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simpleSumDomain.fsx
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simpleSumDomain.fsx
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namespace simpleSumNameSpace
open System.IO
open System
open System.Text.RegularExpressions
module simpleSumModule =
let simpleSumDomain (filepath) =
// Add simplesum domain to the summationDomain.vpr file
use writer: StreamWriter = File.AppendText(filepath)
if not (domainExists ("domain simpleSums") (filepath)) then
writer.WriteLine("
domain simpleSums {
// uninterpreted function
function simplesum(i: Int, N: Int): Int
axiom emptySum{
simplesum(0,0) == 0
}
axiom iGreaterThanN {
forall i:Int, N:Int::
i > N ==> simplesum(i,N) == 0
}
axiom rightRecursion {
forall i:Int, N: Int ::
0 <= i < N ==> simplesum(i,N) == simplesum(i,N-1) + N
}
axiom leftRecursion {
forall i:Int, N: Int ::
0 <= i < N ==> simplesum(i,N) == i + simplesum(i+1,N)
}
}")