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Arbitrary multi-truth-value functions and Natural Deduction
Cecilia Englander
PUC-RJ

Data:25 de Maio de 2012,  às 16:00
Local: UFRN, Setor II, sala I5


Abstract

Segerberg presented a general completeness proof for propositional
logics.  For this purpose, a deductive system was defined in a way
that its rules were rules for an arbitrary k-place Boolean operator in
a given propositional logic. Each of those rules corresponds to a row
on the operator’s truth-table. This article extends Segerberg’s idea
to
finite-valued propositional logic. We maintain the idea of defining a
deductive system whose rules correspond to rows of truth-tables, but
instead of having n types of rules (one for each truth-value), we use a
bivalent representation that use the help of separating formulas as
defined by Carlos Caleiro and João Marcos.
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