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* This file is part of HOL-TestGen.
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*
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* Copyright (c) 2005-2012 ETH Zurich, Switzerland
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* 2008-2014 Achim D. Brucker, Germany
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* 2009-2014 Université Paris-Sud, France
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* 2008-2015 Achim D. Brucker, Germany
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* 2009-2017 Université Paris-Sud, France
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* 2015-2017 The University of Sheffield, UK
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*
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* All rights reserved.
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*
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@ -38,13 +39,12 @@
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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******************************************************************************)
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(* $Id: NormalisationTestSpecification.thy 10879 2014-10-26 11:35:31Z brucker $ *)
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section {* Policy Transformation for Testing *}
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theory
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NormalisationTestSpecification
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imports
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Normalisation
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imports
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Normalisation
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begin
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text{*
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@ -72,41 +72,43 @@ fun PUTList :: "('a \<mapsto> 'b) \<Rightarrow> 'a \<Rightarrow> ('a \<mapsto> '
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lemma distrPUTL1: "x \<in> dom P \<Longrightarrow> (list2policy PL) x = P x
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\<Longrightarrow> (PUTList PUT x PL \<Longrightarrow> (PUT x = P x))"
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apply (induct PL)
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apply (auto simp: list2policy_def dom_def)
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done
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apply (auto simp: list2policy_def dom_def)
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done
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lemma PUTList_None: "x \<notin> dom (list2policy list) \<Longrightarrow> PUTList PUT x list"
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apply (induct list)
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apply (auto simp: list2policy_def dom_def)
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done
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apply (auto simp: list2policy_def dom_def)
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done
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lemma PUTList_DomMT:
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"(\<forall>y\<in>set list. dom a \<inter> dom y = {}) \<Longrightarrow> x \<in> (dom a) \<Longrightarrow> x \<notin> dom (list2policy list)"
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apply (induct list)
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apply (auto simp: dom_def list2policy_def)
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done
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apply (auto simp: dom_def list2policy_def)
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done
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lemma distrPUTL2:
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"x \<in> dom P \<Longrightarrow> (list2policy PL) x = P x \<Longrightarrow> disjDom PL \<Longrightarrow> (PUT x = P x) \<Longrightarrow> PUTList PUT x PL "
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apply (induct PL)
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apply (simp_all add: list2policy_def)
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apply (auto)
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apply (case_tac "x \<in> dom a")
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apply (case_tac "list2policy PL x = P x")
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apply (simp add: list2policy_def)
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apply (rule PUTList_None)
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apply (rule_tac a = a in PUTList_DomMT)
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apply (simp_all add: list2policy_def dom_def)
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done
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apply (simp_all add: list2policy_def)
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apply (auto)[1]
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subgoal for a PL p
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apply (case_tac "x \<in> dom a")
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apply (case_tac "list2policy PL x = P x")
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apply (simp add: list2policy_def)
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apply (rule PUTList_None)
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apply (rule_tac a = a in PUTList_DomMT)
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apply (simp_all add: list2policy_def dom_def)
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done
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done
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lemma distrPUTL:
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"\<lbrakk>x \<in> dom P; (list2policy PL) x = P x; disjDom PL\<rbrakk> \<Longrightarrow> (PUT x = P x) = PUTList PUT x PL "
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apply (rule iffI)
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apply (rule distrPUTL2)
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apply (simp_all)
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apply (rule distrPUTL2)
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apply (simp_all)
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apply (rule_tac PL = PL in distrPUTL1)
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apply (auto)
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done
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apply (auto)
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done
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text{*
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It makes sense to cater for the common special case where the normalisation returns a list
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@ -115,7 +117,7 @@ text{*
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*}
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fun gatherDomain_aux where
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"gatherDomain_aux (x#xs) = (dom x \<union> (gatherDomain_aux xs))"
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"gatherDomain_aux (x#xs) = (dom x \<union> (gatherDomain_aux xs))"
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|"gatherDomain_aux [] = {}"
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definition gatherDomain where "gatherDomain p = (gatherDomain_aux (butlast p))"
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@ -129,16 +131,16 @@ definition disjDomGD where "disjDomGD p = disjDom (butlast p)"
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lemma distrPUTLG1: "\<lbrakk>x \<in> dom P; (list2policy PL) x = P x; PUTListGD PUT x PL\<rbrakk> \<Longrightarrow> PUT x = P x"
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apply (induct PL)
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apply (simp_all add: domIff PUTListGD_def disjDomGD_def gatherDomain_def list2policy_def)
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apply (simp_all add: domIff PUTListGD_def disjDomGD_def gatherDomain_def list2policy_def)
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apply (auto simp: dom_def domIff split: if_split_asm)
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done
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done
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lemma distrPUTLG2:
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"PL \<noteq> [] \<Longrightarrow> x \<in> dom P \<Longrightarrow> (list2policy (PL)) x = P x \<Longrightarrow> disjDomGD PL \<Longrightarrow>
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(PUT x = P x) \<Longrightarrow> PUTListGD PUT x (PL)"
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apply (simp add: PUTListGD_def disjDomGD_def gatherDomain_def list2policy_def)
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apply (induct PL)
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apply (auto)
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apply (auto)
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apply (metis PUTList_DomMT PUTList_None domI)
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done
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@ -146,12 +148,12 @@ lemma distrPUTLG:
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"\<lbrakk>x \<in> dom P; (list2policy PL) x = P x; disjDomGD PL; PL \<noteq> []\<rbrakk> \<Longrightarrow>
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(PUT x = P x) = PUTListGD PUT x PL "
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apply (rule iffI)
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apply (rule distrPUTLG2)
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apply (simp_all)
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apply (rule distrPUTLG2)
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apply (simp_all)
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apply (rule_tac PL = PL in distrPUTLG1)
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apply (auto)
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done
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apply (auto)
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done
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end
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13
UPF/UPF.thy
13
UPF/UPF.thy
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@ -6,8 +6,9 @@
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* This file is part of HOL-TestGen.
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*
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* Copyright (c) 2005-2012 ETH Zurich, Switzerland
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* 2008-2014 Achim D. Brucker, Germany
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* 2009-2014 Université Paris-Sud, France
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* 2008-2015 Achim D. Brucker, Germany
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* 2009-2017 Université Paris-Sud, France
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* 2015-2017 The University of Sheffield, UK
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*
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* All rights reserved.
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*
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@ -44,10 +45,10 @@
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section {* Putting Everything Together: UPF *}
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theory
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UPF
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imports
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Normalisation
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NormalisationTestSpecification
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Analysis
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imports
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Normalisation
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NormalisationTestSpecification
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Analysis
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begin
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text{*
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