MTT 5 Benchmarks

The diagram with the transformations (on the right) is key for understanding the transformations being used.

Terminating problems are in green, non-terminating ones in red, and problem whose termination cannot be proof in orange.

The timeout is set to 10 minutes for all the proofs.

The benchmark includes functional modules (MEL theories, like MTT-BOOL, MTT-NAT, MTT-LIST, etc.) and system modules (RW theories, like JOSEPHUS, BLACKBOARD, DIE-HARD, etc.), some are context sensitive (LAZY-LIST-UTILITIES and LAZY-NAT-LIST), others have A (JOSEPHUS-GENERALIZED) or AC (BLACKBOARD, MTT-MAP, DATA-AGENTS, and DINING-PHILOSOPHERS) operators, and some are non-terminating (INF and DIE-HARD).

In most cases, there are several alternative valid transformations. We give here some of them just for illustrating purposes. 
[check the technical report for the available transformations]


Problem Strategy Proof
transformation and-optimization context-sensitive AProVE MuTerm
MTT-BOOL C-A-B-no-sorts off off YES
0:00 minutes
YES
C-OS-B'-A-no-sorts off off YES
0:00 minutes
YES
MTT-NAT C-A-B-no-sorts off off YES
0:00 minutes
YES
C-OS-A-B-no-sorts off off YES
0:00 minutes
YES
MTT-LIST C-A-B-no-sorts off off YES
0:00 minutes
YES
C-A-B-no-kinds off off YES
0:00 minutes
YES
LAZY-LIST-UTILITIES C-A-B-no-sorts off on YES
0:22 minutes
YES
C-OS-B-O-L off on YES
0:34 minutes
YES
LAZY-NAT-LIST C-OS-B-O-L- off on ...
10:00 minutes
...
MTT-MAP C-A-B-no-sorts off off YES
0:00 minutes
AC not supported
C-OS-B'-A-no-sorts off off YES
0:00 minutes
AC not supported
JOSEPHUS C-A-B-no-sorts off off YES
0:00 minutes
YES
OS-T-B'-A-no-sorts off off YES
0:00 minutes
YES
RABBIT-HOP C-A-B-no-sorts off off YES
0:02 minutes
YES
OS-T-A-B-no-sorts off off YES
0:00 minutes
YES
BLACKBOARD C-A-B-no-sorts off off YES
0:00 minutes
AC not supported
OS-T-A-B-no-sorts off off YES
0:00 minutes
AC not supported
JOSEPHUS-GENERALIZED C-A-B-no-sorts off off YES
0:00 minutes
A not supported
C-OS-B'-A-no-sorts off off YES
0:00 minutes
A not supported
DATA-AGENTS C-A-B-no-sorts off off ...
10:00 minutes
AC not supported
DINING-PHILOSOPHERS-5 C-A-B-no-sorts off off ...
10:00 minutes
AC not supported
DIE-HARD C-A-B-no-sorts off off ...
10:00 minutes
AC not supported
OS-T-B-O-L- off off ...
10:00 minutes
AC not supported
OS-T-A-B-no-sorts off off ...
10:00 minutes
AC not supported
INF C-A-B-no-kinds off off NO
0:03 minutes
...
C-OS-B-O-L- off off ... ...
C-OS-A-B-no-kinds off off ...
10:00 minutes
...