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INTRODUCTION TO TLA + Presented by : Kevin Yeh What is TLA+ - PowerPoint PPT Presentation

Jan 20, 2024 •391 likes •611 views

INTRODUCTION TO TLA + Presented by : Kevin Yeh What is TLA+ Specification Language for modelling complex or concurrent systems TLA+ toolbox performs model checks to check for correctness PlusCAL What can TLA+ do for you?

  1. INTRODUCTION TO TLA + Presented by : Kevin Yeh

  2. What is TLA+ • Specification Language for modelling complex or concurrent systems • TLA+ toolbox performs model checks to check for correctness • PlusCAL

  3. What can TLA+ do for you? • Modelling of ALGORITHMS prior to implementation • Meant as a supplement to traditional test/ verification • Very powerful bug detection

  4. What can TLA+ do for you? • Been used successfully at Amazon, HP, and Intel • Two weeks before value was added

  5. Intangibles • Requires up-front system understanding • Adds value even after production release

  6. TLA+ an Overview • 4 parts to a specification • Initial predicate • Possible “Next” states • Safety Properties • Liveness Properties

  7. Alternating One-bit Clock • Initial Predicate • (b = 0 ) V (b = 1) • Next States • ((b = 0) /\ (b’ = 1)) V ((b = 1) /\ (b’ = 0 ))

  8. Alternating One-bit Clock • Initial Predicate • (b = 0 ) V (b = 1) • Next States • ((b = 0) /\ (b’ = 1)) V ((b = 1) /\ (b’ = 0 ))

  9. Die Hard Problem • What you have: 3-gallon jug, 5-gallon jug, and a faucet • Goal: Measure 4 gallons

  10. Die Hard Problem

  11. Die Hard Problem FillSmall == /\ small’ = 3 /\ big’ = big SmallToBig == \/ /\ big+ small >5 /\ big’ = 5 /\ small’ = small – (5-big) \/ /\ big + small <= 5 /\ big’ = big + small /\ small’ = 0

  12. Model Checker • Builds up a Directed Graph of all possible states. Invariant Checker State Statistics

  13. Die Hard - Solution

  14. Safety/Liveness Properties • Safety Property – Define a correct behavior of your procedure • Partial Correctness : (terminated) => (Correct_Output) • Liveness Property – Define a correct behavior that must eventually hold • Termination

  15. Euclid’s Algorithm – a high level view • Find the Greatest Common Divisor of two numbers • General Procedure: • PlusCAL -> TLA+ • Write the definition of GCD using set logic: GCD(m,n) • Use definition to write Safety/Liveness Properties • This is how TLA+ is used in industry

  16. Euclid’s Algorithm • PlusCAL code:

  20. Model Checking Safety Liveness 0 BUGS!

  21. Questions?

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