Parameterized Systems Klaus v. Gleissenthall, UC San Diego and TU - PowerPoint PPT Presentation

Cardinalities and Universal Quantifiers for Verifying Parameterized Systems Klaus v. Gleissenthall, UC San Diego and TU Munich Nikolaj Bjørner and Andrey Rybalchenko, Microsoft Research

Parallel / Distributed systems Paxos/ Chubby Zab/ Raft Zookeeper

Consensus: majorities

One third rule:

One third rule:

One third rule:

One third rule: property

One third rule: invariant

Filter lock: description

Filter lock: description

Filter lock: description

Filter Lock: property

Filter Lock: invariant

Filter lock:

Program Verifiers:

In this talk:

A simple example:

Example: in logic

Example: constraints find: → → →

Solving: → � → → :

How to count: invariant checking → →

How to count: invariant checking → →

Example: point wise update →

Example: point wise update

What to count � : → � → →

Cardinality axioms: → → → →

Example: finding the solution →

Cardinality axioms: → → → →

Evaluation:

Conclusion:

Axioms: inequality

Axioms: inequality

Axioms: strict inequality