--%>

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 : Explain trading of call options Explain

    Explain trading of call options.

  • Q : What is limit x tends to 0 log(1+x)/x

    What is limit x tends to 0  log(1+x)/x to the base a?

  • Q : The mean of the sampling distribution

    1. Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. If P-hat is the proportion saying that the food is delicious, what is the mean of the sampling distribution p-hat?<

  • Q : Formal logic It's a problem set, they

    It's a problem set, they are attached. it's related to Sider's book which is "Logic to philosophy" I attached the book too. I need it on feb22 but feb23 still work

  • Q : What is Non-Logical Vocabulary

    Non-Logical Vocabulary: 1. Predicates, called also relation symbols, each with its associated arity. For our needs, we may assume that the number of predicates is finite. But this is not essential. We can have an infinite list of predicates, P

  • Q : What is the definition of a group Group

    Group: Let G be a set. When we say that o is a binary operation on G, we mean that o is a function from GxG into G. Informally, o takes pairs of elements of G as input and produces single elements of G as output. Examples are the operations + and x of

  • Q : Define terms Terms : Terms are defined

    Terms: Terms are defined inductively by the following clauses.               (i) Every individual variable and every individual constant is a term. (Such a term is called atom

  • 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 : Elasticity of Demand For the demand

    For the demand function D(p)=410-0.2p(^2), find the maximum revenue.

  • Q : Formal logic It's a problem set, they

    It's a problem set, they are attached. it's related to Sider's book which is "Logic to philosophy" I attached the book too. I need it on feb22 but feb23 still work