Lesson plan

Implication table

An implication table is a tool used to facilitate the minimization of states in a state machine. The concept is to start assuming that every state may be able to combine with every other state, then eliminate combinations that are not possible. When all the impossible combinations have been eliminated, the remaining state combinations are valid, and thus can be combined. The procedure is as follows: # List state-combination possibilities in an implication table, # Eliminate combinations that are impossible because the states produce different outputs, # Eliminate combinations that are impossible because the combination depends on the equivalence of a previously eliminated possibility, # Repeat the above step until no more eliminations are possible.

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Article summary

An implication table is a tool used to facilitate the minimization of states in a state machine. The concept is to start assuming that every state may be able to combine with every other state, then eliminate combinations that are not possible. When all the impossible combinations have been eliminated, the remaining state combinations are valid, and thus can be combined. The procedure is as follows: # List state-combination possibilities in an implication table, # Eliminate combinations that are impossible because the states produce different outputs, # Eliminate combinations that are impossible because the combination depends on the equivalence of a previously eliminated possibility, # Repeat the above step until no more eliminations are possible.

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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