lec04-inference - EECS 203, Winter 2007 Discrete...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EECS 203, Winter 2007 Discrete Mathematics Lecture 4 Rules of Inference and G odels Theorems January 16 Reading: Rosen [1.5] January 16 Rules of Inference and Godels Theorems, Page 1 4.1 Review A model (or interpretation ) M for a first order logic L is a universe U together with an assignment of actual objects in U for each constant, variable, function, and predicate in L . We say that M satisfies , denoted by M , if M = True . A wff is said to be valid if it is satisfied by all models. Two wffs and are logically equivalent if is valid. The following wffs are valid. A wff obtained from a propositional tautology by replacing each propositional variable by a wff. ( x )- [ x t ], for all wff and variable x , where [ x t ] is with all free x replaced by a term t . - x , for all wff with no free x . ( x ( - ))- (( x )- ( x )), for all wffs , and variable x . January 16 Rules of Inference and Godels Theorems, Page 2 4.1 Review x x , x x ....
View Full Document

Page1 / 23

lec04-inference - EECS 203, Winter 2007 Discrete...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online