Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Termination with abstract stuttering — definitions

Lax755887.Stuttering · concepts/Lax755887/Stuttering.lean · lax-755887

definition

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.

    Natural Language Statement

    Definition

    A concrete step may leave the abstract state unchanged. Abstract well-foundedness does not rule out infinitely many such steps.

    Concept map
    1 concept; 3 descendants hidden
    100%
    Proven claimOpen claimDefinitionThis conceptRelated conceptA → B: B builds on A

    Lean source view on GitHub

    1import Mathlib
    2
    3/-!
    4---
    5title: Termination with abstract stuttering — definitions
    6type: definition
    7---
    8A concrete step may leave the abstract state unchanged. Abstract well-foundedness does not rule out infinitely many such steps.
    9-/
    10
    11namespace Lax755887.Stuttering
    12
    13abbrev State := ℕ × Bool
    14
    15def tick (s : State) : State := if s.2 then (s.1 - 1, false) else (s.1, true)
    16
    17def Step (next current : State) : Prop := next = tick current
    18
    19end Lax755887.Stuttering
    20
    Builds on

    none

    Used by
    From Mathlib

    Discussion

    Ask a question or add context. Endorsements and structured flags are kept in the review panel above.

    Loading discussion…