# Day39 - Propositional Calculus Axiomatizable Fragments Click to edit Master subtitle style Propositional Calculus Mathematical of unquantified

This preview shows pages 1–6. Sign up to view the full content.

Click to edit Master subtitle style 10/4/11 Propositional Calculus Axiomatizable Fragments

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
10/4/11 Dec 2, © UCF (Charles E. 22 Propositional Calculus Mathematical of unquantified logical expressions Essentially Boolean algebra Goal is to reason about propositions Often interested in determining Is a well-formed formula (wff) a tautology? Is a wff refutable (unsatisfiable)?
10/4/11 Dec 2, © UCF (Charles E. 33 Tautology and Satisfiability The classic approaches are: Truth Table Axiomatic System (axioms and inferences) Truth Table Clearly exponential in number of variables Axiomatic Systems Rules of Inference

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
10/4/11 Dec 2, © UCF (Charles E. 44 Proving Consequences Start with a set of axioms (all tautologies) Using substitution and MP derive consequences of axioms (also tautologies, but just a fragment of all) Can create complete sets of axioms Need 3 variables for associativity,
10/4/11 Dec 2, © UCF (Charles E. 55

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/03/2011 for the course COT 5310 taught by Professor Staff during the Spring '08 term at University of Central Florida.

### Page1 / 9

Day39 - Propositional Calculus Axiomatizable Fragments Click to edit Master subtitle style Propositional Calculus Mathematical of unquantified

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online