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Recursion
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====Example: Proof procedure ==== Another interesting example is the set of all "provable" propositions in an [[axiomatic system]] that are defined in terms of a [[proof procedure]] which is inductively (or recursively) defined as follows: *If a proposition is an axiom, it is a provable proposition. *If a proposition can be derived from true reachable propositions by means of inference rules, it is a provable proposition. *The set of provable propositions is the smallest set of propositions satisfying these conditions.
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