Diophantine Sets Over Polynomial Rings
Diophantine Sets Over Polynomial Rings
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E. X e TT, Definition . A predicate y ( u, v ) is called a Julia Robinson predicate if ; (1) /(u, v) -^ V \/ [P(t^, ... , t, ^, u, v, x) = /^- f(u, v)] t-i J • . . ) t, ,U, V where P is a polynomial and f{u, v) is any Julia Robinson predicate. Suppose that j^(u, v) y ip T II V U IT ■i- ■)>♦•• J ^-^rt '-' > ^ > '^■^> * • » > ^^ [P(T^, ... , \, U, V, x) = /\ AQ(U, V, U^, ... , U^) = A T^ e P A, . . . , A T^^ e P U^ e P A, . . . , A U^ e P /\ U e P A, V e P], Lem^ia 3. 3. Let p(u, v) v = 2 A u ...> 3, Then P(u, v) is a Julia Robinson predicate and is Diophantine over J[t|].
Proof. By [i].
What to read after Diophantine Sets Over Polynomial Rings?
You can find similar books in the "Read Also" column, or choose other free books by Martin Davis to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
E. X e TT, Definition . A predicate y ( u, v ) is called a Julia Robinson predicate if ; (1) /(u, v) -^ V
Proof. By [i].
What to read after Diophantine Sets Over Polynomial Rings?
You can find similar books in the "Read Also" column, or choose other free books by Martin Davis to read onlineMoreLess
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