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Communicating sequential processes
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==== Unique fixed points ==== One of the most important principles in CSP is the Unique Fixed Points (UFP) rule. A version for single recursions in the traces model states that if <math>F : \mathcal T \rightarrow \mathcal T</math> is a function on trace sets generated by the guarded recursive{{clarify|date=April 2025}} process <math>X</math>, and <math>Y</math> is a process where <math>\mathrm{traces}(Y)</math> is a [[fixed point (mathematics)|fixed point]] of <math>F</math>, then <math>X</math> is equivalent to <math>Y</math> in the traces model.<ref name="ucs"/> UFP can also be extended to mutual recursions and other models of CSP.
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