Every regular expression describes regular language Automata Theory by ComputeNow - July 27, 2019July 27, 20190 Every regular expression describes regular language, let R be an arbitrary regular expression over the alphabet Σ. We will prove that the language described by R is a regular language. The proof is by induction on the structure of R. The first base case of induction: Assume that R = ε. The R describes the language of {ε}. In order
Proof by Induction – Mathematical Preliminaries Part 4 Computability Theory by ComputeNow - October 28, 2018October 28, 20180 A proof by induction is the powerful and important technique for proving theorems, in which every step must be justified. For each positive integer n, let P(n) be a mathematical statement that depends on n. Assume we wish to prove that P(n) is true for all positive integers n.A proof by induction of such a statement is carried
