mirror of
https://github.com/arranstewart/magic.git
synced 2024-11-30 16:05:55 -05:00
20 lines
608 B
Text
20 lines
608 B
Text
|
B Axioms 1 - 8 as for FD.
|
||
|
|
9. ((A -> B) & (A -> C)) -> (A -> (B & C))
|
||
|
|
10. ((A -> C) & (B -> C)) -> ((A v B) -> C)
|
||
|
|
|
||
|
|
Rules 1 - 2, 8 - 12 as for FD.
|
||
|
|
Rules 6 and 7 replaced by the above axioms.
|
||
|
|
Rules 3 - 5 replaced by:
|
||
|
|
|
||
|
|
4'. A -> B ==> (C -> A) -> (C -> B)
|
||
|
|
5'. A -> B ==> (B -> C) -> (A -> C)
|
||
|
|
|
||
|
|
DW is B with rule 8 replaced by the axiom form:
|
||
|
|
|
||
|
|
Axiom 11. (A -> ~B) -> (B -> ~A)
|
||
|
|
|
||
|
|
TW is DW with rules 4' and 5' replaced by the axiom forms:
|
||
|
|
|
||
|
|
Axiom 12. (A -> B) -> ((C -> A) -> (C -> B))
|
||
|
|
13. (A -> B) -> ((B -> C) -> (A -> C))
|