Edit in JSFiddle

<div id="app">
  <input type="checkbox" id="php" value="PHP" v-model="checkedPrograms">
  <label for="php">Jack</label>
  <input type="checkbox" id="javascript" value="JavaScript" v-model="checkedPrograms">
  <label for="javascript">John</label>
  <input type="checkbox" id="java" value="Java" v-model="checkedPrograms">
  <label for="java">Mike</label>
  <br>
  <span>Checked SKILL: {{ checkedPrograms }}</span>
</div>
<script src="https://cdn.jsdelivr.net/npm/vue/dist/vue.js"></script>
var app = new Vue({
  el: '#app',
  data: {
    checkedPrograms: []
  }
})