language Essence 1.3 $ prob003: quasigroup existence QG7 $ http://www.csplib.org/Problems/prob003 given n : int(1..100) letting g be domain int (0..n-1) find quasigroup : function(total) tuple(g,g) --> g such that $ Latin square-ness forAll v : g . injective(restrict(quasigroup,`tuple(int(v),g)`)), forAll v : g . injective(restrict(quasigroup,`tuple(g,int(v))`)), $ qg7 (b*a)*b = a*(b*a) forAll a,b : g . quasigroup((quasigroup((b,a)),b)) = quasigroup((a,quasigroup((b,a))))