Download presentation

Presentation is loading. Please wait.

Published byYvonne Strowbridge Modified over 2 years ago

1
Models and Propositional Logic In propositional logic, a model in general simply fixes the truth value – true or false – for every proposition symbol. A model for a formula (set) is an assignment that makes the formula(s) true. One convention is to make a list of the symbols that are true in the model. Example: { P22, B21} is a model for the formula B21 P1 (B11 (P12 P21) ) (B21 (P11 P22 P31) ) B11

2
Implicative Normal Form Clauses on Conjunctive Normal Form, which is the basis for Resolution, can be presented in a more readable form. This means that all clauses, which originally are in conjunctive normal form (CNF) like A1 B1 A2 ... B2 B3... An (order of literals is immaterial) is transformed to the equivalent formula (B1 B2 B3 … Bm ) (A1 A2 … An) If m=0, we write True (A1 A2 … An) If n=0, we write (B1 B2 B3 … Bm ) False

3
Implicative Normal Form (LOUIS Style) For some implementations, the clauses in INF are represented using some conventions inherited from Prolog: - identifiers starting with small letters denote constants - identifiers starting with capital letters denote variables Operators ( ) are printed as (and,or,not,=>) and each clause is ended with a ‘.’ b1 and b2 and b3...bn => a1 or a2... an. If m = 0 (no negative literal), we write t => a1 or a2... an. where t denotes the logical constant TRUE. If n = 0 (no positive literals), we write b1 and b2 and b3...bn => f. where f denotes is the logical constant FALSE.

4
LOUIS Theorem Prover (A Model Builder for Logical Expressions) LOUIS Therorem Prover is a model builder for clauses in Implicative Normal Form. It will try to find a model for the formulas, represented as a list of symbols that are true. If so, the formulas are satisfiable.If the formulas are unsatisfiable, a message is given. The system can be used to prove theorems of the kind KB |= if the negation of the formula is added to KB, and showing that the combined set is unsatisfiable.

Similar presentations

OK

For Friday No reading Homework: –Chapter 9, exercise 4 (This is VERY short – do it while you’re running your tests) Make sure you keep variables and constants.

For Friday No reading Homework: –Chapter 9, exercise 4 (This is VERY short – do it while you’re running your tests) Make sure you keep variables and constants.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on forest management in india Ppt on group decision making techniques Mba ppt on introduction to business finance Ppt on iso-osi reference model Ppt online open section Ppt on face recognition technology using matlab Ppt on sound navigation and ranging system mechanic Ppt on artificial intelligence in machines Ppt on cloud computing pdf Ppt on electrical circuit breaker