Hey, I'd like to be unsubscribed. Thanks. - Yoel ----- Original Message ----- From: "Yonatan Ben-Yaakov" <yontanbn@xxxxxxxxxxxxx> To: <mathprog@xxxxxxxxxxxxx> Sent: Monday, February 10, 2003 12:20 AM Subject: [mathprog] If you're not interested, don't read. > If you're not interested in this project, you don't need to read on just > to make me happy. it's really unnecessary. I can even unsubscribe you if > you want. > > Now, to the subject matter. > Me and Noam and Pavel got an idea. Ok, I conceived it, but we developed it > together. Object-oriented proof systems... The main ideas are: > > - Object-oriented work: x is an object. An object has properties. > Propositions are relations between properties of objects and other > properties of objects. > - To prove "for all" type propositions, we create a new object with > minimalistic properties (or nonexistent, depends...) and prove what's > needed on that object. > - To prove "exists" type propositions, we look at the object which is the > set in which the existence is seeked, and prove on it. > - We also need actions/functions aside from the > properties/relations/predicates. > - If we want second order, the functions need to be objects too. Maybe > properties should be objects? > > Now this isn't enough. Still problems, mainly run-time related, same as > with the previous version of this project... So we use heuristics, and So > the final and most important idea: > > - Psychologistic approach: what heuristic do WE use (subconciously and > otherwise) when we try to prove a theorem. > > That's it for today, folks. > We'll continue working. > If any of you has anything to contribute (other than a headache), please > do. > > - Yonatan. > > > >