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From the 1 of 5 linked papers with an AI index.

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5 papers

math.LO2026

Hyper Swap Structures: The Case Study of LFIs and Hyper Boolean Algebras

Marcelo E. Coniglio, Kaique M. A. Roberto, Ana C. Golzio

The paper defines hyper Boolean algebras using Morgado hyperlattices, shows they provide semantics for several Logics of Formal Inconsistency via hyper swap structures, and constru…

math.LO2026

On Many-logic modal structures and information-based logics

Manuel Martins, Abílio Rodrigues, Marcelo Coniglio +1

This paper proposes an approach to information-based logics using many-logic modal structures (MLMS). These structures can express accessibility relations between worlds with diffe…

cs.LO2026

A taxonomy for controlling (in)consistency

Marcelo E. Coniglio, Rafael Ongaratto

In this article, the hierarchy of LFIs L, Logics of Controlled Consistency (LCC), is introduced. Inspired by da Costa's original C systems, this hierarchy can represent d…

math.LO2026

Positive, Negative, and Reliable Information in a First-Order Logic of Evidence and Truth

Abilio Rodrigues, Marcelo E. Coniglio

In this paper we present the first-order logic QLETF+, a quantified version of the logic LETF+, introduced in Coniglio and Rodrigues (Studia Logica 112:561-606, 2024). QLETF+ exhib…

cs.LO2025

The Modal Cube Revisited: Semantics without Worlds (Technical Report)

Renato Leme, Carlos Olarte, Elaine Pimentel +1

We present a non-deterministic semantic framework for all modal logics in the modal cube, extending prior works by Kearns and others. Our approach introduces modular and uniform mu…