X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FLOGIC%2FTrack%2Fdefs.ma;fp=matita%2Fcontribs%2FLOGIC%2FTrack%2Fdefs.ma;h=ef83e6706ce6807eba8d2f09bf3914027aa9e1b2;hb=bfb5017ff7198b55a078c090f9cd23e3cbedaff4;hp=0000000000000000000000000000000000000000;hpb=20f2345a9a641c31a12ee77bf7fcd2e4e439b18e;p=helm.git diff --git a/matita/contribs/LOGIC/Track/defs.ma b/matita/contribs/LOGIC/Track/defs.ma new file mode 100644 index 000000000..ef83e6706 --- /dev/null +++ b/matita/contribs/LOGIC/Track/defs.ma @@ -0,0 +1,43 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +set "baseuri" "cic:/matita/LOGIC/Track/defs". + +(* PROOF TREE TRACKS +*) + +include "datatypes/Proof.ma". +include "Insert/defs.ma". + +inductive Track: Context \to Proof \to Sequent \to Prop \def + | track_proj: \forall P,Q,S,i. Insert S i P Q \to Track Q (lref i) S + | track_posr: \forall P,h. + Track P (parx h) (pair (posr h) (posr h)) + | track_impw: \forall P,r,D,a,b. Track P r (pair lleaf D) \to + Track P (impw r) (pair (impl a b) D) + | track_impi: \forall P,r. \forall a,b:Formula. + Track P r (pair a b) \to + Track P (impi r) (pair lleaf (impl a b)) + | track_impe: \forall P,Q,r,D,i. \forall a,b:Formula. + Track Q r (pair lleaf D) \to + Insert (pair a b) i P Q \to + Track P (impe r) (pair (impl a b) D) +(* + | track_impe: \forall P,p,q,r,A,B,D,a,b. + Track P p (pair A (rinj a)) \to + Track P q (pair (linj b) B) \to + Track (abst P (pair A B)) r (pair lleaf D) \to + Track P (impe p q r) (pair (linj (impl a b)) D) +*) +.