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diff --git a/matita/matita/lib/turing/simple_machines.ma b/matita/matita/lib/turing/simple_machines.ma
index 2cfaf7c7acbef0ce8f3ac2abe290fa07f1e63138..bc15ee1d0c75890c3c20fccbc2170d74c0f15365 100644 (file)
--- a/matita/matita/lib/turing/simple_machines.ma
+++ b/matita/matita/lib/turing/simple_machines.ma
@@ -214,63 +214,5 @@ qed.
 
 
 
-(********************** look_ahead test *************************)
-
-definition mtestR ≝ λsig,i,n,test.
-  (mmove i sig n R) · 
-    (ifTM ?? (inject_TM ? (test_char ? test) n i)
-    (single_finalTM ?? (mmove i sig n L))
-    (mmove i sig n L) tc_true).
-
-
-(* underspecified *)
-definition RmtestR_true ≝ λsig,i,n,test.λt1,t2:Vector ? n.
-  ∀ls,c,c1,rs.
-    nth i ? t1 (niltape ?) = midtape sig ls c (c1::rs) →
-    t1 = t2 ∧ (test c1 = true).
-
-definition RmtestR_false ≝ λsig,i,n,test.λt1,t2:Vector ? n.
-  ∀ls,c,c1,rs.
-    nth i ? t1 (niltape ?) = midtape sig ls c (c1::rs) →
-    t1 = t2 ∧ (test c1 = false).   
-    
-definition mtestR_acc: ∀sig,i,n,test.states ?? (mtestR sig i n test). 
-#sig #i #n #test @inr @inr @inl @inr @start_nop 
-qed.
 
-lemma sem_mtestR: ∀sig,i,n,test. i ≤ n →
-  mtestR sig i n test ⊨ 
-    [mtestR_acc sig i n test: 
-       RmtestR_true sig  i (S n) test, RmtestR_false sig i (S n) test].
-#sig #i #n #test #Hlein
-@(acc_sem_seq_app sig n … (sem_move_multi … R Hlein)
-   (acc_sem_if sig n ????????
-     (sem_test_char_multi sig test n i Hlein)
-     (sem_move_multi … L Hlein)
-     (sem_move_multi … L Hlein)))
-  [#t1 #t2 #t3 whd in ⊢ (%→?); #Hmove * #tx * whd in  ⊢ (%→?); * *
-   #cx #Hcx #Htx #Ht2 #ls #c #c1 #rs #Ht1
-   >Ht1 in Hmove; whd in match (tape_move ???); #Ht3 
-   >Ht3 in Hcx; >nth_change_vec [|@le_S_S //] * whd in ⊢ (??%?→?);
-   #Hsome destruct (Hsome) #Htest % [2:@Htest]
-   >Htx in Ht2; whd in ⊢ (%→?); #Ht2 @(eq_vec … (niltape ?))
-   #j #lejn cases (true_or_false (eqb i j)) #Hij
-    [lapply lejn <(eqb_true_to_eq … Hij) #lein >Ht2 >nth_change_vec [2://]
-     >Ht3 >nth_change_vec >Ht1 // 
-    |lapply (eqb_false_to_not_eq … Hij) #Hneq >Ht2 >nth_change_vec_neq [2://]
-     >Ht3 >nth_change_vec_neq //
-    ]
-  |#t1 #t2 #t3 whd in ⊢ (%→?); #Hmove * #tx * whd in  ⊢ (%→?); *
-   #Hcx #Heqtx #Htx #ls #c #c1 #rs #Ht1
-   >Ht1 in Hmove; whd in match (tape_move ???); #Ht3 
-   >Ht3 in Hcx; >nth_change_vec [2:@le_S_S //] #Hcx lapply (Hcx ? (refl ??)) 
-   #Htest % // @(eq_vec … (niltape ?))
-   #j #lejn cases (true_or_false (eqb i j)) #Hij
-    [lapply lejn <(eqb_true_to_eq … Hij) #lein >Htx >nth_change_vec [2://]
-     >Heqtx >Ht3 >nth_change_vec >Ht1 // 
-    |lapply (eqb_false_to_not_eq … Hij) #Hneq >Htx >nth_change_vec_neq [2://]
-     >Heqtx >Ht3 >nth_change_vec_neq //
-    ]
-  ]
-qed.