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Higher Order Rewriting Union Beta pair #487093797
details
property
value
status
complete
benchmark
lambda1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Mixed_HO_10
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
0.010275 seconds
cpu usage
0.005127
user time
0.001706
system time
0.003421
max virtual memory
0.0
max residence set size
1348.0
stage attributes
key
value
starexec-result
NO
output
NO We consider the system theBenchmark. Alphabet: fapp : [o * o] --> o lam : [o -> o] --> o Rules: fapp(lam(f), x) => f x This AFS is converted to an AFSM simply by replacing all free variables by meta-variables (with arity 0). This system is non-terminating, as demonstrated by the following reduction: fapp(lam(/\x.fapp(x, x)), lam(/\y.fapp(y, y))) => (/\x.fapp(x, x)) lam(/\y.fapp(y, y)) =>_beta fapp(lam(/\x.fapp(x, x)), lam(/\y.fapp(y, y))) That is, a term reduces to itself.
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