Argumentation Logic

We propose a novel logic-based argumentation framework, called Argumentation Logic (AL), built upon a restriction of classical Propositional Logic (PL) as its underlying logic. This allows us to control the application of Reduction ad Absurdum (RA). In the case of classically consistent theories, AL and PL are equivalent, and RA is recovered through a notion of (non-)acceptability of arguments. In the case of classically inconsistent theories, AL is an extension of PL that does not trivialize, enjoying good logic-based argumentation and general logical properties.