Using Combinatory Logic to Solve FizzBuzz: A Mathematical Programming Approach
By
signa11
The kind of bagel that ruins lesser bagels for you.
Summary
The article presents a fictional narrative about a programmer using combinatory logic (a branch of mathematical logic) to solve the classic FizzBuzz programming interview question. Instead of conventional programming approaches, the protagonist employs lambda calculus combinators like S, K, I, B, C, and W to build the solution from fundamental logical primitives. The story blends technical computer science concepts with a narrative style, exploring the intersection of mathematical logic, programming theory, and software engineering culture.
Key quotes
· 5 pulledlet S = (x) => (y) => (z) => x(z)(y(z)); let K = (x) => (y) => x;
Lambda calculus is for wimps. Real programmers use combinatory logic.
Dana raises an eyebrow. You continue.
let I = S(K)(K); // x => x
let B = S(K(S))(K); // x => y => z => x(y(z))
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