perm filename SP.AX[S78,JMC] blob
sn#350898 filedate 1978-04-28 generic text, type C, neo UTF8
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C00002 00002 declare INDVAR w w0 w1 w2 ε worlds
C00003 ENDMK
C⊗;
declare INDVAR w w0 w1 w2 ε worlds;
declare INDCONST rw ε worlds;
axiom possible:
∀m n.(1<m ∧ m<100 ∧ 1<n ∧ n<100 ⊃ ∃w.(M(w) = m ∧ N(w) = n))
∀w1 w2.(AS0(w1,w2) ∧ AP0(w1,w2))
;;
axiom rw
M(rw) = m0
N(rw) = n0
;;
axiom step
∀w1 w2.((AP1(w1,w2) ≡ AP0(w1,w2) ∧ M(w1)*N(w1) = M(w2)*N(w2))
∧ (AS1(w1,w2) ≡ AS0(w1,w2) ∧ M(w1)+N(w1) = M(w2)+N(w2)))
;;