RESOLVING INFINITARY PARADOXES
Copyright policy )RESOLVING INFINITARY PARADOXES
AbstractGraph normal form, GNF, [1], was used in [2, 3] for analyzing paradoxes in propositional discourses, with the semantics—equivalent to the classical one—defined by kernels of digraphs. The paper presents infinitary, resolution-based reasoning with GNF theories, which is refutationally complete for the classical semantics. Used for direct (not refutational) deduction it is not explosive and allows to identify in an inconsistent discourse, a maximal consistent subdiscourse with its classical consequences. Semikernels, generalizing kernels, provide the semantic interpretation.
- University of Bergen Norway
infinitary logic, Other infinitary logic, paradox, Paraconsistent logics, Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics), substructural logic, diagraph kernel, resolution
infinitary logic, Other infinitary logic, paradox, Paraconsistent logics, Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics), substructural logic, diagraph kernel, resolution
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