Proof By Contradiction in Proof Techniques Part 2 Computability Theory by ComputeNow - October 4, 20180 Proof by contradiction looks like, in this we assumed the contradiction and prove that what we assumed is contradict itself by using theorem that already proved or have the tautology. Theorem 1: Statement S is true. Proof by contradiction Proof: Assume that the statement S is false. Then, derive a contradiction (such as 1
Proof Techniques Mathematical Preliminaries Part 1 Computability Theory by ComputeNow - September 27, 20180 Proof techniques in mathematical preliminaries is a sequence of mathematical statements that form an argument to show that a theorem is true. The statements in the proof of a theorem include axioms (assumptions about the underlying mathematical structures), hypotheses of the theorem to be proved, and previously proved theorems. The main
Mathematical Preliminaries of Theory of Computation Computability Theory by ComputeNow - September 23, 2018September 23, 20180 Theory of computation or computer science is the version evolved from the mathematics set theory. We have discussed many things so far in this blog website. During answering many questions of the future engineers. We come across that many of them required to understand the mathematical part of the theory of
Context Sensitive Grammar and Linear Bounded Automata Automata Theory by ComputeNow - September 21, 20180 A context sensitive grammar (CSG) is a grammar where all productions are of the form αAβ → αγβ where γ ≠ ε. During derivation non-terminal A will be changed to γ only when it is present in the context of α and β. *Note the constraint that the replacement string γ ≠ ε ; as a consequence we have α ⇒ β implies |α| ≤ |β| CSG is a Noncontracting grammar. Formal
Regular Language in Automata Thoery Automata Theory by ComputeNow - September 20, 2018September 18, 20180 Regular Languages or Formal Language : A language is regular if it can be expressed in terms of regular expression. Closure Properties of Regular Languages Union : If L1 and If L2 are two regular languages, their union L1 ∪ L2 will also be regular. For example, L1 = {an | n ≥ 0} and
What is Chomsky Hierarchy in Theory of Computation Automata Theory by ComputeNow - September 19, 2018September 19, 20180 What is Chomsky Hierarchy? Noam Chomsky categorised regular and other languages which called as Chomsky Hierarchy. Language Class Grammar Automaton 3 Regular NFA or DFA 2 Context-Free Push-Down Automaton 1 Context-Sensitive Linear-Bounded Automaton 0 Unrestricted (or Free) Turing Machine This is a hierarchy, so every language of type 3 is also of types 2, 1 and 0; every language of type 2 is also of types 1 and 0
Azure Machine Learning Workbench – Seems Interesting Machine Learning by ComputeNow - September 18, 20180 Azure Machine Learning Workbench is a desktop application plus command-line tools, supported on both Windows and macOS. It allows you to manage machine learning solutions through the entire data science life cycle: Data ingestion and preparation Model development and experiment management Model deployment in various target environments Here are the core
What is Azure Machine Learning? Machine Learning by ComputeNow - September 13, 2018September 13, 20180 Azure Machine Learning is an integrated, end-to-end data science and advanced analytics solution. It enables data scientists to prepare data, develop experiments, and deploy models at cloud scale. The main components of Azure Machine Learning are: Azure Machine Learning Workbench Azure Machine Learning Experimentation Service Azure Machine Learning Model Management Service
The Pumping Lemma for Context-Free Languages Automata Theory by ComputeNow - September 10, 2018September 10, 20180 The Pumping Lemma for Context-Free Languages (CFL) Proving that something is not a context-free language requires either finding a context-free grammar to describe the language or using another proof technique (though the pumping lemma is the most commonly used one). A common lemma to use to prove that a language is
Context Free Languages Automata Theory by ComputeNow - September 6, 2018September 6, 20180 Context-free languages (CFLs) are generated by context-free grammars. The set of all context-free languages is identical to the set of languages accepted by pushdown automata, and the set of regular languages is a subset of context-free languages. An inputed language is accepted by a computational model if it runs through the model and ends in an accepting final
