Discussion
What is the Tseitin transformation?
Answer: D
Naming each subformula with a new variable and asserting the equivalence gives a clause set linear in the original size, equisatisfiable though not equivalent. Every practical satisfiability tool uses it. Quantifier elimination, simplification and equivalence checking are different procedures. A transformation whose output is larger in variables but linear in clauses, and which preserves exactly the property being tested, is a good illustration of choosing the right notion of correctness.
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