isabelle: src/HOL/TLA/Buffer/Buffer.ML@3377a830b727 (annotated)

17309 c43ed29bd197 converted to Isar theory format; wenzelm parents: 14396 diff changeset	1	(*
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	2	File: Buffer.ML
17309 c43ed29bd197 converted to Isar theory format; wenzelm parents: 14396 diff changeset	3	ID: $Id$
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	4	Author: Stephan Merz
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	5	Copyright: 1997 University of Munich
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	6
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	7	Simple FIFO buffer (theorems and proofs)
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	8	*)
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	9
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	10	(* ---------------------------- Data lemmas ---------------------------- *)
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	11
17309 c43ed29bd197 converted to Isar theory format; wenzelm parents: 14396 diff changeset	12	(FIXME: move to theory List? Maybe as (tl xs = xs) = (xs = [])"?)
14396 011a2a49d303 removed a reference to the ML structure List.thy paulson parents: 13601 diff changeset	13	Goal "xs ~= [] --> tl xs ~= xs";
4089 96fba19bcbe2 isatool fixclasimp; wenzelm parents: 3861 diff changeset	14	by (auto_tac (claset(), simpset() addsimps [neq_Nil_conv]));
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	15	qed_spec_mp "tl_not_self";
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	16
6255 db63752140c7 updated (Stephan Merz); wenzelm parents: 5525 diff changeset	17	Addsimps [tl_not_self];
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	18
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	19	(* ---------------------------- Action lemmas ---------------------------- *)
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	20
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	21	(* Dequeue is visible *)
13601 fd3e3d6b37b2 Adapted to new simplifier. berghofe parents: 9517 diff changeset	22	Goalw [angle_def,Deq_def] "\|- <Deq ic q oc>_(ic,q,oc) = Deq ic q oc";
fd3e3d6b37b2 Adapted to new simplifier. berghofe parents: 9517 diff changeset	23	by (REPEAT (Safe_tac THEN Asm_lr_simp_tac 1));
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	24	qed "Deq_visible";
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	25
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	26	(* Enabling condition for dequeue -- NOT NEEDED *)
5069 3ea049f7979d isatool fixgoal; wenzelm parents: 4089 diff changeset	27	Goalw [temp_rewrite Deq_visible]
6255 db63752140c7 updated (Stephan Merz); wenzelm parents: 5525 diff changeset	28	"!!q. basevars (ic,q,oc) ==> \|- Enabled (<Deq ic q oc>_(ic,q,oc)) = (q ~= #[])";
17309 c43ed29bd197 converted to Isar theory format; wenzelm parents: 14396 diff changeset	29	by (force_tac (claset() addSEs [base_enabled,enabledE],
9517 f58863b1406a tuned version by Stephan Merz (unbatchified etc.); wenzelm parents: 6255 diff changeset	30	simpset() addsimps [Deq_def]) 1);
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	31	qed "Deq_enabled";
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	32
82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	33	(* For the left-to-right implication, we don't need the base variable stuff *)
17309 c43ed29bd197 converted to Isar theory format; wenzelm parents: 14396 diff changeset	34	Goalw [temp_rewrite Deq_visible]
6255 db63752140c7 updated (Stephan Merz); wenzelm parents: 5525 diff changeset	35	"\|- Enabled (<Deq ic q oc>_(ic,q,oc)) --> (q ~= #[])";
4089 96fba19bcbe2 isatool fixclasimp; wenzelm parents: 3861 diff changeset	36	by (auto_tac (claset() addSEs [enabledE], simpset() addsimps [Deq_def]));
3807 82a99b090d9d A formalization of TLA in HOL -- by Stephan Merz; wenzelm parents: diff changeset	37	qed "Deq_enabledE";

author	wenzelm
	Sun, 01 Oct 2006 18:29:28 +0200
changeset 20810	3377a830b727
parent 17309	c43ed29bd197
permissions	-rw-r--r--