"The question I'm now worried about is the facility/frequency with which cyclic 
graphs can be "simulated" by DAGs (which is why I implied that everywhere we 
think there might be a convergence to something "real" would require a 
monotonic parameter)"


Uh, why?  For example, compilation of a recursive function to a control flow 
graph.


mdaniels@m2:~$ cat t.c
#include <stdbool.h>

int foo(bool flag) {
  if (flag) foo(false);
  else return 0;
}
mdaniels@m2:~$ gcc -fdump-tree-cfg -c t.c
mdaniels@m2:~$ cat t.c.011t.cfg

;; Function foo (foo, funcdef_no=0, decl_uid=1956, cgraph_uid=0, symbol_order=0)

;; 1 loops found
;;
;; Loop 0
;;  header 0, latch 1
;;  depth 0, outer -1
;;  nodes: 0 1 2 3 4 5 6
;; 2 succs { 3 4 }
;; 3 succs { 5 }
;; 4 succs { 6 }
;; 5 succs { 1 }
;; 6 succs { 1 }
foo (_Bool flag)
{
  int D.1962;

  <bb 2> :
  if (flag != 0)
    goto <bb 3>; [INV]
  else
    goto <bb 4>; [INV]

  <bb 3> :
  foo (0);
  goto <bb 5>; [INV]

  <bb 4> :
  D.1962 = 0;
  // predicted unlikely by early return (on trees) predictor.
  goto <bb 6>; [INV]

  <bb 5> :
  return;

  <bb 6> :
<L3>:
  return D.1962;

}



________________________________
From: Friam <friam-boun...@redfish.com> on behalf of uǝlƃ ☣ 
<geprope...@gmail.com>
Sent: Monday, December 31, 2018 3:05:43 PM
To: FriAM
Subject: Re: [FRIAM] Abduction

Thanks for that paper.  It forced me to remember (and look up) the discussion 
in Pearl's book ("Causality" 2000) about the Markov assumption and latent 
structure reduction.  Part of my reaction to John's statement about trying to 
find a time series that cannot be generated by a sequential machine was a 
result of Pearl's discussion.  The question I'm now worried about is the 
facility/frequency with which cyclic graphs can be "simulated" by DAGs (which 
is why I implied that everywhere we think there might be a convergence to 
something "real" would require a monotonic parameter).


On 12/31/18 12:35 PM, Frank Wimberly wrote:
> Try this link.  Now I remember that Thomas Richardson first described the
> algorithm and Danks and I implemented it.
>
> http://scholar.google.com/scholar_url?url=https://arxiv.org/pdf/1302.3599&hl=en&sa=X&scisig=AAGBfm23iOsgxDPx5eHVIU1aXYbP1yc_ZA&nossl=1&oi=scholarr


--
☣ uǝlƃ

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