By LdBeth
Apply programming language theory techniques for program verification, derivation, and optimization. Includes equational reasoning for functional program simplification and Hoare logic for imperative program verification.
Use equational reasoning to simplify, refactor, optimize, fuse, or derive code in ANY language — Common Lisp, C, TypeScript, Swift, Haskell, or others. Use this skill whenever the user asks to simplify a loop or a chain of maps/filters/reduces, merge multiple passes into a single pass, refactor recursion, clean up try-catch / do-catch / handler-case / Promise chains, separate pure logic from effectful code (async, state, I/O), verify that a refactor preserves behavior, or derive an efficient implementation from a clear but naive one. Trigger even when the user just says "can this be one loop?", "is this refactor safe?", or "simplify this reduce".
Use Hoare logic to verify, derive, and reason about imperative programs. Apply this skill when asked to prove correctness, find loop invariants, verify pre/postconditions, calculate weakest preconditions, or reason about imperative code with assignments, loops, and conditionals. Also use when the user mentions "Hoare triple", "wp", "program verification".
Based on adoption, maintenance, documentation, and repository signals. Not a security audit or endorsement.
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