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Copatterns give functional programs a flexible mechanism for responding to their context, and composition can greatly enhance their expressiveness. However, that same expressive power makes it harder to precisely specify the behavior of…

Programming Languages · Computer Science 2025-08-19 Paul Downen

We consider several classes of complete intersection numerical semigroups, aris- ing from many different contexts like algebraic geometry, commutative algebra, coding theory and factorization theory. In particular, we determine all the…

Commutative Algebra · Mathematics 2014-04-08 Marco D'Anna , Vincenzo Micale , Alessio Sammartano

This is a continuation of the paper (quant-ph/0009012). In this letter we extend coherent operators and study some basic properties (the disentangling formula, resolution of unity, commutation relation, etc). We also propose a perspective…

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii

Process calculi and graph transformation systems provide models of reactive systems with labelled transition semantics. While the semantics for process calculi is compositional, this is not the case for graph transformation systems, in…

Logic in Computer Science · Computer Science 2011-08-03 Andrei Dorman , Tobias Heindel

Destination-passing style programming introduces destinations, which represent the address of a write-once memory cell. These destinations can be passed as function parameters, allowing the caller to control memory management: the callee…

Programming Languages · Computer Science 2026-01-14 Thomas Bagrel

The great majority of engineered products are subject to thermo-mechanical loads which vary with the product environment during the various phases of its life-cycle (machining, assembly, intended service use...). Those load variations may…

Classical Physics · Physics 2009-05-07 Guillaume Mandil , Alain Desrochers , Alain Rivière

The Euler calculus -- an integral calculus based on Euler characteristic as a valuation on constructible functions -- is shown to be an incisive tool for answering questions about injectivity and invertibility of recent transforms based on…

Algebraic Topology · Mathematics 2018-06-15 Robert Ghrist , Rachel Levanger , Huy Mai

Based on works of Saharon Shelah, Jakob Kellner, and Anda T\u{a}nasie for controlling the cardinal characteristics of the continuum in ccc forcing extensions, in the author's master's thesis was introduced a new combinatorial notion: the…

Logic · Mathematics 2024-02-09 Andrés F. Uribe-Zapata

Shape types are a general concept of process types which work for many process calculi. We extend the previously published Poly* system of shape types to support name restriction. We evaluate the expressiveness of the extended system by…

Logic in Computer Science · Computer Science 2010-04-01 Jan Jakubuv , J. B. Wells

We study positive operator-valued measures generated by orbits of projective unitary representations of locally compact Abelian groups. It is shown that integration over such a measure defines a family of contractions being multiples of…

Quantum Physics · Physics 2023-05-24 Grigori Amosov

The class of Basic Feasible Functionals BFF is the second-order counterpart of the class of first-order functions computable in polynomial time. We present several implicit characterizations of BFF based on a typed programming language of…

Logic in Computer Science · Computer Science 2025-01-29 Emmanuel Hainry , Bruce M. Kapron , Jean-Yves Marion , Romain Péchoux

The Operator axioms have produced new real numbers with new operators. New operators naturally produce new equations and thus extend the traditional mathematical models which are selected to describe various scientific rules. So new…

Numerical Analysis · Computer Science 2021-02-08 Pith Peishu Xie

We investigate some modal operators of necessity and possibility in the context of meet-complemented (not necessarily distributive) lattices. We proceed in stages. We compare our operators with others.

Logic · Mathematics 2016-03-09 José Luis Castiglioni , Rodolfo C. Ertola-Biraben

We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion…

Complex Variables · Mathematics 2018-09-05 Om P. Ahuja , Asena Çetinkaya , V. Ravichandran

Probabilistic applicative bisimulation is a recently introduced coinductive methodology for program equivalence in a probabilistic, higher-order, setting. In this paper, the technique is applied to a typed, call-by-value, lambda-calculus.…

Logic in Computer Science · Computer Science 2014-01-30 Raphaelle Crubille , Ugo Dal Lago

We introduce the calculus of Classical Transitions (CT), which extends the research line on the relationship between linear logic and processes to labelled transitions. The key twist from previous work is registering parallelism in typing…

Logic in Computer Science · Computer Science 2018-03-06 Fabrizio Montesi , Marco Peressotti

Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this…

Data Analysis, Statistics and Probability · Physics 2018-03-22 John Harlim

We describe a particular control method for a system controlled by several actuators with the same control constants. We show under certain assumptions that the control constants for the whole system can be obtained immediately from the…

Optimization and Control · Mathematics 2022-05-26 Stephen Montgomery-Smith

Intersection and union types denote conjunctions and disjunctions of properties. Using bidirectional typechecking, intersection types are relatively straightforward, but union types present challenges. For union types, we can case-analyze a…

Programming Languages · Computer Science 2021-03-24 Jana Dunfield

We present a refinement of the Calculus of Inductive Constructions in which one can easily define a notion of relational parametricity. It provides a new way to automate proofs in an interactive theorem prover like Coq.

Logic in Computer Science · Computer Science 2012-11-28 Chantal Keller , Marc Lasson