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Higher_Order_Rewriting_Union_Beta 2019-03-28 22.10 pair #432270255
details
property
value
status
complete
benchmark
applicative.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n176.star.cs.uiowa.edu
space
Mixed_HO_10
run statistics
property
value
solver
Wanda 2.1c
configuration
default
runtime (wallclock)
9.11147 seconds
cpu usage
9.10406
user time
8.95083
system time
0.153227
max virtual memory
214492.0
max residence set size
97592.0
stage attributes
key
value
starexec-result
MAYBE
output
8.98/9.10 MAYBE 8.98/9.10 We consider the system theBenchmark. 8.98/9.10 8.98/9.10 Alphabet: 8.98/9.10 8.98/9.10 a : [] --> o 8.98/9.10 b : [] --> o 8.98/9.10 f : [o * o] --> o 8.98/9.10 g : [] --> o -> o -> o 8.98/9.10 8.98/9.10 Rules: 8.98/9.10 8.98/9.10 f((/\x.h x) a, i a) => g (h b) (i (h b)) 8.98/9.10 8.98/9.10 Using the transformations described in [Kop11], this system can be brought in a form without leading free variables in the left-hand side, and where the left-hand side of a variable is always a functional term or application headed by a functional term. 8.98/9.10 8.98/9.10 We now transform the resulting AFS into an AFSM by replacing all free variables by meta-variables (with arity 0). This leads to the following AFSM: 8.98/9.10 8.98/9.10 Alphabet: 8.98/9.10 8.98/9.10 a : [] --> o 8.98/9.10 b : [] --> o 8.98/9.10 f : [o * o] --> o 8.98/9.10 g : [o] --> o -> o 8.98/9.10 ~AP1 : [o -> o * o] --> o 8.98/9.10 8.98/9.10 Rules: 8.98/9.10 8.98/9.10 f(~AP1(/\x.~AP1(F, x), a), ~AP1(G, a)) => ~AP1(g(~AP1(F, b)), ~AP1(G, ~AP1(F, b))) 8.98/9.10 ~AP1(F, X) => F X 8.98/9.10 8.98/9.10 8.98/9.10 +++ Citations +++ 8.98/9.10 8.98/9.10 [Kop11] C. Kop. Simplifying Algebraic Functional Systems. In Proceedings of CAI 2011, volume 6742 of LNCS. 201--215, Springer, 2011. 8.98/9.11 EOF
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