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Model Checker for Persistency

This model checker is a fork of rmem, executable concurrency models for Armv8, RISC-V, Power, and x86. This model checker reuses the Promising model for Armv8 and RISC-V by Pulte et al.

Related publications:

  1. Christopher Pulte, Jean Pichon-Pharabod, Jeehoon Kang, Sung-Hwan Lee, Chung-Kil Hur. Promising-ARM/RISC-V: a simpler and faster operational concurrency model. PLDI 2019.

  2. Kyeongmin Cho, Sung-Hwan Lee, Azalea Raad, and Jeehoon Kang. Revamping Hardware Persistency Models: View-Based and Axiomatic Persistency Models for Intel-x86 and Armv8. PLDI 2021.

Our extension

We extend the original checker to the PArmv8 model checker by supporting:

  • Armv8 instruction for persistency (i.e., DC CVAP)
  • persistency views of PArmv8-view (i.e., VpReady, VpAsync, VpCommit)
  • enumeration of states of when crash occurs at arbitrary point

Build

sudo apt install -y findutils libgmp-dev m4 perl pkg-config zlib1g-dev z3
opam repository add rems https://github.com/rems-project/opam-repository.git#opam2
opam install --deps-only .
ulimit -s unlimited  #  Without this, a stack overflow may occur during build.
make MODE=opt ISA=AArch64

If it doesn't work, please read the README.md of rmem for more details.

Run an example

We use our model checker to verify several representative persistent synchronization examples in [2], including the "Atomic Persists" example in Raad et al. (Example 3) for modeling persistent transaction. All of these examples are in parmv8-view-examples. (The CommitE example involving I/O in [2] is not verified yet by the model checker because it currently does not support I/O instructions. We believe it is straightforward to support them as done in Kang et al. and verify the example.)

How to run and verify an example

To run one of examples:

./run.p [litmus file]

A Litmus file and the corresponding shared_memory.txt must be in the same directory.

For example, the following command is to enumerate every states that the (COMMIT WEAK) example can be reachable in case of either normal termination or an unexpected crash:

./run.p parmv8-view-examples/commit_weak/commit_weak.litmus

Then the output is printed out like below:

Test commit_weak Allowed
Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
Memory-writes=
States 3
1     *>data=0x0; commit=0x0;  via "0"
1     :>data=0x2a; commit=0x0;  via "1;0"
2     :>data=0x2a; commit=0x1;  via "1;1;0"
NVM States 4
4     :>data=0x0; commit=0x0;
2     :>data=0x0; commit=0x1;
3     :>data=0x2a; commit=0x0;
2     :>data=0x2a; commit=0x1;
Deadlock states 1  via "2;0"
Unhandled exceptions 0
Ok
Condition exists (data=0x0 /\ commit=0x0)
Hash=98aca2103a7db7335c83aa17e3f47b8c
Observation commit_weak Sometimes 1 2 with deadlocks
Runtime: 0.034074 sec

NVM States in the middle is a list of all the reachable states of NVM when a program crashes while running or when the program ends. In this case, we can conclude that the desired invariant "commit=1 ⇒ data=42" doesn't hold because the state data=0x0; commit=0x1; denoting "data=0 ∧ commit=1" is on the list.

On the other hand, the output from the command ./run.p parmv8-view-examples/commit1/commit1.litmus to check the (COMMIT1) example is like below:

Test commit1 Allowed
Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
Memory-writes=
States 3
1     *>data=0x0; commit=0x0;  via "0"
1     :>data=0x2a; commit=0x0;  via "1;0"
1     :>data=0x2a; commit=0x1;  via "1;1;0;0"
NVM States 3
2     :>data=0x0; commit=0x0;
2     :>data=0x2a; commit=0x0;
1     :>data=0x2a; commit=0x1;
Unhandled exceptions 0
Ok
Condition exists (data=0x0 /\ commit=0x0)
Hash=d126aef71c01c0b3308c22bd06292d09
Observation commit1 Sometimes 1 2
Runtime: 0.033494 sec

We can conclude the invariant "commit=1 ⇒ data=42" holds in this case because there is no other NVM state than data=42(0x2a) when commit=1.

Expected output and verification of all examples

"atomic_persists"

  • Output:
    Test atomic_persists Allowed
    Shared-memory=0x0000000000001000 (lock)/8; 0x0000000000001100 (Z)/8; 0x0000000000001200 (Y)/8; 0x0000000000001300 (X)/8;
    Memory-writes=
    States 7
    2     *>0:X30=0x0; 1:X30=0x0; lock=0x0; Z=0x0; Y=0x0; X=0x0;  via "0"
    12    :>0:X30=0x0; 1:X30=0x0; lock=0x0; Z=0x0; Y=0x1; X=0x1;  via "1;1;1;1;0;0"
    12    :>0:X30=0x0; 1:X30=0x0; lock=0x0; Z=0x1; Y=0x1; X=0x1;  via "1;1;1;1;1;1;1;0;0"
    3     :>0:X30=0x0; 1:X30=0x0; lock=0x1; Z=0x0; Y=0x0; X=0x0;  via "1;0;0"
    4     :>0:X30=0x0; 1:X30=0x0; lock=0x1; Z=0x0; Y=0x0; X=0x1;  via "1;2;0;0"
    18    :>0:X30=0x0; 1:X30=0x0; lock=0x1; Z=0x0; Y=0x1; X=0x1;  via "1;1;1;0;0"
    12    :>0:X30=0x0; 1:X30=0x0; lock=0x1; Z=0x1; Y=0x1; X=0x1;  via "1;1;1;1;1;1;0;0"
    NVM States 10
    21    :>lock=0x0; Z=0x0; Y=0x0; X=0x0;
    16    :>lock=0x0; Z=0x0; Y=0x0; X=0x1;
    12    :>lock=0x0; Z=0x0; Y=0x1; X=0x0;
    42    :>lock=0x0; Z=0x0; Y=0x1; X=0x1;
    24    :>lock=0x0; Z=0x1; Y=0x1; X=0x1;
    20    :>lock=0x1; Z=0x0; Y=0x0; X=0x0;
    16    :>lock=0x1; Z=0x0; Y=0x0; X=0x1;
    12    :>lock=0x1; Z=0x0; Y=0x1; X=0x0;
    42    :>lock=0x1; Z=0x0; Y=0x1; X=0x1;
    24    :>lock=0x1; Z=0x1; Y=0x1; X=0x1;
    Deadlock states 53  via "2;0"
    Unhandled exceptions 0
    Ok
    Condition exists (0:X30=0x0 /\ 1:X30=0x0 /\ lock=0x0 /\ X=0x0 /\ Y=0x0 /\ Z=0x0)
    Hash=c609d41936e8c98862016f7a1741531b
    Observation atomic_persists Sometimes 1 6 with deadlocks
    Runtime: 0.276038 sec
    
  • Target invariant: "z=1 ⇒ x=1 ∧ y=1"
  • Verification: The invariant holds since there are no other NVM states than {x=1, y=1} when z=1.

"commit1"

  • Output:
    Test commit1 Allowed
    Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
    Memory-writes=
    States 3
    1     *>data=0x0; commit=0x0;  via "0"
    1     :>data=0x2a; commit=0x0;  via "1;0"
    1     :>data=0x2a; commit=0x1;  via "1;1;0;0"
    NVM States 3
    2     :>data=0x0; commit=0x0;
    2     :>data=0x2a; commit=0x0;
    1     :>data=0x2a; commit=0x1;
    Unhandled exceptions 0
    Ok
    Condition exists (data=0x0 /\ commit=0x0)
    Hash=d126aef71c01c0b3308c22bd06292d09
    Observation commit1 Sometimes 1 2
    Runtime: 0.037037 sec
    
  • Target invariant: "commit=1 ⇒ data=42"
  • Verification: The invariant holds since there are no other NVM states than data=42 when commit=1.

"commit2"

  • Output:
    Test commit2 Allowed
    Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
    Memory-writes=
    States 3
    1     *>data=0x0; commit=0x0;  via "0"
    1     :>data=0x2a; commit=0x0;  via "1;0"
    1     :>data=0x2a; commit=0x1;  via "1;1;0;0"
    NVM States 3
    2     :>data=0x0; commit=0x0;
    2     :>data=0x2a; commit=0x0;
    1     :>data=0x2a; commit=0x1;
    Unhandled exceptions 0
    Ok
    Condition exists (data=0x0 /\ commit=0x0)
    Hash=09202897b38b9b5a734ce3e8ae76b2b6
    Observation commit2 Sometimes 1 2
    Runtime: 0.039360 sec
    
  • Target invariant: "commit=1 ⇒ data=42"
  • Verification: The invariant holds since there are no other NVM states than data=42 when commit=1.

"commit2_opt"

  • Output:
    Test commit2_opt Allowed
    Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
    Memory-writes=
    States 3
    1     *>data=0x0; commit=0x0;  via "0"
    1     :>data=0x2a; commit=0x0;  via "1;0"
    1     :>data=0x2a; commit=0x1;  via "1;1;0;0"
    NVM States 4
    3     :>data=0x0; commit=0x0;
    1     :>data=0x0; commit=0x1;
    2     :>data=0x2a; commit=0x0;
    1     :>data=0x2a; commit=0x1;
    Unhandled exceptions 0
    Ok
    Condition exists (data=0x0 /\ commit=0x0)
    Hash=f2c3d2528818e2a2cd912e89a96fbaa1
    Observation commit2_opt Sometimes 1 2
    Runtime: 0.040088 sec
    
  • Target invariant: "(data=0 ∨ data=42) ∧ (commit=0 ∨ commit=1)"
  • Verification: The invariant holds since all NVM states contain only data = 0 or 42, commit = 0 or 1.

"commit_opt"

  • Output:
    Test commit_opt Allowed
    Shared-memory=0x0000000000001000 (data2)/8; 0x0000000000001100 (data1)/8; 0x0000000000001200 (commit)/8;
    Memory-writes=
    States 4
    1     *>data2=0x0; data1=0x0; commit=0x0;  via "0"
    1     :>data2=0x0; data1=0x2a; commit=0x0;  via "1;0"
    1     :>data2=0x7; data1=0x2a; commit=0x0;  via "1;1;0;0"
    1     :>data2=0x7; data1=0x2a; commit=0x1;  via "1;1;1;0;0"
    NVM States 5
    3     :>data2=0x0; data1=0x0; commit=0x0;
    2     :>data2=0x0; data1=0x2a; commit=0x0;
    1     :>data2=0x7; data1=0x0; commit=0x0;
    2     :>data2=0x7; data1=0x2a; commit=0x0;
    1     :>data2=0x7; data1=0x2a; commit=0x1;
    Unhandled exceptions 0
    Ok
    Condition exists (data1=0x0 /\ data2=0x0 /\ commit=0x0)
    Hash=b872b6f6254f4ee00d5db94bc872db96
    Observation commit_opt Sometimes 1 3
    Runtime: 0.041574 sec
    
  • Target invariant: "commit=1 ⇒ data1=42 ∧ data2=7"
  • Verification: The invariant holds since there are no other NVM states than {data1=42, data2=7} when commit=1.

"commit_weak"

  • Output:
    Test commit_weak Allowed
    Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
    Memory-writes=
    States 3
    1     *>data=0x0; commit=0x0;  via "0"
    1     :>data=0x2a; commit=0x0;  via "1;0"
    2     :>data=0x2a; commit=0x1;  via "1;1;0"
    NVM States 4
    4     :>data=0x0; commit=0x0;
    2     :>data=0x0; commit=0x1;
    3     :>data=0x2a; commit=0x0;
    2     :>data=0x2a; commit=0x1;
    Deadlock states 1  via "2;0"
    Unhandled exceptions 0
    Ok
    Condition exists (data=0x0 /\ commit=0x0)
    Hash=98aca2103a7db7335c83aa17e3f47b8c
    Observation commit_weak Sometimes 1 2 with deadlocks
    Runtime: 0.038537 sec
    
  • Target invariant: "commit=1 ⇒ data=42"
  • Verification: The invariant does not hold since there is a state data=0 when commit=1.

"commit_weak_opt"

  • Output:
    Test commit_weak_opt Allowed
    Shared-memory=0x0000000000001000 (data)/8; 0x0000000000001100 (commit)/8;
    Memory-writes=
    States 3
    1     *>data=0x0; commit=0x0;  via "0"
    1     :>data=0x2a; commit=0x0;  via "1;0"
    2     :>data=0x2a; commit=0x1;  via "1;1;0;0"
    NVM States 4
    4     :>data=0x0; commit=0x0;
    2     :>data=0x0; commit=0x1;
    3     :>data=0x2a; commit=0x0;
    2     :>data=0x2a; commit=0x1;
    Deadlock states 1  via "2;0"
    Unhandled exceptions 0
    Ok
    Condition exists (data=0x0 /\ commit=0x0)
    Hash=dbdc76b8b93b68d6de11c09848b0f83a
    Observation commit_weak_opt Sometimes 1 2 with deadlocks
    Runtime: 0.038746 sec
    
  • Target invariant: "(data=0 ∨ data=42) ∧ (commit=0 ∨ commit=1)"
  • Verification: The invariant holds since all NVM states contain only data = 0 or 42, commit = 0 or 1.

"flush_mca"

  • Output:
    Test flush_mca Allowed
    Shared-memory=0x0000000000001000 (Z)/8; 0x0000000000001100 (Y)/8; 0x0000000000001200 (X)/8; 0x0000000000001300 (W)/8;
    Memory-writes=
    States 9
    1     *>Z=0x0; Y=0x0; X=0x0; W=0x0;  via "0"
    1     :>Z=0x0; Y=0x0; X=0x1; W=0x0;  via "1;0"
    1     :>Z=0x0; Y=0x1; X=0x0; W=0x0;  via "2;0"
    1     :>Z=0x0; Y=0x1; X=0x0; W=0x1;  via "2;2;0;0"
    2     :>Z=0x0; Y=0x1; X=0x1; W=0x0;  via "1;2;0"
    3     :>Z=0x0; Y=0x1; X=0x1; W=0x1;  via "1;2;2;0;0"
    1     :>Z=0x1; Y=0x0; X=0x1; W=0x0;  via "1;1;0;0"
    3     :>Z=0x1; Y=0x1; X=0x1; W=0x0;  via "1;1;1;0;0"
    6     :>Z=0x1; Y=0x1; X=0x1; W=0x1;  via "1;1;1;1;0;0"
    NVM States 15
    11    :>Z=0x0; Y=0x0; X=0x0; W=0x0;
    3     :>Z=0x0; Y=0x0; X=0x0; W=0x1;
    12    :>Z=0x0; Y=0x0; X=0x1; W=0x0;
    6     :>Z=0x0; Y=0x0; X=0x1; W=0x1;
    12    :>Z=0x0; Y=0x1; X=0x0; W=0x0;
    6     :>Z=0x0; Y=0x1; X=0x0; W=0x1;
    14    :>Z=0x0; Y=0x1; X=0x1; W=0x0;
    9     :>Z=0x0; Y=0x1; X=0x1; W=0x1;
    3     :>Z=0x1; Y=0x0; X=0x0; W=0x0;
    6     :>Z=0x1; Y=0x0; X=0x1; W=0x0;
    3     :>Z=0x1; Y=0x0; X=0x1; W=0x1;
    6     :>Z=0x1; Y=0x1; X=0x0; W=0x0;
    3     :>Z=0x1; Y=0x1; X=0x0; W=0x1;
    9     :>Z=0x1; Y=0x1; X=0x1; W=0x0;
    6     :>Z=0x1; Y=0x1; X=0x1; W=0x1;
    Unhandled exceptions 0
    Ok
    Condition exists (X=0x0 /\ Y=0x0 /\ Z=0x0 /\ W=0x0)
    Hash=fa1fb39e4e97bf23fcfd743bde0a2f3f
    Observation flush_mca Sometimes 1 8
    Runtime: 0.072553 sec
    
  • Target invariant: "z=w=1 ⇒ (x=1 ∨ y=1)"
  • Verification: The invariant holds since all NVM states, when z=w=1, contain only x=1 or y=1.

"fob"

  • Output:
    Test fob Allowed
    Shared-memory=0x0000000000001000 (Z)/8; 0x0000000000001100 (Y)/8; 0x0000000000001200 (X)/8;
    Memory-writes=
    States 4
    2     *>Z=0x0; Y=0x0; X=0x0;  via "0"
    3     :>Z=0x0; Y=0x0; X=0x1;  via "1;0"
    4     :>Z=0x0; Y=0x1; X=0x1;  via "1;1;0;0"
    1     :>Z=0x1; Y=0x1; X=0x1;  via "1;1;2;0;0"
    NVM States 6
    9     :>Z=0x0; Y=0x0; X=0x0;
    8     :>Z=0x0; Y=0x0; X=0x1;
    4     :>Z=0x0; Y=0x1; X=0x0;
    5     :>Z=0x0; Y=0x1; X=0x1;
    1     :>Z=0x1; Y=0x0; X=0x1;
    1     :>Z=0x1; Y=0x1; X=0x1;
    Unhandled exceptions 0
    Ok
    Condition exists (X=0x0 /\ Y=0x0 /\ Z=0x0)
    Hash=301aa80501fde3394118d23d590d71cd
    Observation fob Sometimes 1 3
    Runtime: 0.053252 sec
    
  • Target invariant: "z=1 ⇒ x=1"
  • Verification: The invariant holds since there are no other NVM states than x=1 when z=1.

Run all examples

You can run all PArmv8-view examples in parmv8-view-examples by executing this script:

./run_parmv8_all.p