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Step 3: Comparing tables

  • Finally, in order to make the determination of logical entailment, we compare the two rightmost tables and notice that every row remaining in the premise table also remains in the conclusion table.

    • In other words, the premises logically entail the conclusion.

  • The truth table method has the merit that it is easy to understand

    • It is a direct implementation of the definition of logical entailment.

  • In practice, it is awkward to manage two tables, especially since there are simpler approaches in which only one table needs to be manipulated

    • Validity Checking

    • Unsatisfability Checking

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