Introduction to Computational Logic

Computational Logic Course. Computational logic is a branch of mathematics that deals with the rules for manipulating symbols to express thoughts in a logical way. This can be done through the use of computer programs. A computer program is simply a set of written instructions that tell a computer what to do. Computational logic can be used to solve problems or create systems.

Computational logic is the study of the principles that govern the flow of information in computers. This involves understanding how to use logical operators and connectives to solve problems. Computational logic can be used in a wide variety of fields, such as artificial intelligence, machine learning, and cryptography.

Computer science is the study of designing, building, and using computers. In order to reason formally about the situations we encounter as computer science professionals, we need to develop languages that model these situations. This is where logic comes in.

Logic is a formal reasoning system that can help us model the situations we encounter as computer scientists. It allows us to formalize our thoughts and reasoning in a way that others can understand and critique. This makes it easier for us to communicate our ideas and solve problems.

Computational Logic Course

In addition, logic can be used to create programming languages. These languages allow us to model the computations that computers perform. This allows us to write programs that interact with computers in ways that are meaningful and efficient.

You will Learn

  • Understand the basics of Propositional logic
  • Acquire skills in natural detection rules to handle Propositional logic
  • Acquire skills in derived rules to handle Propositional logic
  • Understand the First-order Logic
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The aim of logic in computer science is to develop languages to model the situations we encounter as computer science professionals, in such a way that we can reason about them formally. Reasoning about situations means constructing arguments about them; we want to do this formally so that the arguments are valid and can be defended rigorously, or executed on a machine.

In order to make arguments rigorous, we need to develop a language in which we can express sentences in such a way that brings out their logical structure. The language we begin with is the language of propositional logic. It is based on propositions or declarative sentences that one can, in principle, argues to be true or false.

The outline of this course is given as,

Introduction to Propositional Logic, Parse tree, valuation of Propositional Logic statements, Model in propositional logic

How do we go about constructing a calculus for reasoning about propositions given a certain arrangement of premises? – Natural Rules for Deduction, Examples of Natural Deduction Rules

Derived Rules for Deduction, Proof by contradiction, Modus Tollens, Law of the Excluded middle portion, and Double negation elimination.

Introduction to Predicate Logic, Natural language statements to Predicate logic statements

Parse tree, substitution, and Model in First-order logic.

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