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| From | Mild Shock <janburse@fastmail.fm> |
|---|---|
| Newsgroups | sci.math |
| Subject | The Original Ganster (OG) of Gameification: IEEE 1044.1-1995 (Re: Mercio’s Algorithm for Rational Tree Compare in Prolog) |
| Date | 2025-08-04 13:50 +0200 |
| Message-ID | <106q6qp$39eps$3@solani.org> (permalink) |
| References | <106p0ct$3b6se$3@solani.org> |
Hi, Nope, stack overflow didn't invent Gameification. This was already quite fun: IEEE Guide to Classificaton of Software Anomalies https://github.com/Orthant/IEEE/blob/master/1044.1-1995.pdf Here some examples: - Boing Airplane lost in the Maledives: No problem, severity 7 - Salary Payed twice by Booking Software: No problem, severity 0 LoL Bye Mild Shock schrieb: > Mercio’s Algorithm (2012) for Rational > Tree Compare is specified here mathematically. > It is based on computing truncations A' = (A_0, > A_1, etc..) of a rational tree A: > > A < B ⟺ A′ <_lex B′ > > https://math.stackexchange.com/a/210730 > > Here is an implementation in Prolog. > First the truncation: > > trunc(_, T, T) :- var(T), !. > trunc(0, T, F) :- !, functor(T, F, _). > trunc(N, T, S) :- > M is N-1, > T =.. [F|L], > maplist(trunc(M), L, R), > S =.. [F|R]. > > And then the iterative deepening: > > mercio(N, X, Y, C) :- > trunc(N, X, A), > trunc(N, Y, B), > compare(D, A, B), > D \== (=), !, C = D. > mercio(N, X, Y, C) :- > M is N + 1, > mercio(M, X, Y, C). > > The main entry first uses (==)/2 for a > terminating equality check and if the > rational trees are not equal, falls back > to the iterative deepening: > > mercio(C, X, Y) :- X == Y, !, C = (=). > mercio(C, X, Y) :- mercio(0, X, Y, C). > > I couldn’t find yet a triple that violates > transitivity. But I am also not much happy > with the code. Looks a little bit expensive > to create a truncation copy iteratively. > > Provided there is really no counter example, > maybe we can do mit more smart and faster? It > might also stand the test of conservativity?
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Mercio’s Algorithm for Rational Tree Compare in Prolog Mild Shock <janburse@fastmail.fm> - 2025-08-04 02:54 +0200
The Original Ganster (OG) of Gameification: IEEE 1044.1-1995 (Re: Mercio’s Algorithm for Rational Tree Compare in Prolog) Mild Shock <janburse@fastmail.fm> - 2025-08-04 13:50 +0200
The Bitrot called Math Stack Exchange (Re: The Original Ganster (OG) of Gameification: IEEE 1044.1-1995) Mild Shock <janburse@fastmail.fm> - 2025-08-04 13:57 +0200
I guess its back to Hopcroft and Karp (Re: The Bitrot called Math Stack Exchange) Mild Shock <janburse@fastmail.fm> - 2025-08-04 14:12 +0200
Szpilrajn Theorem and Suzumura Consistency (Re: Mercio’s Algorithm for Rational Tree Compare in Prolog Mild Shock <janburse@fastmail.fm> - 2025-08-06 01:53 +0200
The good thing is we have at least Mercio’s Algorithm (Re: Szpilrajn Theorem and Suzumura Consistency) Mild Shock <janburse@fastmail.fm> - 2025-08-06 08:09 +0200
Hopcroft and Karp’s is just Contraction (Re: The good thing is we have at least Mercio’s Algorithm) Mild Shock <janburse@fastmail.fm> - 2025-08-06 08:16 +0200
Re: Hopcroft and Karp’s is just Contraction (Re: The good thing is we have at least Mercio’s Algorithm) Mild Shock <janburse@fastmail.fm> - 2025-08-06 08:23 +0200
Mercios decidability was already attested in 2012 (Re: Mercio’s Algorithm for Rational Tree Compare in Prolog) Mild Shock <janburse@fastmail.fm> - 2025-08-14 20:40 +0200
Performance of Mercio’s Total Order (Re: Mercios decidability was already attested in 2012) Mild Shock <janburse@fastmail.fm> - 2025-08-15 23:51 +0200
Fuzzy Testing is your Swiss Knife (Was: Performance of Mercio’s Total Order) Mild Shock <janburse@fastmail.fm> - 2025-08-15 23:54 +0200
Yeah, we have another name! (Re: Fuzzy Testing is your Swiss Knife) Mild Shock <janburse@fastmail.fm> - 2025-08-16 12:40 +0200
Monte Carlo sampling the frontier version (Re: Yeah, we have another name!) Mild Shock <janburse@fastmail.fm> - 2025-08-16 12:44 +0200
An NPU could give 1000x more LIPS (Re: Mercio’s Algorithm for Rational Tree Compare in Prolog) Mild Shock <janburse@fastmail.fm> - 2025-11-27 14:23 +0100
Zeus: A Language for Expressing Algorithms in Hardware (Re: Neural Network based dif/2 respectively (#\=)/2) Mild Shock <janburse@fastmail.fm> - 2025-11-27 15:02 +0100
100% serious Giga Logical Inferences per Second (GLIPS) (Re: An NPU could give 1000x more LIPS (Re: Mercio’s Algorithm for Rational Tree Compare in Prolog) Mild Shock <janburse@fastmail.fm> - 2025-11-28 14:53 +0100
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