TLA+ Community Meeting 2023
Saturday, April 22, 2023
Paris, France

Alloy for TLA+ Users

Jay Parlar


Alloy ( is a modelling language for software systems, out of MIT. Like TLA+, it comes bundled with an IDE and a model checker. Its mathematical foundation is also based on sets and predicate logic. Where Alloy differs from TLA+ is in its “visualizer”, its use of SAT solvers, and its focus on modelling relational data instead of concurrent systems. This talk provides a high level overview of Alloy for a typical TLA+ user, and show instances where one might choose Alloy over TLA+, and vice-versa, and more importantly, why it’s hugely valuable to know both systems.

One-page Summary of Content:

  • Introduction
  • Show simple Alloy spec
  • Describe Alloy syntax
    • Compare key syntax to equivalent TLA+ syntax
  • Show visualizer
  • Show the main visualizer mode
  • Show the table-based visualizer mode
    • Show the visualizer theme editor
  • Show invariant checks
  • Show multiple “run” statements
  • Describe relational data underpinnings of Alloy
    • Everything is sets and relations
    • Show the JOIN operator
    • Show transitive closure operator
  • Describe building out a model from scratch
    • Illustrate how the visualizer often points out areas a human might not think of
    • Like TLA+, Alloy is a tool to help you think better
  • Show how time is modelled in Alloy
  • Show how to do TLA+-style operations
  • Show enabling conditions
  • Show “UNCHANGED” equivalent
  • Show what a time-based counterexample looks like in Alloy
  • Talk about advantages of using Alloy to model other peoples' systems
  • Talk about when one might use Alloy or might use TLA+
  • Talk about what TLA+ could learn from Alloy
  • Talk about what Alloy could learn from TLA+
    • UNCHANGED, for example