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20212026
most citedNon-distributive description logic

1 citations · 2 across the 11 of their papers we have counts for

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11 papers

math.LO2026

Refutation calculi for lattice-based logics: from display to tableaux

Andrea De Domenico, Giuseppe Greco, Alessandra Palmigiano +2

Refutation calculi are formal systems developed to derive the invalid formulas of a given logic. While the notion of refutation calculi has played a key role in the development of…

math.LO2026

Inception Display Calculi

Andrea De Domenico, Giuseppe Greco, Alessandra Palmigiano

Display calculi were introduced by Nuel Belnap in `Display logic' (1982) as a natural extension of Gentzen's sequent calculi, as a uniform and modular framework capable of encompas…

math.LO2026

Modular constructive Lyndon interpolation for nondistributive logics

Andrea De Domenico, Giuseppe Greco, Alessandra Palmigiano +1

We establish the Lyndon interpolation property for basic lattice expansion logics (LE-logics) in arbitrary signatures using display calculi. Our approach is constructive, yielding…

math.LO2024

Obligations and permissions, algebraically

Andrea De Domenico, Ali Farjami, Krishna Manoorkar +3

We further develop the algebraic approach to input/output logic initiated in \cite{wollic22}, where subordination algebras and a family of their generalizations were proposed as a…

math.LO2024

Obligations and permissions on selfextensional logics

Andrea De Domenico, Ali Farjami, Krishna Manoorkar +3

We further develop the abstract algebraic logic approach to input/output logic initiated in \cite{wollic22}, where the family of selfextensional logics was proposed as a general ba…

math.LO2024

Labelled calculi for the logics of rough concepts

Ineke van der Berg, Andrea De Domenico, Giuseppe Greco +3

We introduce sound and complete labelled sequent calculi for the basic normal non-distributive modal logic L and some of its axiomatic extensions, where the labels are atomic formu…

math.LO2024

Labelled calculi for lattice-based modal logics

Ineke van der Berg, Andrea De Domenico, Giuseppe Greco +3

We introduce labelled sequent calculi for the basic normal non-distributive modal logic L and 31 of its axiomatic extensions, where the labels are atomic formulas of a first order…

math.LO2023★ 1 cited

Non-distributive description logic

Ineke van der Berg, Andrea De Domenico, Giuseppe Greco +3

We define LE-ALC, a generalization of the description logic ALC based on the propositional logic of general (i.e. not necessarily distributive) lattices, and semantically interpret…

math.LO2022★ 1 cited

Algorithmic correspondence and analytic rules

Andrea De Domenico, Giuseppe Greco, Alessandra Palmigiano

We introduce the algorithm MASSA which takes classical modal formulas in input, and, when successful, effectively generates: (a) (analytic) geometric rules of the labelled calculus…

cs.LO2022

Modal reduction principles across relational semantics

Willem Conradie, Andrea De Domenico, Krishna Manoorkar +4

The present paper establishes systematic connections among the first-order correspondents of Sahlqvist modal reduction principles in various relational semantic settings which incl…

cs.LO2021

Complexity assessments for decidable fragments of Set Theory. IV: A quadratic reduction of constraints over nested sets to Boolean formulae

Domenico Cantone, Andrea De Domenico, Pietro Maugeri +1

As a contribution to quantitative set-theoretic inferencing, a translation is proposed of conjunctions of literals of the forms , , and $z =\{x…