Algorithmic properties of first-order modal logics of finite Kripke frames in restricted languages

M Rybakov, D Shkatov - Journal of Logic and Computation, 2020 - academic.oup.com
We study the effect of restricting the number of individual variables, as well as the number
and arity of predicate letters, in languages of first-order predicate modal logics of finite …

Algorithmic properties of first-order superintuitionistic logics of finite Kripke frames in restricted languages

M Rybakov, D Shkatov - Journal of Logic and Computation, 2021 - academic.oup.com
We consider the effect of restricting the number of individual variables, as well as the
number and arity of predicate letters, in languages of first-order predicate superintuitionistic …

Algorithmic properties of first-order modal logics of linear Kripke frames in restricted languages

M Rybakov, D Shkatov - Journal of Logic and Computation, 2021 - academic.oup.com
We study the algorithmic properties of first-order monomodal logics of frames,,,,,, as well as
some related logics, in languages with restrictions on the number of individual variables as …

Predicate counterparts of modal logics of provability: High undecidability and Kripke incompleteness

M Rybakov - Logic Journal of the IGPL, 2024 - academic.oup.com
In this paper, the predicate counterparts, defined both axiomatically and semantically by
means of Kripke frames, of the modal propositional logics,, and their extensions are …

[PDF][PDF] Algorithmic Properties of First-Order Modal Logics of the Natural Number Line in Restricted Languages.

MN Rybakov, D Shkatov, N Olivetti, R Verbrugge… - AiML, 2020 - philarchive.org
We study algorithmic properties of first-order predicate monomodal logics of the frames (N,<)
and (N,≤) in languages with restrictions on the number of individual variables as well as the …

Complexity of finite-variable fragments of propositional temporal and modal logics of computation

M Rybakov, D Shkatov - Theoretical Computer Science, 2022 - Elsevier
We prove that branching-time temporal logics CTL and CT L⁎ are polynomial-time
embeddable into their single-variable fragments. It follows that satisfiability for CTL and CT …

[PDF][PDF] Undecidability of QLTL and QCTL with two variables and one monadic predicate letter

M Rybakov, D Shkatov - Logical Investigations, 2021 - pdfs.semanticscholar.org
We study the algorithmic properties of the quantified (first-order) temporal logics QLTL and
QCTL in languages with restrictions on the number of individual variables as well as the …

Undecidability of the logic of partial quasiary predicates

M Rybakov, D Shkatov - Logic Journal of the IGPL, 2022 - academic.oup.com
We obtain an effective embedding of the classical predicate logic into the logic of partial
quasiary predicates. The embedding has the property that an image of a non-theorem of the …

[PDF][PDF] Algorithmic properties of QK4. 3 and QS4. 3

M Rybakov, D Shkatov - arXiv preprint arXiv:2307.02800, 2023 - arxiv.org
arXiv:2307.02800v1 [math.LO] 6 Jul 2023 Algorithmic properties of QK4.3 and QS4.3 Page 1
arXiv:2307.02800v1 [math.LO] 6 Jul 2023 Algorithmic properties of QK4.3 and QS4.3 M …

[HTML][HTML] UNDECIDABILITY OF QLTL AND QCTL WITH TWO VARIABLES AND ONE MONADIC PREDICATE LETTER

R Mikhail, S Dmitry - Логические исследования, 2021 - cyberleninka.ru
We study the algorithmic properties of the quantified linear-time temporal logic QLTL in
languages with restrictions on the number of individual variables as well as the number and …