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Let D denote the domain of all people. Alex is an individual in D. You are given the following predicates.

  • D(x) : x is a doctor
  • M(x) : x has a medical license
  • K(xy) : x knows y
  • T(xy) : x trusts y

Translate each statement below into symbolic predicate logic.

  1. Every doctor has a medical license.
  2. Everybody knows a doctor whom they trust.
  3. Alex doesn't know anyone with a medical license.
  4. Nobody trusts all doctors.

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