methodical-programming

Deriving a correct program from formal specifications involves defining preconditions and postconditions first, then systematically constructing the implementation logic to rigorously satisfy those mathematical constraints. This approach guarantees correctness by design rather than relying on ad-hoc coding or after-the-fact testing.

Specification-driven development is a rigorous programming approach where you derive code from formal mathematical specs rather than writing it ad-hoc. You should use it for algorithm design, data-structure operations, and any correctness-critical code where formal precondition and postcondition reasoning is required to prevent failures.

Deriving loop invariants requires formulating logical conditions that hold before, during, and after each loop iteration to bridge the precondition and postcondition. This skill facilitates loop invariant derivation, enabling rigorous development and mathematical verification that iterative code satisfies the original formal specification.

Yes, you can use formal specification derivation with Python, Java, Haskell, and other languages because the approach is entirely language-agnostic. The skill focuses on precondition and postcondition reasoning, making it applicable across any programming paradigm where correctness-critical code is required.

Verifying recursive functions using algebraic data types requires applying structural induction to prove that your recursive logic satisfies the postcondition. This skill performs induction over algebraic data types, ensuring your recursive algorithm design is mathematically grounded and functionally correct across all input structures.