A survey on Interactive Theorem Proving
... provide communication with other users and systems; the essential point, however, is that this new medium is active, whereas paper, for instance, is not. A.Asperti ...
... provide communication with other users and systems; the essential point, however, is that this new medium is active, whereas paper, for instance, is not. A.Asperti ...
Hilbert`s Program Then and Now - Philsci
... (see Ch. 11) show that the program as originally envisaged by Hilbert cannot be carried out. Although Hilbert’s own project for the foundation of mathematics was ultimately unsuccessful, the project itself and technical advances made in its pursuit have had an enormous impact on logic and the found ...
... (see Ch. 11) show that the program as originally envisaged by Hilbert cannot be carried out. Although Hilbert’s own project for the foundation of mathematics was ultimately unsuccessful, the project itself and technical advances made in its pursuit have had an enormous impact on logic and the found ...
Henkin`s Method and the Completeness Theorem
... theory T (pick your favorite one!) is sound and complete in the sense that everything that we can derive from T is true in all models of T , and everything that is true in all models of T is in fact derivable from T . This is a very strong result indeed. One possible reading of it is that the first- ...
... theory T (pick your favorite one!) is sound and complete in the sense that everything that we can derive from T is true in all models of T , and everything that is true in all models of T is in fact derivable from T . This is a very strong result indeed. One possible reading of it is that the first- ...