Logics of left variable inclusion and Płonka sums of matrices
The paper aims at studying, in full generality, logics defined by imposing a variable inclusion
condition on a given logic ⊢⊢. We prove that the description of the algebraic counterpart of …
condition on a given logic ⊢⊢. We prove that the description of the algebraic counterpart of …
Cube term blockers without finiteness
KA Kearnes, Á Szendrei - Algebra universalis, 2017 - Springer
We show that an idempotent variety has ad-dimensional cube term if and only if its free
algebra on two generators has no d-ary compatible cross. We employ Hall's Marriage …
algebra on two generators has no d-ary compatible cross. We employ Hall's Marriage …
Extensions of paraconsistent weak Kleene logic
F Paoli, M Pra Baldi - Logic Journal of the IGPL, 2021 - academic.oup.com
Paraconsistent weak Kleene () logic is the-valued logic based on the weak Kleene matrices
and with two designated values. In this paper, we investigate the poset of prevarieties of …
and with two designated values. In this paper, we investigate the poset of prevarieties of …
Counting finite linearly ordered involutive bisemilattices
The class of involutive bisemilattices plays the role of the algebraic counterpart of
paraconsistent weak Kleene logic. Involutive bisemilattices can be represented as Płonka …
paraconsistent weak Kleene logic. Involutive bisemilattices can be represented as Płonka …
An algebraic study of logics of variable inclusion and analytic containment
M Pra Baldi - 2018 - research.unipd.it
This thesis focuses on a wide family of logics whose common feature is to admit a syntactic
definition based on specific variable inclusion principles. This family has been divided into …
definition based on specific variable inclusion principles. This family has been divided into …
Semilattice sums of algebras and Mal'tsev products of varieties
C Bergman, T Penza, AB Romanowska - Algebra universalis, 2020 - Springer
The Mal'tsev product of two varieties of similar algebras is always a quasivariety. We
consider the question of when this quasivariety is a variety. The main result asserts that if VV …
consider the question of when this quasivariety is a variety. The main result asserts that if VV …
The Płonka product of topological spaces
S Bonzio, A Loi - Algebra universalis, 2019 - Springer
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[PDF][PDF] Counting finite involutive bisemilattices
The class of involutive bisemilattices plays the role of the algebraic counterpart among one
of the three-valued logics introduced by Kleene in [15], namely paraconsistent weak Kleene …
of the three-valued logics introduced by Kleene in [15], namely paraconsistent weak Kleene …
[PDF][PDF] Universal Algebraic Methods for Constraint Satisfaction Problems
After substantial progress over the last 15 years, the “algebraic CSP-dichotomy conjecture”
reduces to the following: every local constraint satisfaction problem (CSP) associated with a …
reduces to the following: every local constraint satisfaction problem (CSP) associated with a …