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To be a better programmer, write little proofs in your head

10 months ago
  • #programming
  • #proofs
  • #code-quality
  • Develop the habit of mentally proving your code's correctness as you write it to improve accuracy and speed.
  • Look for monotonicity in code to simplify reasoning about processes that only move in one direction.
  • Use pre- and post-conditions to define and verify the behavior of functions, aiding in unit test creation.
  • Maintain invariants in your code to ensure certain conditions always hold true, regardless of execution path.
  • Isolate changes to minimize their impact, using structural 'firewalls' to prevent unintended side effects.
  • Apply inductive reasoning to prove the correctness of recursive functions and data structures.
  • Design code with 'proof-affinity' in mind, making it easier to reason about and verify correctness.
  • Practice writing mathematical proofs to sharpen logical thinking skills applicable to programming.
  • Use resources like algorithms classes and coding platforms to practice and improve proof-based reasoning.