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Computation

Computation is the rule-governed manipulation or transformation of representations, formalized in the 1930s through foundational models such as Turing machines and Alonzo Church's lambda calculus.

Type: Concept Domain: Technology Mathematics Physics Philosophy Biology

Overview

The Church-Turing thesis posits that effectively calculable functions correspond to functions computable by a Turing machine, establishing formal boundaries for computability. Computational complexity theory categorizes problems by the resource bounds required to solve them, prominently investigated through the open P versus NP problem.

Why it matters

Formal models of computation inform complexity analysis and algorithm design across mathematics and computer science. The concept also serves as an analytic framework in biology, physics, and philosophy of mind to model rule-governed transformations in natural systems.

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