  In this paper we apply computer-aided theorem discovery technique to discover
theorems about strongly equivalent logic programs under the answer set
semantics. Our discovered theorems capture new classes of strongly equivalent
logic programs that can lead to new program simplification rules that preserve
strong equivalence. Specifically, with the help of computers, we discovered
exact conditions that capture the strong equivalence between a rule and the
empty set, between two rules, between two rules and one of the two rules,
between two rules and another rule, and between three rules and two of the
three rules.
