
Chapter 1
... The immediate components of a formula are those formulas, if any, from which it is directly constructed. Thus the immediate components of (A∨ ∨ B) are A and B, and the sole immediate component of ¬A is A. p4 has no immediate components because it is not constructed out of anything, but is rather a p ...
... The immediate components of a formula are those formulas, if any, from which it is directly constructed. Thus the immediate components of (A∨ ∨ B) are A and B, and the sole immediate component of ¬A is A. p4 has no immediate components because it is not constructed out of anything, but is rather a p ...
Randy, Sue and Tom are siblings
... Contrapositives, converses, and inverses Definition Consider the implication p q 1. The converse of the implication is 2. The inverse of the implication is 3. The contrapositive of the implication is Proposition 3 1. An implication and its contrapositive are logically equivalent 2. The converse a ...
... Contrapositives, converses, and inverses Definition Consider the implication p q 1. The converse of the implication is 2. The inverse of the implication is 3. The contrapositive of the implication is Proposition 3 1. An implication and its contrapositive are logically equivalent 2. The converse a ...
Fraïssé`s conjecture in Pi^1_1-comprehension
... proof of FRA is the minimal bad array lemma, which is actually used all throughout betterquasi-ordering theory, and Marcone [Mar96] had proved that the minimal bad array lemma implies Π11 -CA0 . Instead, our new proof uses the work of the author from [Mon06] connecting FRA and the well-quasi-orderne ...
... proof of FRA is the minimal bad array lemma, which is actually used all throughout betterquasi-ordering theory, and Marcone [Mar96] had proved that the minimal bad array lemma implies Π11 -CA0 . Instead, our new proof uses the work of the author from [Mon06] connecting FRA and the well-quasi-orderne ...