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From the 1 of 6 linked papers with an AI index.

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20242026
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6 papers

math.OC2026

Quantitative asymptotic regularity and -asymptotic regularity for the inexact generalized Halpern iteration

Nicoleta Dumitru, Laurentiu Leustean

The paper uses proof‑mining techniques to derive explicit quantitative bounds on the asymptotic and T‑asymptotic regularity of an inexact generalized Halpern iteration, a viscosity…

math.OC2025

Quantitative results on a generalized viscosity approximation method

Paulo Firmino, Laurentiu Leustean

In this paper, we study, in a nonlinear setting, the asymptotic behaviour of a generalized viscosity approximation method associated with a countable family of nonexpansive mapping…

cs.LO2025

Matching logic -- a new axiomatization

Laurenţiu Leuştean, Dafina Trufaş

In these notes we propose a new, simpler proof system for first-order matching logic with application and definedness. The new proof system is inspired by Tarski's axiomatization f…

cs.LO2025

Notes on applicative matching logic

Laurenţiu Leuştean

Matching logic (ML) was developed by Grigore Roşu and collaborators as a logic for defining the formal semantics of programming languages and for specifying and reasoning about th…

math.OC2025

Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration

Paulo Firmino, Laurentiu Leustean

In this paper we use proof mining methods to compute rates of (-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration associated to a nonexpansive mapping…

cs.LO2024

Proceedings Eighth Symposium on Working Formal Methods

Mircea Marin, Laurenţiu Leuştean

The Working Formal Methods Symposium (FROM) is a series of workshops that aim to bring together researchers and practitioners who work on formal methods by contributing new theoret…