In the election manifesto released yesterday, the group Crusaders for Democracy has also said if the government fails to address the issues faced by Tamils then their struggle to push for a solution will continue after the August 17 polls.
Nadesapaillai Vithyathran, the group's leader, said they were seeking a solution based on all the three promises.
"We will urge the government to find a solution based on all three outcomes and we will carry on with our non-violent struggle," Vithyatharan said.
Tamils would want to live in brotherhood with the Sinhala and Muslim communities, he stressed.
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In 2002 in Oslo, under the Norwegian peace initiative the LTTE and the government agreed to find a solution based on the Tamil right for self-determination in a federal structure.
In 1985 in Thimphu, Bhutan, the Tamil groups and the Sri Lankan government under Indian auspices had agreed to accept Tamils as a distinct nationality.
The Indo-Sri Lanka Peace Accord was signed between Prime Minister Rajiv Gandhi and Sri Lankan President JR Jayewardene in 1987. It was expected to resolve the Sri Lankan civil war.
The Crusaders for Democracy has decided to contest from the Tamil-dominated northern Jaffna district. However, their main challenger would be the moderate Tamil National Alliance, who have been accused of being proxies for the LTTE.