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Higher Order Rewriting Union Beta pair #487094127
details
property
value
status
complete
benchmark
gstate.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Hamana_17
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
37.9065 seconds
cpu usage
37.8821
user time
35.8314
system time
2.0507
max virtual memory
2067680.0
max residence set size
1740052.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE We consider the system theBenchmark. Alphabet: lk : [] --> (W -> E) -> E ud : [] --> W -> E -> E Rules: lk (/\x.ud x y) => y ud x (ud y z) => ud y z ud x (lk (/\y.f y)) => ud x (f x) lk (/\x.lk (/\y.f y x)) => lk (/\z.f z z) 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. 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: Alphabet: lk : [W -> E] --> E ud : [W * E] --> E ~AP1 : [W -> E * W] --> E ~AP2 : [W -> W -> E * W] --> W -> E Rules: lk(/\x.ud(x, X)) => X ud(X, ud(Y, Z)) => ud(Y, Z) ud(X, lk(/\x.~AP1(F, x))) => ud(X, ~AP1(F, X)) lk(/\x.lk(/\y.~AP1(~AP2(F, y), x))) => lk(/\z.~AP1(~AP2(F, z), z)) ~AP1(F, X) => F X ~AP2(F, X) => F X +++ Citations +++ [Kop11] C. Kop. Simplifying Algebraic Functional Systems. In Proceedings of CAI 2011, volume 6742 of LNCS. 201--215, Springer, 2011.
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