Titlebook: Arnon Avron on Semantics and Proof Theory of Non-Classical Logics; Ofer Arieli,Anna Zamansky Book 2021 The Editor(s) (if applicable) and T

舊石器

入伍儀式

Consequence Relations with Real Truth Values,ion ., an appropriate fault-tolerance property of any logic of .-valued observables. The directional derivability of the functions coded by all . and by . then provides a quantitative formulation of our refinement of Bolzano-Tarski consequence, which turns out to coincide with the time-honored syntactic ?-consequence.

緯度

Elena Fleac?,Bogdan Fleac?,Sanda Maiducary connective ., (. a wff) together with some other axioms for some additional connectives, how can we tell whether . is indeed a form of negation of .? Are there some axioms which the connective “.” must satisfy in order to qualify . as a negation?

膽汁

Hippocampus

Credal Calculi, Evidence, and Consistency,possibility and necessity functions over the Logics of Formal Inconsistency are obtained and it is shown, by revisiting a paradigmatic example, how paraconsistent possibility and necessity reasoning can, in general, attain realistic models for artificial judgement. We will call such models ., emphasizing some of their appealing consequences.

FISC

,Degree-Preserving G?del Logics with an Involution: Intermediate Logics and (Ideal) Paraconsistency,onsistency, and we fully characterize the ideal and the saturated paraconsistent logics between . and CPL. We also identify a large family of saturated paraconsistent logics in the family of intermediate logics for degree-preserving finite-valued ?ukasiewicz logics.

achlorhydria

單調(diào)女

Geometric Rules in Infinitary Logic,finitary generalizations as extensions of sequent calculi for both classical and intuitionistic infinitary logic. As an application, a simple proof of the infinitary Barr’s theorem without the axioms of choice is shown.

DAUNT

巧思

Elena Fleac?,Bogdan Fleac?,Sanda Maiduconsistency, and we fully characterize the ideal and the saturated paraconsistent logics between . and CPL. We also identify a large family of saturated paraconsistent logics in the family of intermediate logics for degree-preserving finite-valued ?ukasiewicz logics.