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In this paper, we introduce the definition of free product of operads, following the definition of a free product of algebras. There is a given method of finding the basis and dimension of the free product of operads. By anti-commutative…

Rings and Algebras · Mathematics 2020-11-06 Bauyrzhan Sartayev

We study a theory of asynchronous session types ensuring that well-typed processes terminate under a suitable fairness assumption. Fair termination entails starvation freedom and orphan message freedom namely that all messages, including…

Programming Languages · Computer Science 2025-03-17 Luca Padovani , Gianluigi Zavattaro

An abstract convergence theorem for a class of generalized descent methods that explicitly models relative errors is proved. The convergence theorem generalizes and unifies several recent abstract convergence theorems. It is applicable to…

Optimization and Control · Mathematics 2017-11-22 Peter Ochs

Static analysis by abstract interpretation is generally designed to be "sound", that is, it should not claim to establish properties that do not hold-in other words, not provide "false negatives" about possible bugs. A rarer requirement is…

Programming Languages · Computer Science 2024-12-11 David Monniaux

Recently, Cochran and Harvey defined torsion-free derived series of groups and proved an injectivity theorem on the associated torsion-free quotients. We show that there is a universal construction which extends such an injectivity theorem…

Geometric Topology · Mathematics 2007-05-23 Jae Choon Cha

Structured recursion schemes such as folds and unfolds have been widely used for structuring both functional programs and program semantics. In this context, it has been customary to implement denotational semantics as folds over an…

Programming Languages · Computer Science 2023-03-17 Marco Paviotti , Nicolas Wu

We describe free differential algebras for non-abelian one and two form gauge potentials in four dimensions deriving the integrability conditions for the corresponding curvatures. We show that a realization of these algebras occurs in…

High Energy Physics - Theory · Physics 2010-04-05 Gianguido Dall'Agata , Riccardo D'Auria , Sergio Ferrara

Dependent Object Types (DOT) is intended to be a core calculus for modelling Scala. Its distinguishing feature is abstract type members, fields in objects that hold types rather than values. Proving soundness of DOT has been surprisingly…

Programming Languages · Computer Science 2017-06-14 Marianna Rapoport , Ifaz Kabir , Paul He , Ondřej Lhoták

Linearizability is a commonly accepted notion of correctness for libraries of concurrent algorithms. Unfortunately, it assumes a complete isolation between a library and its client, with interactions limited to passing values of a given…

Logic in Computer Science · Computer Science 2015-07-01 Alexey Gotsman , Hongseok Yang

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

We explore fairness from a statistical perspective by selectively utilizing either conditional distance covariance or distance covariance statistics as measures to assess the independence between predictions and sensitive attributes. We…

Machine Learning · Computer Science 2025-12-22 Ruifan Huang , Haixia Liu

Clarithmetics are number theories based on computability logic (see http://www.csc.villanova.edu/~japaridz/CL/ ). Formulas of these theories represent interactive computational problems, and their "truth" is understood as existence of an…

Logic in Computer Science · Computer Science 2023-06-22 Giorgi Japaridze

Modifications of the authors' previously-published, generalized, lumped-element, reflectionless filter topologies are presented which remove the original constraints on the relative values of its prototype parameters. Thus, any transfer…

Instrumentation and Methods for Astrophysics · Physics 2018-07-03 Matthew A. Morgan , Wavley M. Groves , Tod A. Boyd

Theorem provers are tools that help users to write machine readable proofs. Some of this tools are also interactive. The need of such softwares is increasing since they provide proofs that are more certified than the hand written ones. Agda…

Logic in Computer Science · Computer Science 2020-02-18 Luca Ciccone

We introduce the abstract notions of "monadic operational semantics", a small-step semantics where computational effects are modularly modeled by a monad, and "type-and-effect system", including "effect types" whose interpretation lifts…

Programming Languages · Computer Science 2025-04-15 Francesco Dagnino , Paola Giannini , Elena Zucca

This paper studies dynamic complexity under definable change operations in the DynFO framework by Patnaik and Immerman. It is shown that for changes definable by parameter-free first-order formulas, all (uniform) $AC^1$ queries can be…

Logic in Computer Science · Computer Science 2017-01-11 Thomas Schwentick , Nils Vortmeier , Thomas Zeume

Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Glenn Barnich , Geoffrey Compere

(CROPPED TO FIT IN ARXIV'S SILLY LIMIT. SEE PDF FOR COMPLETE ABSTRACT.) We are the first to thoroughly explore a large space of formal secure compilation criteria based on robust property preservation, i.e., the preservation of properties…

Programming Languages · Computer Science 2020-11-18 Carmine Abate , Roberto Blanco , Deepak Garg , Catalin Hritcu , Marco Patrignani , Jérémy Thibault

Recently, data abstraction has been studied in the context of separation logic, with noticeable practical successes: the developed logics have enabled clean proofs of tricky challenging programs, such as subject-observer patterns, and they…

Programming Languages · Computer Science 2015-07-01 Jacob Thamsborg , Lars Birkedal , Hongseok Yang

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