Rudolph W. Giuliani yesterday removed any lingering doubts that he was running for president, and, without mentioning President Bush by name, offered pointed criticism on how the Iraq war has been handled. Mr. Giuliani has behaved like a presidential candidate for months, forming an exploratory committee, raising money, building a campaign staff and making appearances around the country. But until now, he has repeatedly stopped short of a definitive statement of his intentions — even joking about his nondeclarations in recent days. Republican activists and consultants, citing his early withdrawal from the 2000 Senate race, said he needed to put...