I have searched around SO as well as the rest of the web for a good answer but I have't found one that I really understand. I am going to present this in a different way and hopefully the answers will help others as well.

As far as I understand, the two concepts have the same rules except an abstract class is more flexible due to the method implementation ability. Also, I am aware you can implement multiple interfaces and only extend a single class but I'm sure there are more differences than the two I mentioned.

Please look at the two snippets of code and give me an example what I can do with each of my examples that would make me want or not want to use the other.

Abstract Class

abstract class Foo {
    abstract public function getValue();
    abstract public function setValue($value); 
}


class myObj extends Foo {
    function getValue() {

    }
    function setValue($value) {

    }
}

Interface

interface Foo {
    public function getValue();
    public function setValue($value);
}

class myObj implements Foo {
    function getValue() {

    }
    function setValue($value) {

    }
}

Solution 1:

Abstract

Abstract Classes focus on a kind of things similarity.

People are considered of type mammal and as such would not be considered of type vehicle.

Interface

Interfaces focus on collation of similar function.

For example: You are a human being and are of type mammal. If you want to fly then you will need to implement a flying Interface. If you want to shoot while flying, then you also need to implement the gun Interface.

See the examples below:

abstract class Mammal {
      protected $age_;
      //below are functions I think all mammals will have,including people
      abstract public function setAge($age);
      abstract public function getAge();
      abstract public function eat($food);
}
class Person extends Mammal {
      protected $job_; //Person's feature
      public function setAge($age){
        $this->age_ = $age;
      }

      public function getAge(){
        return $this->age_;
      }

      public function eat($food){
        echo 'I eat ' ,$food ,'today';
      }

      //People only attribute
      public function setJob($job){
         $this->job_ = $job;
      }
      public function getJob(){
         echo 'My job is ' , $this->job_;
      }

}

//Now a person wants to fly, but they are typically not able to do so.
//So we implement an interface
interface Plane{
  public function Fly(); 
}

//I also want shoot enemy
interface Gun{
  public function shoot();
}

class Person2 extends Mammal implements Plane,Gun{

      protected $job_;//Person feature
      public function setAge($age){
        $this->age_ = $age;
      }
      public function getAge(){
        return $this->age_;
      }
      public function eat($food){
        echo '<br/>I eat ' ,$food ,' today<br/>';
      }
      //Only a person has this feature.
      public function setJob($job){
         $this->job_ = $job;
      }
      public function getJob(){
         echo 'My job is ' , $this->job_;
      }

      //-----------------------------------------
      //below implementations from interfaces function. (features that humans do not have).
      //Person implements from other class
      public function fly(){
        echo '<br/>I use plane,so I can fly<br/>';
      }
      public function shoot(){
        echo 'I use gun,so I can shoot<br/>';
      }
}

$People = new Person();
echo '<pre>';
print_r( get_class_methods('People'));
echo '</pre>';

echo '<pre>';
print_r( get_class_methods('People2'));
echo '</pre>';

$People2 = new Person2();
$People2->setAge(24);
echo $People2->getAge();
$People2->eat('egg');
$People2->setJob('PHP devepop');
echo $People2->getJob();

$People2->fly();
$People2->shoot();

Solution 2:

To resume the idea (globally, not in detail):

inheritance

is the notion to extend from something, and optionally add some new feature or override some existing feature (to do differently). But using inheritance, you share a big part of code with the parent. You are a parent + some other things.

interface

is representing some abilities (we says a class is implementing an interface to says that it has these abilities). An interface can be implemented by 2 classes which are completely different and do not share their code (except for methods they implements). When A and B are implementing interface C, A is not a B and B is not a A.

And one of the reason for interface is indeed to allow programmer to do the same as they could do with multi-inheritance, but without multi-inheritance problems.

This notion is used in some programming languages like JAVA, PHP...