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HRS union beta 16688 pair #381734574
details
property
value
status
complete
benchmark
Applicative_05__Ex2PrimRec.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
Uncurried_Applicative_11
run statistics
property
value
solver
Wanda
configuration
HigherOrder
runtime (wallclock)
0.546341180801 seconds
cpu usage
0.541633348
max memory
4.6215168E7
stage attributes
key
value
output-size
1374
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_HigherOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. Alphabet: 0 : [] --> a rec : [] --> b -> a -> c -> a -> c -> c -> a -> c s : [] --> b -> b Rules: rec f (g 0) => g rec f (g (s x)) => f x (rec f (g x)) 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: 0 : [] --> a rec : [b -> a -> c -> a -> c * c] --> a -> c s : [b] --> b ~AP1 : [a -> c * a] --> c ~AP2 : [b -> c * b] --> c Rules: rec(F, ~AP1(G, 0)) => G rec(F, ~AP2(G, s(X))) => F X rec(F, ~AP2(G, X)) rec(F, rec(G, X) 0) => rec(G, X) ~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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