post.php X-Editable将数据保存到MYSQL数据库

应该向post.php写入哪些代码，这些信息存储在数据库中，但只记录数组

<a data-original-title="access" data-pk="1" data-type="checklist" data-value="" id="access"></a>

    $(".editable-form #access").editable({
      source: [
     {value: 1,text: "a"},
     {value: 2,text: "b"},
     {value: 3,text: "c"},
     {value: 4,text: "d"},
     {value: 5,text: "f"}
      ],
        url:"post.php",
        name: "access"
    });

post.php
        if($_POST['name']=='access'){
            $pk = $_POST['pk'];
            $value=$_POST['value'];
              //when i do echo $value result type array 
              //but i want just value = { 0: "1", 1: "2", 2: "3", 3: "4" }
     $result = mysqli_query($mysqli,"UPDATE `books` SET `access`='$value' WHERE `id`='$pk'");   
          }