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Runti Compl Inner Rewri 22807 pair #381903978
details
property
value
status
complete
benchmark
11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.56745409966 seconds
cpu usage
3.236298603
max memory
2.07388672E8
stage attributes
key
value
output-size
1398
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1).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: f(0, 1, x) -> f(h(x), h(x), x) h(0) -> 0 h(g(x, y)) -> y 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: h(0) ->^* 0 f(0, 1, g(x0, x1)) ->^* f(x1, x1, g(x0, x1)) f(0, 1, 0) ->^* f(0, 0, 0) f(0, 1, g(x0, x1)) ->^* f(x1, x1, g(x0, x1)) f(0, 1, 0) ->^* f(0, 0, 0) ---------------------------------------- (2) BOUNDS(1, 1)
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