Defeasible logic

Defeasible logic is a non-monotonic logic proposed by Donald Nute to formalize defeasible reasoning. In defeasible logic, there are three different types of propositions:

strict rules

specify that a fact is always a consequence of another;

defeasible rules

specify that a fact is typically a consequence of another;

undercutting defeaters

specify exceptions to defeasible rules.

A priority ordering over the defeasible rules and the defeaters can be given. During the process of deduction, the strict rules are always applied, while a defeasible rule can be applied only if no defeater of a higher priority specifies that it should not.

See also

• Common sense
• Default logic

References

• D. Nute (1994). Defeasible logic. In Handbook of logic in artificial intelligence and logic programming, volume 3: Nonmonotonic reasoning and uncertain reasoning, pages 353–395. Oxford University Press.
• G. Antoniou, D. Billington, G. Governatori, and M. Maher (2001). Representation results for defeasible logic. ACM Transactions on Computational Logic, 2(2):255–287.