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cs.LO2024
The interpolant existence problem for weak K4 and difference logic
Agi Kurucz, Frank Wolter, Michael Zakharyaschev
As well known, weak K4 and the difference logic DL do not enjoy the Craig interpolation property. Our concern here is the problem of deciding whether any given implication does hav…
cs.LO2023
Deciding the Existence of Interpolants and Definitions in First-Order Modal Logic
Agi Kurucz, Frank Wolter, Michael Zakharyaschev
None of the first-order modal logics between and under the constant domain semantics enjoys Craig interpolation or projective Beth definability, even in…
cs.LO2019
Non-finitely axiomatisable modal product logics with infinite canonical axiomatisations
Christopher Hampson, Stanislav Kikot, Agi Kurucz +1
Our concern is the axiomatisation problem for modal and algebraic logics that correspond to various fragments of two-variable first-order logic with counting quantifiers. In partic…