Nonmonotonic reasoning reasoning in default logic
4 important questions on Nonmonotonic reasoning reasoning in default logic
Normal default theories are semi-monotonic
The addition of default rules never elimatese but extends or adds new extensions
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Let T1 = (W, D1) and T2 = (W,D2) be default theories such that D1 is contained within D2. Then for every extension e1 of T1 there is an extensiosn e2 o T2 such that e1 is contained within e2.
Why do we need theorem proving
Resolvent of (C1, D1) and (C2,D2)
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Top-down default proof
A closed formula F with respect to a closed normal default theory T = (W,D) is a sequence of linear resolution proofs L0, ... Lk such that
- L0 is a linear resolution proof of F from clauses(T)
- for 0 =< i =< k, Li returns Di
- for 1 =< i =< k, Li is a linear resolution proof of pre(Di-1) from clauses(T)
- Dk = empty set
- W union U {cons(D_i) is satisfiable
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