Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

Gabbay's Separation Theorem

Logic and Foundations

Gabbay's separation theorem, in mathematical logic and computer science, states that any formula of linear temporal logic that includes past-tense operators can be rewritten as a Boolean combination of formulas that each refer only to the past, only to the present, or only to the future. The theorem was stated and proved by the logician Dov Gabbay.

Facts
Statement
any formula in linear temporal logic (LTL) with past operators can be rewritten as a boolean combination of formulas that are only concerned with the past, present, or future 1
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Gabbay's separation theorem - Wikipedia
Sources
1. Gabbay's separation theorem - Wikipedia
  • Introduction
    any formula in linear temporal logic (LTL) with past operators can be rewritten as a boolean combination of formulas that are only concerned with the past, present, or future.
  • In Branch: Logic and Foundations, Lead sentence
    In mathematical logic and computer science, Gabbay's separation theorem states that any formula in linear temporal logic (LTL) wit
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.