Expressing concern over the killings, the party said that the Armed Forces (Special Powers) Act (AFSPA) should be withdrawn from the state and demanded a "credible" probe into the incident to "assuage" some of the anger among people in that area.
"The Prime Minister, who visited Jammu a few days after the turmoil in the Valley, evoked (Atal Bihari) Vajpayee's slogan of insaniyat (humanity), jumhooriat (democracy) and Kashmiriyat to assure the people of Jammu & Kashmir that this will be the path adopted.
Karat made the remark in the editorial of forthcoming issue of party mouthpiece 'People's Democracy'.
He said the "first reaction" of the government after the Handwara incident was to sent more troops and paramilitary forces to the state which goes against both "humanity and democratic rights" of local people.
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Noting Jammu and Kashmir already has six lakh Army and paramilitary personnel stationed there, Karat called for dismantling of the security structures, "which oppress civilian population".
Karat demanded AFSPA, which enables Army to act "with impunity" against civilian population, be withdrawn and suggested the government to begin the process from parts of the state barring border areas.
He said how the Mehbooba Mufti-led PDP-BJP coalition takes steps to deal with the killings and its aftermath will be the "first major test" for her new government.