Computable Functions

Computable functions are mathematical functions that can be precisely calculated or resolved using a systematic method or algorithm. In the context of model theory, which studies how mathematical structures can represent abstract concepts, computable functions are important because they help us understand which functions can be computed within these structures. Essentially, if a function is computable, there exists a clear step-by-step procedure to determine its output for any input, allowing us to analyze the limitations and capabilities of various mathematical models in a rigorous way.