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CS 486 Applied Logic Assignment #7
Spring 1997 Due Date: Thurs., 3/13/97
Please read Suppes, Axiomatic Set Theory, pages 1-20.
- Prove
from Peano's axioms in Refinement Logic assuming equality as a primitive. Hint: try induction on
.
- Define
.
Prove
in Refinement Logic with Arith rule.
- Write a functional program to compute a function
such that
. Try to make the function match your proof in 2.
- Use the monadic predicate calculus decision procedure to decide the validity of these formulas.
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