Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
HRS union beta 16688 pair #381734473
details
property
value
status
complete
benchmark
inlamb.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Mixed_HO_10
run statistics
property
value
solver
Wanda
configuration
HigherOrder
runtime (wallclock)
0.0184419155121 seconds
cpu usage
0.011478109
max memory
1138688.0
stage attributes
key
value
output-size
1346
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_HigherOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES We consider the system theBenchmark. Alphabet: a : [] --> B b : [] --> B c : [] --> B f : [A -> B] --> B Rules: f(/\x.a) => b b => f(/\x.c) This AFS is converted to an AFSM simply by replacing all free variables by meta-variables (with arity 0). We use rule removal, following [Kop12, Theorem 2.23]. This gives the following requirements (possibly using Theorems 2.25 and 2.26 in [Kop12]): f(/\x.a) >? b b >? f(/\x.c) We orient these requirements with a polynomial interpretation in the natural numbers. The following interpretation satisfies the requirements: a = 3 b = 2 c = 0 f = \G0.3G0(0) Using this interpretation, the requirements translate to: [[f(/\x.a)]] = 9 > 2 = [[b]] [[b]] = 2 > 0 = [[f(/\x.c)]] We can thus remove the following rules: f(/\x.a) => b b => f(/\x.c) All rules were succesfully removed. Thus, termination of the original system has been reduced to termination of the beta-rule, which is well-known to hold. +++ Citations +++ [Kop12] C. Kop. Higher Order Termination. PhD Thesis, 2012.
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to HRS union beta 16688