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DATE 2016-11-01

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MESSAGE
DATE 2016-11-02
FROM Christopher League
SUBJECT Re: [Learn] Fitch Algorithm - C++
From learn-bounces-at-nylxs.com Wed Nov 2 22:21:11 2016
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Subject: Re: [Learn] Fitch Algorithm - C++
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--==-=-=
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Tonight I put together a small Haskell script for the Fitch algorithm.
You specify a tree with its leaves labeled, and it figures out the
labels for the interior nodes. There are no transition weights. It
outputs the tree in GraphViz format, so we use `dot` to generate the
image... see attached.

~~~~ {.haskell}
{-# LANGUAGE TypeSynonymInstances, FlexibleInstances, TupleSections #-}
import Data.List (intersperse)
import Data.Set (Set)
import Control.Monad.State
import Control.Monad.Writer
import qualified Data.Set as Set

data Tree a b
= Leaf { leafValue :: b
}
| Branch { branchValue :: a
, branchLeft :: Tree a b
, branchRight :: Tree a b
}
deriving Show

value :: Tree a a -> a
value (Leaf a) = a
value (Branch a _ _) = a

-- Bottom up
phase1 :: Ord b => Tree a b -> (Set b, Tree (Set b) b)
phase1 (Leaf b) = (Set.singleton b, Leaf b)
phase1 (Branch _ l r) =
(s3, Branch s3 l' r')
where
(s1, l') = phase1 l
(s2, r') = phase1 r
s3 =
if Set.null i then u else i
where
u = Set.union s1 s2
i = Set.intersection s1 s2

-- Top down
phase2 :: Ord b => Tree (Set b) b -> Maybe b -> Tree b b
phase2 (Leaf b) _ = Leaf b
phase2 (Branch set left right) parentOpt =
Branch b (phase2 left (Just b)) (phase2 right (Just b))
where
b = case parentOpt of
Just p | Set.member p set -> p
_ -> Set.elemAt 0 set

-- Combine them together
fitch :: Ord b => Tree a b -> Tree b b
fitch t =
phase2 t' Nothing
where (_, t') = phase1 t

------------------------------------------------------------------
-- This part is about visualizing the trees using GraphViz (dot)
class ToLabel a where
toLabel :: a -> String

instance ToLabel Char where
toLabel c = [c]

instance ToLabel String where
toLabel = id

instance ToLabel a => ToLabel (Set a) where
toLabel s =
"{" ++ concat (intersperse "," (map toLabel (Set.toList s))) ++ "}"

next :: State Int Int
next = get <* modify (+1)

numberTree :: Tree a b -> State Int (Tree (Int,a) (Int,b))
numberTree (Leaf b) =
Leaf . (,b) <$> next
numberTree (Branch a l r) =
Branch . (,a) <$> next <*> numberTree l <*> numberTree r

graphViz' :: (ToLabel a, ToLabel b) => Tree (Int,a) (Int,b) -> Writer String String
graphViz' (Leaf (i,b)) = do
let n = "n" ++ show i
tell $ n ++ " [shape=box, label=\"" ++ toLabel b ++ "\"]\n"
return n
graphViz' (Branch (i,a) l r) = do
n1 <- graphViz' l
n2 <- graphViz' r
let np = "n" ++ show i
tell $ np ++ " [shape=oval, label=\"" ++ toLabel a ++ "\"]\n"
tell $ np ++ " -> " ++ n1 ++ "\n"
tell $ np ++ " -> " ++ n2 ++ "\n"
return np

graphViz :: (ToLabel a, ToLabel b) => Tree a b -> String
graphViz t =
"digraph{\n" ++ execWriter (graphViz' t') ++ "}\n"
where t' = evalState (numberTree t) 0

-- Sample tree from http://www.cse.nd.edu/~cse/2013fa/40532/lectures/lecture23/lecture23.pdf
t1 :: Tree () Char
t1 = Branch ()
( Branch ()
( Branch ()
(Leaf 'C')
(Leaf 'G')
)
( Branch ()
(Leaf 'T')
(Leaf 'G')
)
)
(Leaf 'A')

main :: IO ()
main =
putStrLn $ graphViz $ fitch t1
~~~~


--==-=-=
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: quoted-printable






1.0, user-scalable=3Dyes">




Tonight I put together a small Haskell script for the Fitch algorithm. Y=
ou specify a tree with its leaves labeled, and it figures out the labels fo=
r the interior nodes. There are no transition weights. It outputs the tree =
in GraphViz format, so we use dot to generate the image=E2=80=
=A6 see attached.


sourceCode haskell">{-# LANGUAGE TypeSynonymInstances, F=
lexibleInstances, TupleSections #-}

import Data.Listan> (intersperse)
import Data.Setn> (Set)
import Control.Monad=
.State

import Control.Monad=
.Writer

import qualified Data.Setn> as Set

data Tree a b
=3D Leaf {ss=3D"ot"> leafValue :: b
}
| Branch {=3D"ot"> branchValue :: a
, branchLeft :: Tr=
ee
a b
, branchRight :: Tr=
ee
a b
}
deriving Show

value :: Tree a a class=3D"ot">->
a
value (Leaf a) =3D a
value (Branch a _ _) =3D> a

-- Bottom up
phase1 :: Ord b lass=3D"ot">=3D> Tree a b =3D"ot">-> (Set b, T=
ree
(Set b) b)
phase1 (Leaf b) =3D (Se=
t.singleton b, Leaf b)
phase1 (Branch _ l r) =3Dn>
(s3, Branch s3 l' r')
where
(s1, l') =3D phase1 l
(s2, r') =3D phase1 r
s3 =3D
if Set.null i then> u else i
where
u =3D Set.union s1 s2
i =3D Set.intersection s1 s2

-- Top down
phase2 :: Ord b lass=3D"ot">=3D> Tree (t">Set b) b -> Maybe=
b -> Tree b b
phase2 (Leaf b) _ =3D <=
span class=3D"dt">Leaf
b
phase2 (Branch set left right) parentOpt ass=3D"fu">=3D
Branch b (phase2 left (Just<=
/span> b)) (phase2 right (Just b))
where
b =3D case parentOp=
t of
Just p | Set.m=
ember p set -> p
_ -> Set.elemAt 0<=
/span> set

-- Combine them together
fitch :: Ord b ass=3D"ot">=3D> Tree a b "ot">-> Tree b b
fitch t =3D
phase2 t' Nothing
where (_, t') =3D=
phase1 t

--------------------------------------------------------=
----------

-- This part is about visualizing the trees using GraphV=
iz (dot)

class ToLabel a lass=3D"kw">where
toLabel :: a -> pan class=3D"dt">String


instance ToLabel class=3D"dt">Char where
toLabel c =3D [c]

instance ToLabel class=3D"dt">String where
toLabel =3D id

instance ToLabel a n class=3D"ot">=3D>
ToLabel (s=3D"dt">Set a) where
toLabel s =3D
"{" ++ co=
ncat (intersperse "," (map toLabel (Set=
.toList s))) ++ "}"<=
/span>

next :: State ss=3D"dt">Int Int
next =3D get <* modi=
fy (+1)

numberTree :: Tree a b =
-> State =3D"dt">Int (Tree (Int<=
/span>,a) (Int,b))
numberTree (Leaf b) =3D
Leaf . (,b) ss=3D"fu"><$> next
numberTree (Branch a l r) =3D<=
/span>
Branch . (,a) lass=3D"fu"><$> next <*> numbe=
rTree l <*> numberTree r

graphViz' :: (ToLabeln> a, ToLabel b) =3D>> Tree (Int,a) (lass=3D"dt">Int,b) -> ">Writer String String<=
/span>
graphViz' (Leaf (i,b)) =3D=
do
let n =3D =3D"st">"n" ++ show i
tell $ n ++ ss=3D"st">" [shape=3Dbox, label=3D\"" fu">++ toLabel b ++ &qu=
ot;\"]\n"

return n
graphViz' (Branch (i,a) l r) u">=3D do
n1 <- graphViz' l
n2 <- graphViz' r
let np =3D s=3D"st">"n" ++ show i
tell $ np ++ ass=3D"st">" [shape=3Doval, label=3D\"" =3D"fu">++ toLabel a ++ >"\"]\n"
tell $ np ++ ass=3D"st">" -> " ++ n1 class=3D"fu">++
"\n"
tell $ np ++ ass=3D"st">" -> " ++ n2 class=3D"fu">++
"\n"
return np

graphViz :: (ToLabel a,=
ToLabel b) =3D> an class=3D"dt">Tree
a b -> =3D"dt">String
graphViz t =3D
"digraph{\n" ++pan> execWriter (graphViz' t') ++ lass=3D"st">"}\n"
where t' =3D eval=
State (numberTree t) 0

-- Sample tree from http://www.cse.nd.edu/~cse/2013fa/40=
532/lectures/lecture23/lecture23.pdf

t1 :: Tree () ss=3D"dt">Char
t1 =3D Branch ()
( Branch ()
( Branch ()
(Leaf 'C'an>)
(Leaf 'G'an>)
)
( Branch ()
(Leaf 'T'an>)
(Leaf 'G'an>)
)
)
(Leaf 'A')

main :: IO ()
main =3D
putStrLn $ graphViz $=
fitch t1




--==-=-=--

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Content-Disposition: inline; filename=fitch.png
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  1. 2016-11-01 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] how is it indexing in cuda
  2. 2016-11-01 Ruben Safir <ruben.safir-at-my.liu.edu> Re: [Learn] not adequately speced of explained
  3. 2016-11-01 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] how is it indexing in cuda
  4. 2016-11-01 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] not adequately speced of explained
  5. 2016-11-02 Christopher League <league-at-contrapunctus.net> Re: [Learn] Fitch Algorithm - C++
  6. 2016-11-02 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fitch Algorithm - C++
  7. 2016-11-02 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] how is it indexing in cuda
  8. 2016-11-02 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fitch Algorithm - C++
  9. 2016-11-02 IEEE Computer Society <csconnection-at-computer.org> Subject: [Learn] Hear Google's John Martinis Take on Quantum Computing at
  10. 2016-11-02 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] opencl
  11. 2016-11-02 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] scheduled for tommorw
  12. 2016-11-02 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] threads tutorial
  13. 2016-11-03 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fitch Algorithm - C++
  14. 2016-11-03 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fitch Algorithm - C++
  15. 2016-11-03 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fitch Algorithm - C++
  16. 2016-11-03 Christopher League <league-at-contrapunctus.net> Re: [Learn] huffman code
  17. 2016-11-03 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] huffman code
  18. 2016-11-03 Ruben Safir <ruben.safir-at-my.liu.edu> Re: [Learn] huffman code
  19. 2016-11-03 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fitch algorithm from the beginning
  20. 2016-11-03 From: <mrbrklyn-at-panix.com> Subject: [Learn] huffman code
  21. 2016-11-03 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Phenology meeting
  22. 2016-11-03 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] relevant hackathon
  23. 2016-11-03 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] relevant hackathon
  24. 2016-11-04 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] huffman code
  25. 2016-11-04 Christopher League <league-at-contrapunctus.net> Subject: [Learn] Fitch/Sankoff
  26. 2016-11-05 Christopher League <league-at-contrapunctus.net> Re: [Learn] Fwd: templates within templates
  27. 2016-11-05 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: Re: const T vs T const
  28. 2016-11-05 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: Template Library files and Header linking troubles
  29. 2016-11-05 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: templates within templates
  30. 2016-11-06 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fwd: templates within templates
  31. 2016-11-06 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Fwd: templates within templates
  32. 2016-11-06 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fwd: templates within templates
  33. 2016-11-06 Christopher League <league-at-contrapunctus.net> Re: [Learn] Fwd: templates within templates
  34. 2016-11-06 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Fwd: templates within templates
  35. 2016-11-06 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Fwd: templates within templates
  36. 2016-11-06 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Fwd: templates within templates
  37. 2016-11-06 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] GNU Parallel 20161022 ('Matthew') released [stable]
  38. 2016-11-07 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] templates and ostream for future reference
  39. 2016-11-08 Christopher League <league-at-contrapunctus.net> Re: [Learn] C++ signature ambiguity
  40. 2016-11-08 Ruben Safir <ruben.safir-at-my.liu.edu> Re: [Learn] C++ signature ambiguity
  41. 2016-11-08 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] C++ signature ambiguity
  42. 2016-11-08 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: Invitation: Phylogeny meeting -at- Weekly from 10:15 to
  43. 2016-11-08 Ruben Safir <mrbrklyn-at-panix.com> Subject: [Learn] Fwd: [nylug-talk] RSVP open: Wed Nov 16,
  44. 2016-11-09 Christopher League <league-at-contrapunctus.net> Re: [Learn] merge sort parallel hw
  45. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] merge sort parallel hw
  46. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] merge sort parallel hw
  47. 2016-11-09 Christopher League <league-at-contrapunctus.net> Re: [Learn] merge sort parallel hw
  48. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] mergesort tutorial
  49. 2016-11-09 Christopher League <league-at-contrapunctus.net> Re: [Learn] mergesort tutorial
  50. 2016-11-09 Christopher League <league-at-contrapunctus.net> Re: [Learn] namespace and external files confusion
  51. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] namespace and external files confusion
  52. 2016-11-09 From: "Carlos R. Mafra" <crmafra-at-gmail.com> Re: [Learn] Question about a small change
  53. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] =?utf-8?q?C++_call_of_overloaded_=E2=80=98track=28int*=26?=
  54. 2016-11-09 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: lost arguments
  55. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: [dinosaur] Dating origins of dinosaurs,
  56. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] merge sort parallel hw
  57. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] mergesort tutorial
  58. 2016-11-09 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] namespace and external files confusion
  59. 2016-11-10 Christopher League <league-at-contrapunctus.net> Re: [Learn] merge sort parallel hw
  60. 2016-11-10 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] merge sort parallel hw
  61. 2016-11-10 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] merge sort parallel hw
  62. 2016-11-10 Ruben Safir <ruben.safir-at-my.liu.edu> Re: [Learn] merge sort parallel hw
  63. 2016-11-10 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] [Hangout-NYLXS] mergesort tutorial
  64. 2016-11-10 Ruben Safir <mrbrklyn-at-panix.com> Subject: [Learn] Fwd: [Hangout-NYLXS] ease your mind- everything in the
  65. 2016-11-10 Ruben Safir <ruben.safir-at-my.liu.edu> Subject: [Learn] Fwd: [Hangout-NYLXS] R Programming Workshop
  66. 2016-11-10 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Paleocast phenogenetic tree building
  67. 2016-11-11 Christopher League <league-at-contrapunctus.net> Re: [Learn] merge sort parallel hw
  68. 2016-11-12 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] HW of mergesort in parallel
  69. 2016-11-13 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] merge sort in parallel assignment
  70. 2016-11-14 Christopher League <league-at-contrapunctus.net> Re: [Learn] merge sort in parallel assignment
  71. 2016-11-14 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] merge sort in parallel assignment
  72. 2016-11-14 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] merge sort parallel hw
  73. 2016-11-14 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] CUDA and video
  74. 2016-11-14 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] PNG Graphic formats and CRCs
  75. 2016-11-15 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: PNG coding
  76. 2016-11-15 ruben safir <ruben.safir-at-my.liu.edu> Subject: [Learn] Fwd: PNG Coding
  77. 2016-11-16 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Fwd: lost arguments
  78. 2016-11-16 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] relevant hackathon
  79. 2016-11-16 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] C++ Workshop Announcement
  80. 2016-11-16 Ruben Safir <mrbrklyn-at-panix.com> Subject: [Learn] Fwd: Re: ref use
  81. 2016-11-16 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] ref use
  82. 2016-11-16 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] why use a reference wrapper int his example
  83. 2016-11-17 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] [Hangout-NYLXS] at K&R now
  84. 2016-11-17 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: [Hangout-NYLXS] Fwd: PNG Coding
  85. 2016-11-18 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] C++ workshop and usenet responses
  86. 2016-11-19 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: ref use
  87. 2016-11-20 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] when is the constructor called for an object
  88. 2016-11-21 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: creating a binary tree
  89. 2016-11-21 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: hidden static
  90. 2016-11-21 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: ISBI 2017 Call for Abstracts and Non-Author
  91. 2016-11-21 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: PNG coding
  92. 2016-11-21 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: Re: the new {} syntax
  93. 2016-11-21 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: when is the constructor called for an object
  94. 2016-11-21 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: when is the constructor called for an object
  95. 2016-11-21 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: [dinosaur] Eoconfuciusornis feather keratin and
  96. 2016-11-21 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] look what I found
  97. 2016-11-22 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Cuccuency book
  98. 2016-11-22 ruben safir <ruben.safir-at-my.liu.edu> Subject: [Learn] declare a func or call an object
  99. 2016-11-22 Ruben Safir <ruben.safir-at-my.liu.edu> Subject: [Learn] Fwd: Re: Using CLIPS as a library
  100. 2016-11-23 Ruben Safir <ruben.safir-at-my.liu.edu> Subject: [Learn] Fwd: Simple C++11 Wrapper for CLIPS 6.30
  101. 2016-11-23 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Parrelel Programming HW2 with maxpath
  102. 2016-11-24 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] great research news for big data
  103. 2016-11-24 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] mapping algorithms
  104. 2016-11-24 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Todays meeting
  105. 2016-11-25 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: [dinosaur] Flightless theropod phylogenetic variation
  106. 2016-11-26 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Note to self for Thursday
  107. 2016-11-26 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fitch etc
  108. 2016-11-26 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Note to self for Thursday
  109. 2016-11-26 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] operator<<() overloading details and friend
  110. 2016-11-27 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] 130 year old feathers analysis
  111. 2016-11-27 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: ACM/SPEC ICPE 2017 - Call for Tutorial Proposals
  112. 2016-11-27 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: ACM/SPEC ICPE 2017 - Call for Workshop Proposals
  113. 2016-11-27 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: CfP 22nd Conf. Reliable Software Technologies,
  114. 2016-11-27 ruben safir <ruben-at-mrbrklyn.com> Subject: [Learn] Fwd: Seeking contributors for psyche-c
  115. 2016-11-29 Christopher League <league-at-contrapunctus.net> Re: [Learn] Look at this exciting output by my test program
  116. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Look at this exciting output by my test program
  117. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Re: [Learn] Look at this exciting output by my test program
  118. 2016-11-29 Christopher League <league-at-contrapunctus.net> Re: [Learn] Quantum Entanglement
  119. 2016-11-29 Ruben Safir <mrbrklyn-at-panix.com> Re: [Learn] Quantum Entanglement
  120. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Here is the paper I was talking out
  121. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Look at this exciting output by my test program
  122. 2016-11-29 nylxs <mrbrklyn-at-optonline.net> Subject: [Learn] Look at this exciting output by my test program
  123. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] Quantum Entanglement
  124. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] The Death of PBS
  125. 2016-11-29 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] witmer lab ohio and 3d imaging
  126. 2016-11-30 Ruben Safir <ruben-at-mrbrklyn.com> Subject: [Learn] phylogenetic crawler

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