source: src/ERTL/Interference.ma @ 3014

Last change on this file since 3014 was 3014, checked in by tranquil, 7 years ago

ERTL to ERTLptr pass suppressed (it introduced a bug in the later ERTLptr to LTL), and integrated in a single ERTToLTL pass like before

File size: 926 bytes
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1include "ERTL/liveness.ma".
2
3inductive decision: Type[0] ≝
4  | decision_spill: nat → decision
5  | decision_colour: Register → decision.
6
7(* prop_colouring is the non interferece
8   prop_colouring 2 and 3 together say that spilled_no is the number of spilled
9   registers *)
10record coloured_graph (before: valuation register_lattice): Type[1] ≝
11{ colouring: vertex → decision
12; spilled_no: nat
13; prop_colouring: ∀l. ∀v1, v2: vertex.v1 ≠v2 →
14  lives v1 (before l) → lives v2 (before l) → colouring v1 ≠ colouring v2
15; prop_spilled_no: (*CSC: the exist-guarded premise is just to make the proof more general *)
16   ∀v1:vertex. (∃l. bool_to_Prop (lives v1 (before l))) → ∀i. colouring v1 = decision_spill i → i < spilled_no
17}.
18
19definition coloured_graph_computer ≝
20 ∀globals.
21  ∀fn:joint_internal_function ERTL globals.
22   ∀liveafter.
23    coloured_graph (livebefore globals fn liveafter).
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