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Using http://www.complang.tuwien.ac.at/cti/bench/apt_flptp/NAIVE_REVERSE ...

2021-04-11 03:39:17 (CEST) cTI start

% cTI_lt 0.25 using 23.619 MLIPS SICStus 3.8.5 (x86-linux-glibc2.1): Mon Oct 30 16:34:14 CET 2000.
% cTI: Rt=60ms, Wt=59ms. NTI: Rt=4ms, Wt=2ms at most 72 inferences for useful informations.
% NTI summary:  Complete result is optimal.
app(A,B,C)terminates_if b(A);b(C).
    % optimal. loops found: [app([A|_],x,[A|_])]. NTI took    4ms,72i,72i
reverse(A,B)terminates_if b(A).
    % optimal. loops found: [reverse([_|_],_),reverse([_|_],y)]. NTI took    0ms,72i,72i

% Comparison with termination analyzers
% A termination analyser of identical power would verify
% with the following 5 proofs the 2 inferred conditions:

app(f, f, b).
    % ==> termination proof established
app(b, f, f).
    % ==> termination proof established
app(f, b, f).
    % ==> no proof found
reverse(b, f).
    % ==> termination proof established
reverse(f, b).
    % ==> no proof found
2021-04-11 03:39:17 (CEST) cTI finished

Tooltip: You can skip this comparison with termination analyzers by selecting "Comp. skipped" above

Analyzed program located at URL http://www.complang.tuwien.ac.at/cti/bench/apt_flptp/NAIVE_REVERSE:

% reverse(Xs, Ys) :- Ys is a reverse of the list Xs.
reverse([], []).
reverse([X | Xs], Ys) :-
	reverse(Xs, Zs),
	app(Zs, [X], Ys).

% augmented by the APPEND program
app([], Ys, Ys).
app([X | Xs], Ys, [X | Zs]) :- app(Xs, Ys, Zs).

Valid HTML 4.0cTI, Fred Mesnard (Université de La Réunion), Ulrich Neumerkel (Technische Universität Wien)