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))