First Order Logic Theorem
First Order Logic Theorem Prover Using
Artificial Bee Colony
A Thesis Submitted in Partial Fulfillment of the Requirements for the Degree of
Bachelor of Technology in Computer Science & Engineering by Tapan Anand
Shubham Jaiswal
Shivam Jindal
Krishna Kumar to the
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT
MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY
ALLAHABAD
November, 2014
UNDERTAKING
I declare that the work presented in this thesis titled “First
Order Logic Theorem Prover Using Artificial Bee Colony”, submitted to the Computer Science and Engineering Department,
Motilal Nehru National Institute of Technology, Allahabad, for the award of the Bachelor of Technology degree in
Computer Science & Engineering , is my original work. I have not
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He developed the language to formally express real life logic and devised rules to process and make inferences out of a set of rules and facts.
In early history of logic, scientists like Aristotle [2] and Plato [5] have played a part as well.
2
Chapter 2
Background Details
In this chapter we describe about all the concepts used in this paper.
2.1 First Order Logic
First Order Logic is a formal system used to represent real world logical sentences in a formal manner. It is also known as first-order predicate calculus.
In first-order logic, variables refer to things in the world and you can quantify over them. That is, you can talk about all or some of them without having to name them explicitly.
There are various techniques for theorem proving in first order logic. We describe some of them in below sections.
2.1.1 Forward Chaining
In this approach, we start with a Knowledge Base containing rules and facts. Then inference rules (with Unification) are applied on any relation R and if its antecedent matches any fact, the consequesnts of this rule are added in the Knowledge Base.
3
The
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