Mathematical LogicFirst-order or predicate logic.Find a function f such that if a formula o has a deduction of size n from a set I, and if x does notoccur free in I, then Vxo has a deduction from I of size f(n). The slower your function grows, thebetter.Please be as clear as possible. Explain in detail your answer. Thank you very much.

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Answered: Find a function f such that if a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find a function f such that if a formula o has a deduction of size n from a set I, and if x does not occur free in I, then Vxp has a deduction from I of size f(n). The slower your function grows, the better.