Algebraisable versions of predicate topological logic

TS Ahmed - arXiv preprint arXiv:1401.1156, 2014 - arxiv.org
Motivated by questions like: which spatial structures may be characterized by means of
modal logic, what is the logic of space, how to encode in modal logic different geometric …

Algebraisable versions of predicate topological logic

T Sayed Ahmed - arXiv e-prints, 2014 - ui.adsabs.harvard.edu
Motivated by questions like: which spatial structures may be characterized by means of
modal logic, what is the logic of space, how to encode in modal logic different geometric …

Space and time via Topological and Tense cylindric algebras

TS Ahmed - arXiv preprint arXiv:2006.03421, 2020 - arxiv.org
Let $\alpha $ be an arbritary ordinal, and $2< n<\omega $. In\cite {3} accepted for
publication in Quaestiones Mathematicae, we studied using algebraic logic, interpolation …

Space and time via Topological and Tense cylindric algebras

T Sayed Ahmed - arXiv e-prints, 2020 - ui.adsabs.harvard.edu
Let $\alpha $ be an arbritary ordinal, and $2< n<\omega $. In\cite {3} accepted for
publication in Quaestiones Mathematicae, we studied using algebraic logic, interpolation …

Non-finitely axiomatisable two-dimensional modal logics

A Kurucz, S Marcelino - The Journal of Symbolic Logic, 2012 - cambridge.org
We show the first examples of recursively enumerable (even decidable) two-dimensional
products of finitely axiomatisable modal logics that are not finitely axiomatisable. In …

Recursive enumerability and elementary frame definability in predicate modal logic

M Rybakov, D Shkatov - Journal of Logic and Computation, 2020 - academic.oup.com
We investigate the relationship between recursive enumerability and elementary frame
definability in first-order predicate modal logic. On one hand, it is well known that every first …

Monadic Σしぐま11 and modal logic with quantified binary relations

L Hella, A Kuusisto - Electronic Notes in Theoretical Computer Science, 2010 - Elsevier
We investigate the expressive power of a range of modal logics extended with second-order
prenex quantification of binary and unary relations. Our principal result is that Σしぐま11 (BML=) …

The semantics of modal predicate logic I: Counterpart-frames

M Kracht, O Kutz - Advances In Modal Logic: Volume 3, 2002 - World Scientific
We introduce a new semantics for modal predicate logic, with respect to which a rich class of
first-order modal logics is complete, namely all normal first-order modal logics that are …

[PDF][PDF] Simplicial semantics and one-variable fragments of modal predicate logics

V Shehtman - Topology, Algebra, and Categories in Logic, 2019 - math.univ-cotedazur.fr
We consider normal 1-modal predicate logics in the signature with predicate letters of all
arities, but without equality, constants or functions letters. A logic is a set of formulas …

Two variable fragment of term modal logic

A Padmanabha, R Ramanujam - arXiv preprint arXiv:1904.10260, 2019 - arxiv.org
Term modal logics (TML) are modal logics with unboundedly many modalities, with
quantification over modal indices, so that we can have formulas of the form $\exists y.\forall …