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arXiv · 2208.03089

Tree-Like Justification Systems are Consistent

Simon Marynissen·Bart Bogaerts
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Abstract

Justification theory is an abstract unifying formalism that captures semantics of various non-monotonic logics. One intriguing problem that has received significant attention is the consistency problem: under which conditions are justifications for a fact and justifications for its negation suitably related. Two variants of justification theory exist: one in which justifications are trees and one in which they are graphs. In this work we resolve the consistency problem once and for all for the tree-like setting by showing that all reasonable tree-like justification systems are consistent.

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Simon Marynissen, Bart Bogaerts. 2022-08-05. Tree-Like Justification Systems are Consistent. https://doi.org/10.4204/eptcs.364.1

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