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HRS union beta 16688 pair #381734334
details
property
value
status
complete
benchmark
monad.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Hamana_17
run statistics
property
value
solver
Wanda
configuration
HigherOrder
runtime (wallclock)
201.25595808 seconds
cpu usage
201.146178709
max memory
2.81935872E9
stage attributes
key
value
output-size
1756
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_HigherOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. Alphabet: bind : [] --> Ta -> a -> Ta -> Ta return : [] --> a -> Ta Rules: bind (return x) (/\y.f y) => f x bind x (/\y.return y) => x bind (bind x (/\y.f y)) (/\z.g z) => bind x (/\u.bind (f u) (/\v.g v)) 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: bind : [Ta * a -> Ta] --> Ta return : [a] --> Ta ~AP1 : [a -> Ta * a] --> Ta Rules: bind(return(X), /\x.~AP1(F, x)) => ~AP1(F, X) bind(X, /\x.return(x)) => X bind(bind(X, /\x.~AP1(F, x)), /\y.~AP1(G, y)) => bind(X, /\z.bind(~AP1(F, z), /\u.~AP1(G, u))) bind(return(X), /\x.return(x)) => return(X) bind(bind(X, /\x.return(x)), /\y.~AP1(F, y)) => bind(X, /\z.bind(return(z), /\u.~AP1(F, u))) bind(bind(X, /\x.~AP1(F, x)), /\y.return(y)) => bind(X, /\z.bind(~AP1(F, z), /\u.return(u))) bind(bind(X, /\x.return(x)), /\y.return(y)) => bind(X, /\z.bind(return(z), /\u.return(u))) ~AP1(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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