| 1 | (**************************************************************************) |
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| 2 | (* ___ *) |
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| 3 | (* ||M|| *) |
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| 4 | (* ||A|| A project by Andrea Asperti *) |
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| 5 | (* ||T|| *) |
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| 6 | (* ||I|| Developers: *) |
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| 7 | (* ||T|| The HELM team. *) |
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| 8 | (* ||A|| http://helm.cs.unibo.it *) |
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| 9 | (* \ / *) |
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| 10 | (* \ / This file is distributed under the terms of the *) |
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| 11 | (* v GNU General Public License Version 2 *) |
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| 12 | (* *) |
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| 13 | (**************************************************************************) |
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| 14 | |
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| 15 | include "joint/linearise.ma". |
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| 16 | include "common/StatusSimulation.ma". |
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| 17 | include "joint/Traces.ma". |
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| 18 | include "joint/SemanticUtils.ma". |
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| 19 | |
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| 20 | definition graph_abstract_status: |
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| 21 | ∀p:unserialized_params. |
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| 22 | (∀F.more_sem_unserialized_params p F) → |
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| 23 | joint_program (mk_graph_params p) → |
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| 24 | abstract_status |
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| 25 | ≝ |
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| 26 | λp,p',prog. |
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| 27 | joint_abstract_status |
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| 28 | (mk_prog_params |
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| 29 | (make_sem_graph_params (mk_graph_params p) (p' ?)) |
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| 30 | prog ⊥). |
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| 31 | @daemon (* I/O, TODO *) |
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| 32 | qed. |
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| 33 | |
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| 34 | definition lin_abstract_status: |
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| 35 | ∀p:unserialized_params. |
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| 36 | (∀F.more_sem_unserialized_params p F) → |
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| 37 | joint_program (mk_lin_params p) → |
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| 38 | abstract_status |
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| 39 | ≝ |
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| 40 | λp,p',prog. |
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| 41 | joint_abstract_status |
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| 42 | (mk_prog_params |
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| 43 | (make_sem_lin_params (mk_lin_params p) (p' ?)) |
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| 44 | prog ⊥). |
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| 45 | @daemon (* I/O, TODO *) |
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| 46 | qed. |
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| 47 | |
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| 48 | definition linearise_status_rel: |
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| 49 | ∀p,p',graph_prog. |
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| 50 | let lin_prog ≝ linearise ? graph_prog in |
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| 51 | status_rel |
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| 52 | (graph_abstract_status p p' graph_prog) |
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| 53 | (lin_abstract_status p p' lin_prog). |
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| 54 | cases daemon |
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| 55 | qed. |
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| 56 | |
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| 57 | lemma linearise_ok: |
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| 58 | ∀p,p',graph_prog. |
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| 59 | let lin_prog ≝ linearise ? graph_prog in |
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| 60 | status_simulation |
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| 61 | (graph_abstract_status p p' graph_prog) |
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| 62 | (lin_abstract_status p p' lin_prog) ≝ |
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| 63 | λp,p',graph_prog. mk_status_simulation … (linearise_status_rel p p' graph_prog) …. |
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| 64 | cases daemon |
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| 65 | qed. |
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