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Deriv Compl Full Rewri 33144 pair #381922117
details
property
value
status
complete
benchmark
t006.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
0.0479869842529 seconds
cpu usage
0.167913333
max memory
1.6142336E7
stage attributes
key
value
output-size
1693
starexec-result
WORST_CASE(?,O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_dc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(g(x,y),f(y,y)) -> f(g(y,x),y) - Signature: {f/2} / {g/2} - Obligation: derivational complexity wrt. signature {f,g} + Applied Processor: NaturalMI {miDimension = 1, miDegree = 1, miKind = Algebraic, uargs = NoUArgs, urules = NoURules, selector = Just any strict-rules} + Details: We apply a matrix interpretation of kind triangular matrix interpretation: Following symbols are considered usable: all TcT has computed the following interpretation: p(f) = [1] x1 + [1] x2 + [11] p(g) = [1] x1 + [1] x2 + [0] Following rules are strictly oriented: f(g(x,y),f(y,y)) = [1] x + [3] y + [22] > [1] x + [2] y + [11] = f(g(y,x),y) Following rules are (at-least) weakly oriented: * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(g(x,y),f(y,y)) -> f(g(y,x),y) - Signature: {f/2} / {g/2} - Obligation: derivational complexity wrt. signature {f,g} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))
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