Unification algorithm - artificial intelligence, Computer Engineering

Unification Algorithm - Artificial intelligence:

To merge two statements, we should get a substitution which forms the two sentences similar. Remember that we write V/T to signify that we have substituted term T for  variable  V  (read  the  "/"  sign  as  "is  substituted  by").  The purpose  of this algorithm will be to construct a substitution (a set of pairs V/T) for a provided pair of statements. So, for example, the output for the pair of       statements:

Knows (john)

Knows (john, marry)

Will be: {X/mary}. However, for the two sentences on the top involving jack, the method must fail, as there was no method to unify the sentences.

To explain the algorithm, we have to specify some methods it calls internally.

  • The function is a variable(x) checks whether x is a variable.
  • The function is a compound(x) checks if x is a compound expression: else a predicate, a method or a connective which includes subparts. The subparts of a procedure or predicate are the arguments. The subparts of a

Connectives are the things it joins. We write rags(x) for the subparts of complex expression x. Note that args(x) outputs a list: the list of subparts. Also, we write op(x) to signify the symbol of the complex operator (predicate name, method name or connective symbol).

  • The function is a list(x) checks whether x is a list. We write head(L) for the very first term in a list L and tail(L) for the sub list comprising all the another terms besides the top. Hence the top of [2,3,5,7,11] is 2 and the tail is [3,5,7,11]. This terminology is ordinary in Prolog.

It's very easy to clarify the unification algorithm as a recursive way which is capable to call itself. As this is occurring, a set, mu, is passed around the many parts of the algorithm, gathering substitutions as it goes. The method has two basic parts:

Unify internal(x, y, mu)

which returns a substitution which forms sentence x look exactly as sentence y, given an already presented set of substitutions mu (although mu may be empty). This function checks many properties of x and y and calls either itself again or the

unify variable routine,  as  given  below.  Note that the  order  of  the  if- statements is important, and if a breakdown is reported at any stage, the complete function fails. If none of the cases is right for the input, then the algorithm fails to search a unifying set of substitutions.

Unify variable (var, x, mu)

which gets back a substitution provided a variable var, a sentence x and an already present set of substitutions mu. This function also includes a set of cases which results other routines to run if the case is right of the input. Again, the order of the cases is essential. Here, if none of the cases is right of the input, a substitution is got back.

The algorithm is as follows:

unify(x,y) = unify_internal(x,y,{}) unify_internal(x,y,mu) ---------------------- Cases

1. if (mu=failure) then return failure

2. if (x=y) then return mu.

3. if (isa_variable(x)) then return unify_variable(x,y,mu)

4. if (isa_variable(y)) then return unify_variable(y,x,mu)

5. if (isa_compound(x) and isa_compound(y)) then return unify_internal(args(x),args(y),unify_internal(op(x),op(y),mu))

6. if (isa_list(x) and isa_list(y)) then return unify_internal(tail(x),tail(y),unify_internal(head(x),head(y),mu))

7. return failure

unify_variable(var,x,mu) ------------------------ Cases

1. if (a substitution var/val is in mu) then return unify_internal(val,x,mu)

2. if (a substitution x/val is in mu) then return unify_internal(var,val,mu)

3. if (var occurs anywhere in x) then return failure

4. add var/x to mu and return

Posted Date: 10/2/2012 9:30:13 AM | Location : United States

Related Discussions:- Unification algorithm - artificial intelligence, Assignment Help, Ask Question on Unification algorithm - artificial intelligence, Get Answer, Expert's Help, Unification algorithm - artificial intelligence Discussions

Write discussion on Unification algorithm - artificial intelligence
Your posts are moderated
Related Questions
Propositional versions of resolution: Just because of so far we've only looked at propositional versions of resolution. However in first-order logic we require to also deal wi

What is time multiplexed space switching? Explain w ith a neat diagram. Time division switches, an inlet or an outlet corresponded to a particular subscriber line with one s

We have to make an application that will dynamically add a menu strip with menu items to a form(ie NOT dragged and dropped onto the form) in Visual Basic. The menu strip should be

What are the criteria for choosing a process for swapping into memory from the swap device? The resident time of the processes in the change device, the priority of the process

Explain Biometric Systems Biometrics is the science of measuring physical properties of living beings. Biometric Authentication (1) Biometric authentication is the aut

What are the uses of interactive reporting? The user can actively control data retrieval and show during the session.  Instead of an extensive and detailed list, you make a ba

what is the importance of chemistry for computer engineering?

What are the conditions that have to be met for a condition to be an invariant of the class? Ans) ? The condition should hold at the end of each constructor. ? The conditi

Explain with neat diagram the internal organization of bit cells in a memory chip. Memory cells are usually organized in the form of an array, in which every cell is capable of

Define Alphabet and String? A finite set of symbols is termed as alphabet. An alphabet is frequently signified by sigma, yet can be specified any name. B = {0, 1} here B is