Lax Lean Archive

Draft — mutable and not usable as a dependency; its citation marks the draft state.

Lax307052.PolynomialSpace

PSPACE equals NPSPACE

concepts/Lax307052/PolynomialSpace.lean · lax-307052

proven

Loading review…

Community review

Flags

Each flag is tied to a public ORCID identity and explains why this concept may be incorrect.

No flags have been submitted.

    Community review

    Flag this concept

    State precisely what appears incorrect. This explanation will be public under your ORCID name.

    No source line selected.

    Concept map

    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A

    Evidence

    Each proof establishes this claim relative to its assumptions.

    Theorem

    Deterministic and nondeterministic polynomial space define the same class of binary languages.

    Lean source view on GitHub

    1import Lax307052.Savitch
    2import Lax307052.PolyBounds
    3import Lax434930.PolynomialSpace
    4import Lax434930.NondeterministicPolynomialSpace
    5
    6/-!
    7---
    8title: PSPACE equals NPSPACE
    9type: theorem
    10---
    11Deterministic and nondeterministic polynomial space define the same class
    12of binary languages.
    13-/
    14
    15namespace Lax307052.PolynomialSpace
    16
    17open Lax434930.PolynomialSpace Lax434930.NondeterministicPolynomialSpace
    18
    19axiom pspace_eq_npspace : PSPACE = NPSPACE
    20
    21end Lax307052.PolynomialSpace
    22
    Show Proof

    Builds on

    Used by

    none

    From Mathlib

    none

    Community review

    Discussion

    Ask a question or add context. Endorsements and structured flags are kept in the review panel above; your ORCID profile must share a public name.

    0 comments

    Loading discussion…