Forward Chaining:

Now we have suppose we have a set of axioms that we know are true statements about the world. Whether we set these to each be an initial state of the segoal state to be our theorem statement there that this is a simple approach that can be used to prove theorems. Now we need call this approach forward chaining, this means that the agent employing the search constructs chains of reasoning and from the axiom and hopefully to the goal. If once a path has been found from the axioms to the theorem than this path constitutes a proof and the problem has been solved. 

Moreover, the problem with forward chaining in generally in which it cannot easily use the goal (theorem of statement) to drive the search. Thus it really must just explore the search space until it comes across the solution. Just to goal-directed searches are often more effective than non-goal directed ones as like forward chaining.