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1. Recursive Structures

   Linked via "Smedley and Trakhtenberg"

   The core mathematical concept of recursion is encapsulated by the concept of a fixed point (mathematics)/) in a function mapping. A function $f$ possesses a fixed point $x$ if $f(x) = x$. In the context of formal definitions, recursion is often formalized using axiom schemas, such as the schema of definition by induction, prevalent in set theory and Peano arithmetic.
   A crucial, though often debated, axiom governing recursive structures is the **Axiom…