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Runti Compl Inner Rewri 22807 pair #381905301
details
property
value
status
complete
benchmark
Ex26_Luc03b_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.48181891441 seconds
cpu usage
3.205235511
max memory
2.10272256E8
stage attributes
key
value
output-size
1552
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1).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: terms(N) -> cons(recip(sqr(N))) sqr(0) -> 0 sqr(s) -> s dbl(0) -> 0 dbl(s) -> s add(0, X) -> X add(s, Y) -> s first(0, X) -> nil first(s, cons(Y)) -> cons(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: first(s, cons(x0)) ->^* cons(x0) first(0, x0) ->^* nil dbl(s) ->^* s dbl(0) ->^* 0 add(s, x0) ->^* s terms(s) ->^* cons(recip(s)) terms(0) ->^* cons(recip(0)) sqr(s) ->^* s sqr(0) ->^* 0 ---------------------------------------- (2) BOUNDS(1, 1)
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