Lambda calculus represents data using only functions
Lambda calculus
Lambda calculus represents data using only functions
Lambda calculus is a formal system that uses function abstraction and application to represent data. It operates solely on functions, without the need for variables or data structures. This makes it a powerful tool for expressing computation in a concise and abstract manner.
Example
In lambda calculus, the expression (λx.x) represents a function that takes an argument x and returns it unchanged. This can be seen as a simple identity function.
Understanding lambda calculus is crucial for studying the foundations of computation and for exploring alternative models of computation.
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the Y combinator does: enables recursion in languages without named functions
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Rate-distortion theory: minimum bits to represent data within distortion D
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