src/HOL/TLA/Buffer/Buffer.ML
author urbanc
Tue, 13 Dec 2005 18:11:21 +0100
changeset 18396 b3e7da94b51f
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permissions -rw-r--r--
added a fresh_left lemma that contains all instantiation for the various atom-types.
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(*
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    File:        Buffer.ML
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    ID:          $Id$
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    Author:      Stephan Merz
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    Copyright:   1997 University of Munich
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    Simple FIFO buffer (theorems and proofs)
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*)
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(* ---------------------------- Data lemmas ---------------------------- *)
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(*FIXME: move to theory List? Maybe as (tl xs = xs) = (xs = [])"?*)
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Goal "xs ~= [] --> tl xs ~= xs";
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by (auto_tac (claset(), simpset() addsimps [neq_Nil_conv]));
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qed_spec_mp "tl_not_self";
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Addsimps [tl_not_self];
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(* ---------------------------- Action lemmas ---------------------------- *)
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(* Dequeue is visible *)
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Goalw [angle_def,Deq_def] "|- <Deq ic q oc>_(ic,q,oc) = Deq ic q oc";
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by (REPEAT (Safe_tac THEN Asm_lr_simp_tac 1));
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qed "Deq_visible";
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(* Enabling condition for dequeue -- NOT NEEDED *)
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Goalw [temp_rewrite Deq_visible]
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   "!!q. basevars (ic,q,oc) ==> |- Enabled (<Deq ic q oc>_(ic,q,oc)) = (q ~= #[])";
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by (force_tac (claset() addSEs [base_enabled,enabledE],
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               simpset() addsimps [Deq_def]) 1);
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qed "Deq_enabled";
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(* For the left-to-right implication, we don't need the base variable stuff *)
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Goalw [temp_rewrite Deq_visible]
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   "|- Enabled (<Deq ic q oc>_(ic,q,oc)) --> (q ~= #[])";
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by (auto_tac (claset() addSEs [enabledE], simpset() addsimps [Deq_def]));
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qed "Deq_enabledE";