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We present a logic to model the behaviour of an agent trusting or not trusting messages sent by another agent. The logic formalises trust as a consistency checking function with respect to currently available information. Negative trust is modelled in two forms: distrust, as the rejection of...
Fix and let denote the class of cylindric algebras of dimension n. Roughly, is the algebraic counterpart of the proof theory of first-order logic restricted to the first n variables which we denote by . The variety of representable s reflects algebraically the semantics of . A variety of...
Abstract This paper presents a sound and complete five-sided sequent calculus for first-order weak Kleene valuations which permits not only elegant representations of four logics definable on first-order weak Kleene valuations, but also admissibility of five cut rules by proof analysis.
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