symbolic n; symbolic c; # # Omega Calculator [v1.00, Mar 96]: # # # # # # # # R := {[i,j] : 1 <= i <= 10 && 1 <= j <= n}; # # # # R; # # {[i,j]: 1 <= i <= 10 && 1 <= j <= n} # # # # # ac := approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 : # # 0 <= lambda0, lambda1,lambda2,lambda3,lambda4 # # && c = lambda0-lambda1+ 10 lambda2 - lambda3 # # && i = lambda1-lambda2 # # && j = lambda3-lambda4 # # && n = lambda4)}; # # # # ac; # # {[i,j]: 0 <= n && 0 <= n+c+i+j && 0 <= n+c+10i+j && 0 <= n+j} # # # # # # # #ac intersection {[i,j] : i = 1 && c = -1} ; # # #ac intersection {[i,j] : i = -1 && c = 10} ; # # #ac intersection {[i,j] : j = 1 && c = -1 } ; # # #ac intersection {[i,j] : j = -1 && n = 1} ; # # approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 : 0 <= lambda0,lambda1,lambda2,lambda3,lambda4 && n = lambda1+lambda2+lambda3+lambda4 && i = lambda2+10lambda3 && j = lambda2+lambda3+lambda4 && c = lambda0+lambda2+lambda3 && c = 1 )}; approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 : 0 <= lambda1,lambda2,lambda3,lambda4 && n = lambda1+lambda2+lambda3+lambda4 && i = lambda2+10lambda3 && j = lambda2+lambda3+lambda4 && c = lambda2+lambda3 && c = 1 )}; approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 : 0 <= lambda1,lambda2,lambda3,lambda4 && n = lambda1+lambda2+lambda3+lambda4 && i = lambda2+10lambda3 && j = lambda2+lambda3+lambda4 && c = lambda2+lambda3 )};