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Runti Compl Inner Rewri 22807 pair #381905095
details
property
value
status
complete
benchmark
Ex4_7_77_Bor03_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.51160502434 seconds
cpu usage
3.233093072
max memory
2.11218432E8
stage attributes
key
value
output-size
1527
starexec-result
WORST_CASE(?, O(1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1). (0) CpxTRS (1) NarrowingOnBasicTermsTerminatesProof [FINISHED, 0 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1). The TRS R consists of the following rules: zeros -> cons(0, n__zeros) tail(cons(X, XS)) -> activate(XS) zeros -> n__zeros activate(n__zeros) -> zeros activate(X) -> X S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) NarrowingOnBasicTermsTerminatesProof (FINISHED) Constant runtime complexity proven by termination of constructor-based narrowing. The maximal most general narrowing sequences give rise to the following rewrite sequences: activate(n__zeros) ->^* n__zeros activate(n__zeros) ->^* cons(0, n__zeros) zeros ->^* n__zeros zeros ->^* cons(0, n__zeros) tail(cons(x0, n__zeros)) ->^* n__zeros tail(cons(x0, n__zeros)) ->^* cons(0, n__zeros) ---------------------------------------- (2) BOUNDS(1, 1)
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