Titlebook: Larisa Maksimova on Implication, Interpolation, and Definability; Sergei Odintsov Book 2018 Springer International Publishing AG 2018 Lari

背叛者

Lattice NExt, from the Embedding Theorem Viewpoint, of normal extensions of S4 and of intermediate logics. Grounding on the Gödel–McKinsey–Tarski embedding, for any S4-logic, we define the notion of .-decomposition and that of a modal component of the logic. Then, we investigate conditions, when a modal logic has its least modal component.

languid

Dummett Logic, Irreflexive Modality and Novikov Completeness,rpreted on every finite chain by the so called .. We show that the resulting logic is conservative over ., determines a . in . w.r.t. P. Novikov’s approach to the notion of a new logical connective. Moreover, we show that is an explicit example of . of ., i.e. every proper extension of it is not conservative over ..

mitten

异常

,Larisa Maksimova’s Early Contributions to Relevance Logic,ut to methodically study systems of relevance logics, initially, focusing on Ackermann’s . of “Rigorous Implication,” and then extending her work to Anderson and Belnap’s systems . of Entailment and . of Relevant Implication, and other related logics. Not only did she develop an algebraic semantics

miracle

GUILE

Characteristic Formulas Over Intermediate Logics,varieties of Heyting algebras containing infinite finitely presented subdirectly irreducible algebras. Moreover, we prove that there is a continuum of intermediate logics that can be axiomatized by characteristic formulas of countable algebras, while they are not axiomatizable by standard Yankov (Ja

严重伤害

,A Generalization of Maksimova’s Criterion for the Disjunction Property,ipal meets in which disjunction is introduced via principal intersection terms. We also give a necessary condition for semiconstructvity, and show how it can be applied to admissibility of multiple-conclusion rules expressing semiconstructivity.

CHOKE

,Rasiowa–Sikorski Sets and Forcing, (.). The central idea, due to Rasiowa and Sikorski and developed in this paper, is constructing first-order models from individual variables. The notion of a Rasiowa–Sikorski set of formulas of an arbitrary language . is introduced. Investigations are confined to countable languages. Each Rasiowa–S

唤醒

fodlder