activity
20142023
most citedHorn Fragments of the Halpern-Shoham Interval Temporal Logic (Technical Report)

27 citations · 47 across the 5 of their papers we have counts for

collaborators

6 papers

math.LO2023

A non-uniform view of Craig interpolation in modal logics with linear frames

Agi Kurucz, Frank Wolter, Michael Zakharyaschev

Normal modal logics extending the logic K4.3 of linear transitive frames are known to lack the Craig interpolation property, except some logics of bounded depth such as S5. We turn…

cs.LO2021

Deciding FO-definability of regular languages

Agi Kurucz, Vladislav Ryzhikov, Yury Savateev +1

We prove that, similarly to known PSpace-completeness of recognising FO(<)-definability of the language L(A) of a DFA A, deciding both FO(<,C)- and FO(<,MOD)-definability are PSpac…

cs.LO2017★ 9 cited

Kripke Completeness of Strictly Positive Modal Logics over Meet-semilattices with Operators

Stanislav Kikot, Agi Kurucz, Yoshihito Tanaka +2

Our concern is the completeness problem for spi-logics, that is, sets of implications between strictly positive formulas built from propositional variables, conjunction and modal d…

cs.LO2016★ 27 cited

Horn Fragments of the Halpern-Shoham Interval Temporal Logic (Technical Report)

Davide Bresolin, Agi Kurucz, Emilio Muñoz-Velasco +3

We investigate the satisfiability problem for Horn fragments of the Halpern-Shoham interval temporal logic depending on the type (box or diamond) of the interval modal operators, t…

cs.LO2015★ 7 cited

The decision problem of modal product logics with a diagonal, and faulty counter machines

Christopher Hampson, Stanislav Kikot, Agi Kurucz

In the propositional modal (and algebraic) treatment of two-variable first-order logic equality is modelled by a `diagonal' constant, interpreted in square products of universal fr…

cs.LO2014★ 4 cited

Undecidable propositional bimodal logics and one-variable first-order linear temporal logics with counting

Christopher Hampson, Agi Kurucz

First-order temporal logics are notorious for their bad computational behaviour. It is known that even the two-variable monadic fragment is highly undecidable over various linear t…