US STOCKS-Wall St set to open up as Greece summit looms
* Euro zone summit on Greece proposal to start at 1600 GMT
* U.S. May trade deficit widens less than expected
* AMD slumps after cutting quarterly revenue forecast
* Shake Shack falls after Morgan Stanley rating cut
* Futures up: Dow 27 pts, S&P 4.25 pts, Nasdaq 3.5 pts (Adds details, comment, update prices)
By Tanya Agrawal
July 7 (Reuters) - Wall Street was set to open slightly higher on Tuesday ahead of a euro zone leaders summit at which Greece will bring a proposal in a last-ditch bid to secure an aid package to keep the country in the currency club.
Greek lenders are down to their last few days of cash and the European Central Bank has tightened the noose on funding, putting pressure on Greek Prime Minister Alexis Tsipras to persuade the bloc's other 18 leaders to open negotiations fast. The summit begins at 1600 GMT in Brussels.
It is unclear how much Tsipras' new proposal would differ from others rejected in the past. Failure to reach a deal would increase the likelihood of Greece leaving the single currency. Continuación...