April 2015
Intermediate to advanced
482 pages
11h 42m
English
Content preview from Formal Languages and Automata Theory
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Appendix A
PROPOSITION AND PREDICATE LOGIC
In this chapter, we introduce proposition and logical connectives. Normal forms for well-formed formulas are given. Introduction to predicates and rules of inference for propositional calculus and predicate calculus is given.
A.1 Propositions
A proposition is a declarative sentence that is either true or false. If the sentence is true then its truth value (Tv) is T, otherwise it is F.
Example:
S1 – Square of 6 is 36. |
Tv(S1) = T |
⇒ proposition |
S2 – Delhi is the capital of America. |
Tv(S2) = F |
⇒ proposition |
S3 – On Friday it will rain. |
|
|
(This statement has two possible truth values depending on whether it rains or not on Friday).
Tv(S3) = F |
if it does not rain. |
Tv(S3) = T |
if it ... |
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