Revistes Catalanes amb Accés Obert (RACO)

A reduction-based theorem prover for 3-valued logic

Gabriel Aguilera Venegas, Inmaculada Pérez de Guzmán Molina, Manuel Ojeda Aciego

Resum


We present a new prover for propositional 3-valued logics, TAS-M3, which is an
extension of the TAS-D prover for classical propositional logic. TAS-M3 uses the
TAS methodology and, consequently, it is a {\em reduction-based\/} method.
Thus, its power is based on the reductions of the size of the formula executed by the
$\efe$ transformation.
This transformation dynamically filters the information contained in the syntactic structure of the formula to avoid as much distributions (of $\land$ wrt $\lor$ in our
case) as possible, in order to improve efficiency. In our opinion, this filtering is the key of the TAS methodology
which, as shown in this paper, allows the method to be extremely adaptable, because switching to different kinds of logic is possible without having to redesign the whole
prover.

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