Computer Science 2021-04-21 A. R. Balasubramanian , Timo Lang , Revantha Ramanayake

Submodular set-functions have many applications in combinatorial optimization, as they can be minimized and approximately maximized in polynomial time. A key element in many of the algorithms and analyses is the possibility of extending the…

Machine Learning · Computer Science 2016-02-24 Francis Bach