Introduction and objectives

This course provides an introduction to formal techniques to verify computer systems based on models (model checking).

The official plan of this course is hosted in FCUP here.

Learning outcomes and competences

Students should:

  • understand the importance of using logic and formal methods in the development of complex computer systems; and
  • be able to model simple systems and specify properties using temporal logics.

Syllabus

  • Introdução ao model checking
  • Modelação de sistemas paralelos: sistemas transição
  • Paralelismo e comunicação com álgebras de processos
  • Equivalências de sistemas de transição
  • Ferramenta: mCRL2 (modelação)
  • Lógicas dinâmicas (e relação com equivalências)
  • Ferramenta: mCRL2 (verificação)
  • Modelos de tempo real
  • Ferramenta: Uppaal (modelação)
  • Lógicas temporais: linear (LTL) e ramificada (CTL)
  • Ferramenta: Uppaal (verificação)
  • Introdução a modelos probabilísticos e estocásticos
  • Ferramenta: Uppaal (simulações e PLTL)

Lectures

  • 19 Sep ‘24: Overview of the module and introduction to model checking (Slides 1-intro.pdf). Starting to describe transition systems with functors (slides 2-behaviour, frames 1-6).
  • 24 Sep ‘24: Transition systems with functors; syntax of sequential process algebra (slides 2-behaviour, frames 6-18).
  • 26 Sep ‘24: Syntax and semantics of CCS (slides 2-behaviour, frames 18-29).
  • 1 Oct ‘24: Modelling in mCRL2 (slides 3-mCRL2, frames 1-12).
  • 3 Oct ‘24: No lesson.
  • 8 Oct ‘24: Equivalence of transition systems (slides 2-behaviour, frames 13-38).
  • 10 Oct ‘24: Modal logics (slides 4-modal-logic.pdf, frames 1-24).
  • 15 Oct ‘24: Exercises: specifying and explaining concrete formulas in process logic; process logic with regular expressions (slides 4-modal-logic.pdf, frames 25-31).
  • 17 Oct ‘24: Modal logic in mCRL2 (slides 3-mCRL2; Process logic vs. bisimulations; Richer modal logics (slides 4-modal-logic.pdf, frames 33-47).
  • 22 Oct ‘24: LTL, CTL, and Hybrid logic; Frame definability (slides 4-modal-logic.pdf, frames 47-53). Introduction to timed automata (slides 5-TA-modelling.pdf, frames 1-12).
  • 24 Oct ‘24: Timed automata and its composition, formally; Quick introduction to Uppaal (slides 5-TA-modelling.pdf, frames 12-21).
  • 5 Nov ‘24: Exercises on the composition of Timed Automata; Modelling in Uppaal; Introduction to the semantics of Timed Automata, formally (slides 5-TA-modelling.pdf, frames 21-29).
  • 7 Nov ‘24: Semantics of Timed Automata, formally; Timelocks and zeno paths (slides 5-TA-modelling.pdf, frames 29-38).
  • 12 Nov ‘24: Revision on timelocks and zeno paths; modelling extensions in Uppaal (slides 5-TA-modelling.pdf, frames 36-55).
  • 14 Nov ‘24: Comparing Timed Automata (slides 6-TA-verification.pdf, frames 1-6).
  • 19 Nov ‘24: Timed and untimed bisimulations (slides 6-TA-verification.pdf, frames 6-11)
  • 21 Nov ‘24: CTL in Uppaal (slides 6-TA-verification.pdf, frames 12-…)

Literature and Material

Slides

  1. Introduction to the course
  2. Transition systems and CCS
  3. mCRL2 tool
  4. Modal logic
  5. Timed automata: modelling
  6. Timed automata: verifying

Main book

Extra material

Lecturer

    • José Proença's photo
      • José Proença
        • DCC 1.69
        • jose.proenca(at)fc.up.pt
        • meet: thu afternoon (email before)

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