Unification in modal and description logics

F Baader, S Ghilardi - Logic Journal of IGPL, 2011 - academic.oup.com
Unification was originally introduced in automated deduction and term rewriting, but has
recently also found applications in other fields. In this article, we give a survey of the results …

Unification in linear temporal logic LTL

S Babenyshev, V Rybakov - Annals of Pure and Applied Logic, 2011 - Elsevier
We prove that a propositional Linear Temporal Logic with Until and Next (LTL) has unitary
unification. Moreover, for every unifiable in LTL formula A there is a most general projective …

Remarks about the unification type of several non-symmetric non-transitive modal logics

P Balbiani - Logic Journal of the IGPL, 2019 - academic.oup.com
The problem of unification in a normal modal logic can be defined as follows: given a
formula, determine whether there exists a substitution such that is in. In this paper, we prove …

KD is nullary

P Balbiani, Ç Gencer - Journal of Applied Non-Classical Logics, 2017 - Taylor & Francis
Full article: KD is nullary Skip to Main Content Taylor and Francis Online homepage Taylor and
Francis Online homepage Log in | Register Cart 1.Home 2.All Journals 3.Journal of Applied …

Admissibility in finitely generated quasivarieties

G Metcalfe, C Röthlisberger - Logical Methods in Computer …, 2013 - lmcs.episciences.org
Checking the admissibility of quasiequations in a finitely generated (ie, generated by a finite
set of finite algebras) quasivariety Q amounts to checking validity in a suitable finite free …

Unification in epistemic logics

P Balbiani, Ç Gencer - Journal of Applied Non-Classical Logics, 2017 - Taylor & Francis
Full article: Unification in epistemic logics Skip to Main Content Taylor and Francis Online
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Temporal logic with overlap temporal relations generated by time states themselves

VV Rybakov - Сибирские электронные математические известия, 2020 - mathnet.ru
We study a temporal logic with non–standard temporal accessibility relations. This logic is
generated by semantic underground models, and any such a model has a base formed by a …

Unifiers in transitive modal logics for formulas with coefficients (meta-variables)

V Rybakov - Logic Journal of IGPL, 2013 - academic.oup.com
In this article we study and solve some open problem of unification for formulas with
coefficients (meta-variables) in transitive modal logics. The role of coefficients is played by …

About the unification types of the modal logics determined by classes of deterministic frames

P Balbiani, Ç Gencer, M Rostamigiv… - arXiv preprint arXiv …, 2020 - arxiv.org
The unification problem in a propositional logic is to determine, given a formula F, whether
there exists a substitution s such that s (F) is in that logic. In that case, s is a unifier of F …

Admissible rules: from characterizations to applications

G Metcalfe - Logic, Language, Information and Computation: 19th …, 2012 - Springer
The admissible rules of a logic (understood as a structural consequence relation) may be
described as rules that can be added to the logic without producing any new theorems, or …