Visualizing SMT-Based Parallel Constraint Solving Jelena Budakovic, - - PowerPoint PPT Presentation

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Visualizing SMT-Based Parallel Constraint Solving Jelena Budakovic, - - PowerPoint PPT Presentation

Dec 23, 2023 131 likes •514 views

Visualizing SMT-Based Parallel Constraint Solving Jelena Budakovic, Amedeo Zucchetti, Matteo Marescotti, Antti E. J. Hyvrinen, and Natasha Sharygina Universit della Svizzera italiana Switzerland SMT@CAV2017 Motivations SMT Very

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Visualizing SMT-Based Parallel Constraint Solving

Jelena Budakovic, Amedeo Zucchetti, Matteo Marescotti, Antti E. J. Hyvärinen, and Natasha Sharygina

SMT@CAV2017 Università della Svizzera italiana Switzerland

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Visualizing SMT-Based Parallel Constraint Solving

Motivations

  • SMT
  • Very expressive language
  • Problem’s intrinsic high complexity (SAT + decision procedures)
  • SMT solvers:
  • Widely used for modelling
  • Highly optimized sequentially
  • Parallel SMT:
  • Aims to solve more and faster
  • Parallel computing is difficult!

Matteo Marescotti 2

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Visualizing SMT-Based Parallel Constraint Solving

Verification Use Case

Matteo Marescotti 3

Source code repository

Model Checker

SMT Solver

SMT Viewer

(PDR)

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Visualizing SMT-Based Parallel Constraint Solving

Parallelize the work

  • Portfolio:
  • Many search-independent processes
  • Partitioning:
  • The problem is partitioned to several sub-problems such

that:

  • problem is SAT:

exists a sub-problem SAT

  • problem is UNSAT:

all sub-problems are UNSAT

  • Combination of the two above

Matteo Marescotti 4

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

Circle: original instance

3 solvers portfolio SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

3

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

…

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

3

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

3

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

… … 3

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SLIDE 10

Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

… … 3

✓

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

… … 3

✓ ✓

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Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

… … 3

✗

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SLIDE 13

Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

… … 3

✗ ✗✗ ✗

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SLIDE 14

Visualizing SMT-Based Parallel Constraint Solving

Parallelization Tree Framework

… 5 7 …

Circle: original instance

3 solvers portfolio

Diamond: partitioning

Each diamond represents a way to partition the parent’s instance.

Circle: a partition of the parent’s instance

Each node could possibly be the root of a new tree. SAT 2015, ATVA 2016, FMCAD 2017 (P3)

Matteo Marescotti 5

… … 3

✗ ✗✗ ✗ ✗

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Visualizing SMT-Based Parallel Constraint Solving

SMT Portfolio & Partitioning

  • Portfolio:
  • Solver random seed
  • Partitioning:
  • Search space partitioning (SAT)
  • Jointly exhaustive assumptions (disjunction is a tautology)

Matteo Marescotti 6

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Visualizing SMT-Based Parallel Constraint Solving

PDR Portfolio & Partitioning

  • Portfolio:
  • PDR strategy
  • Underlying SMT solver’s random seed
  • Partitioning:
  • PDR partitioning

Matteo Marescotti 7

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Visualizing SMT-Based Parallel Constraint Solving

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F2 F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F3 F2 F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F3 F2 F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F3 F2 F1

PDR

Matteo Marescotti 8

Init Bad Tr

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Visualizing SMT-Based Parallel Constraint Solving

F3 F2 F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F3 F2 F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F3 F2 F1

PDR

Matteo Marescotti 8

Init Bad

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Visualizing SMT-Based Parallel Constraint Solving

F2 F1

PDR

Matteo Marescotti 8

Init Bad =F3

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Visualizing SMT-Based Parallel Constraint Solving Matteo Marescotti 9

PDR Partitioning

FMCAD 2017

Bad Init

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Visualizing SMT-Based Parallel Constraint Solving Matteo Marescotti 9

PDR Partitioning

FMCAD 2017

Bad

Pre-image of Bad

Init

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Visualizing SMT-Based Parallel Constraint Solving Matteo Marescotti 9

PDR Partitioning

FMCAD 2017

Bad

Pre-image of Bad

Init

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Visualizing SMT-Based Parallel Constraint Solving Matteo Marescotti 9

PDR Partitioning

FMCAD 2017 Bad1 Bad2 Bad3

Init

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Visualizing SMT-Based Parallel Constraint Solving Matteo Marescotti 9

PDR Partitioning

FMCAD 2017 Bad1 Bad2 Bad3

Init

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Visualizing SMT-Based Parallel Constraint Solving

SMTViewer API

Matteo Marescotti 10

  • SQLite database of events happened during parallel solving:
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Visualizing SMT-Based Parallel Constraint Solving

Analysis Demo

Matteo Marescotti 11

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Visualizing SMT-Based Parallel Constraint Solving

Architecture

Matteo Marescotti 12

  • SMTService:
  • SMT: OpenSMT2
  • PDR: Z3 Spacer

SMTService

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Visualizing SMT-Based Parallel Constraint Solving

Architecture

Matteo Marescotti 12

SMTViewer

  • SMTService:
  • SMT: OpenSMT2
  • PDR: Z3 Spacer
  • SMTViewer:
  • Real time mode
  • Analysis mode

SMTService

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Visualizing SMT-Based Parallel Constraint Solving

Live Demo

Matteo Marescotti 13

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Visualizing SMT-Based Parallel Constraint Solving

Future work

  • SMT formula visualization
  • SMT learned clauses analysis
  • PDR frame lemmas analysis
  • SMTS: support for more solvers, reproducibility
  • Any suggestions?

Matteo Marescotti 14

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Visualizing SMT-Based Parallel Constraint Solving

Thank you
 


SMTS public repository:


$ git clone https://scm.ti-edu.ch/repogit/smts.git


Matteo Marescotti 15