X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLOGIC%2FNTrack%2Fdefs.ma;h=15560f19c1417607fab0cf3b30d4ca9159a9f573;hb=434258767bd3307ea05d9eab48892a6fff73888d;hp=a9c4479ac328a4743d3699e8cb9077340c444a22;hpb=4f1bd2790a4448a8ebfbe67eb8baa481c124745c;p=helm.git diff --git a/helm/software/matita/contribs/LOGIC/NTrack/defs.ma b/helm/software/matita/contribs/LOGIC/NTrack/defs.ma index a9c4479ac..15560f19c 100644 --- a/helm/software/matita/contribs/LOGIC/NTrack/defs.ma +++ b/helm/software/matita/contribs/LOGIC/NTrack/defs.ma @@ -12,27 +12,27 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/LOGIC/Track/defs". -(* PROOF TREE TRACKS + +(* NORMAL 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_impr: \forall P,r. \forall a,b:Formula. - Track P r (pair a b) \to - Track P (impr r) (pair lleaf (impl a b)) - | track_impi: \forall P,Q,p,q,r,A,B,D,i. \forall a,b:Formula. - Track P p (pair A a) \to - Track P q (pair b B) \to - Track Q r (pair lleaf D) \to - Insert (pair A B) i P Q \to - Track P (impi p q r) (pair (impl a b) D) +(* +inductive NTrack: Context \to Proof \to Sequent \to Prop \def + | ntrack_proj: \forall P,Q,S,i. Insert S i P Q \to NTrack Q (lref i) S + | ntrack_posr: \forall P,h. + NTrack P (parx h) (pair (posr h) (posr h)) + | ntrack_impw: \forall P,r,D,a,b. NTrack P r (pair lleaf D) \to + NTrack P (impw r) (pair (impl a b) D) + | ntrack_impr: \forall P,r. \forall a,b:Formula. + NTrack P r (pair a b) \to + NTrack P (impr r) (pair lleaf (impl a b)) + | ntrack_impi: \forall P,Q,p,q,r,A,B,D,i. \forall a,b:Formula. + NTrack P p (pair A a) \to + NTrack P q (pair b B) \to + NTrack Q r (pair lleaf D) \to + Insert (pair A B) i P Q \to + NTrack P (impi p q r) (pair (impl a b) D) . +*)