| 1 | include "basics/types.ma". |
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| 2 | include "basics/list.ma". |
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| 3 | include "common/Graphs.ma". |
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| 4 | include "common/Registers.ma". |
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| 5 | |
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| 6 | definition interference_graph ≝ graph label. |
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| 7 | axiom vertex: Type[0]. |
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| 8 | axiom vertex_set: Type[0]. |
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| 9 | axiom vertex_map: Type[0]. |
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| 10 | |
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| 11 | axiom ig_create: list register → interference_graph. |
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| 12 | axiom ig_mki: interference_graph → (list register) × (list Register) → |
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| 13 | (list register) × (list Register) → interference_graph. |
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| 14 | axiom ig_mkiph: interference_graph → list register → list Register → |
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| 15 | interference_graph. |
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| 16 | axiom ig_mkppp: interference_graph → register → register → interference_graph. |
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| 17 | axiom ig_mkpph: interference_graph → register → Register → interference_graph. |
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| 18 | axiom ig_coalesce: interference_graph → vertex → vertex → interference_graph. |
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| 19 | axiom ig_coalesceh: interference_graph → vertex → Register → interference_graph. |
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| 20 | axiom ig_remove: interference_graph → vertex → interference_graph. |
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| 21 | axiom ig_freeze: interference_graph → vertex → interference_graph. |
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| 22 | axiom ig_restrict: interference_graph → (vertex → bool) → interference_graph. |
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| 23 | axiom ig_droph: interference_graph → interference_graph. |
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| 24 | axiom ig_lookup: interference_graph → register → vertex. |
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| 25 | axiom ig_registers: interference_graph → vertex → list register. |
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| 26 | axiom ig_degree: interference_graph → vertex → nat. |
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| 27 | axiom ig_lowest: interference_graph → option (vertex × nat). |
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| 28 | axiom ig_lowest_non_move_related: interference_graph → option (vertex × nat). |
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| 29 | axiom ig_minimum: ∀A: Type[0]. ∀ord: A → A → order. (vertex → A) → |
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| 30 | interference_graph → option vertex. |
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| 31 | axiom ig_fold: ∀A: Type[0]. (vertex → A → A) → interference_graph → A → A. |
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| 32 | axiom ig_ipp: interference_graph → vertex → list vertex. |
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| 33 | axiom ig_iph: interference_graph → vertex → list Register. |
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| 34 | axiom ig_ppp: interference_graph → vertex → list vertex. |
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| 35 | axiom ig_pph: interference_graph → vertex → list Register. |
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| 36 | definition ig_ppedge ≝ vertex × vertex. |
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| 37 | axiom ig_pppick: interference_graph → (ig_ppedge → bool) → option ig_ppedge. |
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| 38 | definition ig_phedge ≝ vertex × Register. |
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| 39 | axiom ig_phpick: interference_graph → (ig_phedge → bool) → option ig_phedge. |
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