feat(Classes): define the polynomial hierarchy - #18
Draft
BoltonBailey wants to merge 3 commits into
Draft
Conversation
Define certificate quantifiers over the pair codec (polyExistsLang / polyForallLang and their class operators), the levels SigmaP / PiP by the standard recursion through complement classes, and PH as their union. Prove quantifier and class-level complement duality, monotonicity, the recursion laws, and level inclusions, the latter conditional on the single machine-engineering seam `pairFst ∈ FP` (first-component pair decoding), isolated as a hypothesis following the WitnessNTMConstruction pattern. Ported from leanprover/cslib#192, re-proved against this library's machine model and Set-based languages. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
This is an in-progress PR to add the definition of the Polynomial Time hierarchy.
🤖 Generated with Claude Code