"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 ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives back to 2003: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives back to 2003: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove