Theory of Computation: Unit I: Automata and Regular Expressions

Introduction to Formal Proof

Automata and Regular Expressions - Theory of Computation

The formal proof can be using deductive proof and inductive proof. The deductive proof consists of sequence of statements given with logical reasoning in order to prove the first or initial statement.

Introduction to Formal Proof

• The formal proof can be using deductive proof and inductive proof.

• The deductive proof consists of sequence of statements given with logical reasoning in order to prove the first or initial statement. The initial statement is called hypothesis.

• The inductive proof is a recursive kind of proof which consists of sequence of parameterized statements that use the statement itself with lower values of its parameter.

• In short, formal proofs are the proofs in which we try to prove that statement B is true because statement A is true. The statement A is called hypothesis and B is called conclusion statement. In other words, "if A then B" we say that B is deduced from A.

Let us see some additional forms of proofs.

Theory of Computation: Unit I: Automata and Regular Expressions : Tag: : Automata and Regular Expressions - Theory of Computation - Introduction to Formal Proof