β reduction

Creator
Creator
Seonglae ChoSeonglae Cho
Created
Created
2025 Oct 7 23:12
Editor
Edited
Edited
2025 Oct 19 16:2
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Refs

The only operation in lambda calculus, which evaluates by substituting arguments into the function body

β reduction occurs through a single rule where λ[x, body][y] → body with x replaced by y. Through repeated application, complex patterns, growth, repetition, and infinite calculations emerge. Multiple β reduction paths can be analyzed as a multiway graph, and dependencies between events can be visualized as a causal graph to represent 'parallel computation' and causal structures.
 
 
 
 
 
 

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