--%>
Assignment Help - homework help

Define Well-formed formulas or Wffs

Wffs (Well-formed formulas): These are defined inductively by the following clauses:
  
(i) If  P  is an n-ary predicate and  t1, …, tn are terms, then P(t1, …, tn) is a wff. (Such a wff is atomic.)

(ii)  If α is wff, then ¬ α is a wff.
  
(iii)  If α and β are wffs, then α → β is a wff.  
 
(iv) If α is a wff and x is an individual variable then

1946_v.jpg

is a wff. 
 
The connectives are operators, which act on wffs, yielding other wffs; ¬ is a unary operator (it acts on a single wff), → is a binary operator. Also a quantifier, coupled with a variable, is a unary operator that acts on wffs. We require that any wff that is thus generated has a unique decomposition into components. The notation should be such as to yield a unique readability theorem.

   Related Questions in Mathematics

  • Q : Nonlinear integer programming problem

    Explain Nonlinear integer programming problem with an example ?

    		•
  • Q : Logic and math The homework is attached

    The homework is attached in the first two files, it's is related to Sider's book, which is "Logic for philosophy" I attached this book too, it's the third file.

    		•
  • Q : Pig Game Using the PairOfDice class

    Using the PairOfDice class design and implement a class to play a game called Pig. In this game the user competes against the computer. On each turn the player rolls a pair of dice and adds up his or her points. Whoever reaches 100 points first, wins. If a player rolls a 1, he or she loses all point

    		•
  • Q : Graph Theory is the n-Dimensional Qn

    is the n-Dimensional Qn Hamiltonian? Prove tour answer

    		•
  • Q : State Measuring complexity Measuring

    Measuring complexity: Many algorithms have an integer n, or two integers m and n, as input - e.g., addition, multiplication, exponentiation, factorisation and primality testing. When we want to describe or analyse the `easiness' or `hardness' of the a

    		•
  • Q : Abstract Boolean Algebra I. Boolean

    I. Boolean Algebra Define an abstract Boolean Algebra, B,  as follows:  The three operations are:  +   ( x + y addition) ( x y multiplic

    		•
  • Q : Global And Regional Economic Development

    The Pharmatec Group, a supplier of pharmaceutical equipment, systems and services, has its head office in London and primary production facilities in the US. The company also has a successful subsidiary in South Africa, which was established in 1990. Pharmatec South A

    		•
  • Q : Econ For every value of real GDP,

    For every value of real GDP, actual investment equals

    		•
  • Q : First-order formulas over the

    Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is apoint and a (sraight) line in the 2-dimensional space, respectively, while On(a,b) encodes  that a is a point, b is a line, and o lies on b.

    		•
  • Q : Explain trading of call options Explain

    Explain trading of call options.

    		•