lean-parsing-completeness

To prove parsing completeness in Lean 4, you demonstrate that spec-level success implies native parser success. This involves verifying position bounds, applying eliminator lemmas, and validating monadic parsing steps within Except or Option monads.

Parsing completeness in formal verification ensures that parsing functions correctly return success for all well-formed inputs. It confirms that any input conforming to a format specification will be parsed without error by the native implementation.

The best way to verify a complex data format parser is using theorem proving to generate completeness proofs. This verifies that any well-formed input conforming to your format specification will be parsed without error by your native implementation.

Yes, verifying parser correctness in Lean 4 requires familiarity with theorem proving and formal verification concepts. You need to understand eliminator lemmas, position bounds, and monadic parsing steps in Except and Option to use these structured proof patterns.

Your native Lean 4 parser might fail due to unproven position bounds or incorrect monadic steps in Except or Option. Applying formal verification and eliminator lemmas helps prove spec-level success implies native success for all well-formed inputs.

Yes, you can use formal verification for parsing functions returning Option or Except in Lean 4. The Skill provides structured proof patterns to validate monadic parsing steps and prove completeness theorems for these specific monadic contexts.