1. Premises: (a) If a processor overheats while multiplying, then it overheats while computing square roots; and (b) The xMax processor does not overheat while computing square roots. Conclusion:...

1. Premises: (a) If a processor overheats while multiplying, then it overheats while computing square roots; and (b) The xMax processor does not overheat while computing square roots. Conclusion: Therefore, the xMax processor does not overheat while multiplying.

2. Premises: (a) Every data structure is either slow at insertions or lookups; and (b) The data structure called the Hackmatack tree is slow at insertions. Conclusion: Therefore, the Hackmatack tree is slow at lookups.