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
• Non-monotonic logic
• Default logic
• Defeasible reasoning

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.