Checkboxes are often tricky, because "unchecked" they wont be included inside the request.

Luckily this is easy circumvented with a hidden input with the same name and a (default) negative value.

Consider the following blade snippet:

<div class="form-group row">
    <div class="col-sm-2 text-right">{{ $left_title }}</div>
    <div class="col-sm-10">
        <div class="form-check">
            <input type="hidden" name="{{ $name }}" value="0">
            <input class="form-check-input"
                   type="checkbox"
                   name="{{ $name }}"
                   value="1"
                   @if($value) checked @endif
                   id="checkbox_{{ $name }}">
            <label class="form-check-label" for="checkbox_{{ $name }}">
                {{ $right_title }}
            </label>
        </div>
    </div>
</div>

The submitted form will always carry a field with the name {{ $name }}. This is handy for the request validation in Laravel.

You might call this inside blade template like:

{{-- Public Flag --}}
@include('bootstrap.forms.checkbox_boolean', [
    'name' => 'public', 'value' => old('public', optional($category)->public),
    'left_title' => 'Published', 'right_title' => 'Category is published
])