refactor(dissertation): cleanup VDM model

This commit is contained in:
Anthony Berg 2024-05-22 15:53:33 +01:00
parent 443255342c
commit 19aaeedf27
4 changed files with 10 additions and 127 deletions

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@ -35,7 +35,6 @@ types
--@doc The state a switch can be in
SwitchState = <OFF> | <MIDDLE> | <ON>;
--@LF why have a type kist as a rename?
ItemState = SwitchState; --@TODO | Button | ...
--@doc A switch, with the possible states it can be in, and the state that it is in
@ -93,10 +92,8 @@ types
--@doc Item of a checklist, e.g. Landing gear down
ChecklistItem ::
--@LF again, empty string here doesn't make sense.
procedure : Dataref
type : ItemType
--TODO Check is not only SwitchState
check : SwitchState
checked : bool;
@ -107,15 +104,12 @@ types
inv i == i.item.type = i.checklistItem.type;
--@doc A section of a checklist, e.g. Landing Checklist
--@LF shouldn't this be non-empty? What's the point to map a checklist name to an empty procedure? Yes.
Procedure = seq1 of ChecklistItem
inv p ==
--@LF the "trick" for "false not in set S" is neat. It forces a full evaluation, rather than short circuited (i.e. stops at first false).
-- I presume this was intended.
false not in set {
let first = p(x-1).checked, second = p(x).checked in
--@LF boolean values don't need equality check
second => first--((first = true) and (second = false))
second => first
| x in set {2,...,len p}};
functions
@ -123,36 +117,16 @@ functions
--@doc Finds the index of the next item in the procedure that needs to be completed
procedure_next_item_index: Procedure -> nat1
procedure_next_item_index(p) ==
hd [ x | x in set {1,...,len p} & not p(x).checked ]--p(x).checked = false]
hd [ x | x in set {1,...,len p} & p(x).checked = false ]
pre
-- Checks procedure has not already been completed
not procedure_completed(p)--procedure_completed(p) = false
procedure_completed(p) = false
post
-- Checks that the index of the item is the next one to be completed
--@LF your def is quite confusing (to me)
--@LF how do you know that RESULT in inds p? Well, the definition above okay.
-- but you can't know whether p(RESULT-1) will! What if RESULT=1? p(RESULT-1)=p(0) which is invalid!
(not p(RESULT).checked)
and
(RESULT > 1 => p(RESULT-1).checked)
--p(RESULT).checked = false
--and if RESULT > 1 then
-- p(RESULT-1).checked = true
--else
-- true
;
(RESULT > 1 => p(RESULT-1).checked);
-- --@doc Checks if all the procedures have been completed
-- check_all_proc_completed: Checklist -> bool
-- check_all_proc_completed(c) ==
-- false not in set { procedure_completed(c(x)) | x in set {1,...,len c} };
-- --@doc Gives the index for the next procedure to complete
-- next_procedure: Checklist -> nat1
-- next_procedure(c) ==
-- hd [ x | x in set {1,...,len c} & not procedure_completed(c(x))]
-- post
-- RESULT <= len c;
--@doc Checks if the procedure has been completed
procedure_completed: Procedure -> bool
@ -162,19 +136,13 @@ functions
--@doc Checks if the next item in the procedure has been completed
check_proc_item_complete: Procedure * Aircraft -> bool
check_proc_item_complete(p, a) ==
--@LF here you have a nice lemma to prove: procedure_next_item_index(p) in set inds p!
-- I think that's always true
let procItem = p(procedure_next_item_index(p)),
--@LF here you can't tell whether this will be true? i.e. procItem.procedure in set dom a.items?
item = a.items(procItem.procedure) in
--TODO need to be able to check for different types of Items
procItem.check = item.object.position
pre
procedure_completed(p) = false
--@LF perhaps add
--and
--p(procedure_next_item_index(p)).procedure in set dom a.items?
and
p(procedure_next_item_index(p)).procedure in set dom a.items
;
--@doc Marks next item in procedure as complete
@ -226,7 +194,6 @@ functions
--@doc Moves any type of Item
move_item: ItemObject * ItemState -> ItemObject
move_item(i, s) ==
-- if is_Switch(i) then (implement later)
let switch: Switch = i.object in
if check_switch_onoff(switch) and (s <> <MIDDLE>) and switch.middlePosition then
mk_ItemObject(i.type, move_switch(move_switch(switch, <MIDDLE>), s))
@ -235,7 +202,6 @@ functions
pre
wf_item_itemstate(i, s)
and not check_item_in_position(i, s);
-- and wf_switch_move(i.object, s);
--@doc Moves a specific switch in the aircraft
move_switch: Switch * SwitchState -> Switch
@ -260,7 +226,6 @@ functions
--@doc Checks if the item is already in position for the desired state for that item
check_item_in_position: ItemObject * ItemState -> bool
check_item_in_position(i, s) ==
-- if is_Switch(i) then (implement later)
i.object.position = s
pre
wf_item_itemstate(i,s);
@ -268,10 +233,7 @@ functions
--@doc Checks if the Item.object is the same type for the ItemState
wf_item_itemstate: ItemObject * ItemState -> bool
wf_item_itemstate(i, s) ==
(is_Switch(i.object) and is_SwitchState(s) and i.type = <SWITCH>)
--TODO check that the item has not already been completed before moving item
--TODO add other types of Items
;
(is_Switch(i.object) and is_SwitchState(s) and i.type = <SWITCH>);
--@doc Checks if the move of the Switch is a valid
wf_switch_move: Switch * SwitchState -> bool
@ -290,83 +252,3 @@ functions
end Checklist
/*
//@LF always a good idea to run "qc" on your model. Here is its output. PO 21 and 22 show a problem.
//@LF silly me, this was my encoding with the cases missing one pattern :-). I can see yours has no issues. Good.
> qc
PO #1, PROVABLE by finite types in 0.002s
PO #2, PROVABLE by finite types in 0.0s
PO #3, PROVABLE by finite types in 0.0s
PO #4, PROVABLE by finite types in 0.0s
PO #5, PROVABLE by finite types in 0.0s
PO #6, PROVABLE by finite types in 0.0s
PO #7, PROVABLE by finite types in 0.0s
PO #8, PROVABLE by finite types in 0.0s
PO #9, PROVABLE by finite types in 0.001s
PO #10, PROVABLE by finite types in 0.001s
PO #11, PROVABLE by direct (body is total) in 0.003s
PO #12, PROVABLE by witness s = mk_Switch(<MIDDLE>, true) in 0.001s
PO #13, PROVABLE by direct (body is total) in 0.001s
PO #14, PROVABLE by witness k = mk_Knob(1, [-2]) in 0.0s
PO #15, PROVABLE by direct (body is total) in 0.0s
PO #16, PROVABLE by witness t = 0 in 0.0s
PO #17, PROVABLE by direct (body is total) in 0.001s
PO #18, PROVABLE by witness t = mk_Throttle(0, 0) in 0.001s
PO #19, PROVABLE by direct (body is total) in 0.002s
PO #20, PROVABLE by witness i = mk_ItemObject(<KNOB>, mk_Knob(1, [-1])) in 0.002s
PO #21, FAILED in 0.002s: Counterexample: type = <BUTTON>, object = mk_Knob(1, [-1])
Causes Error 4004: No cases apply for <BUTTON> in 'Checklist' (formal/checklist.vdmsl) at line 119:13
----
ItemObject': total function obligation in 'Checklist' (formal/checklist.vdmsl) at line 118:13
(forall mk_ItemObject'(type, object):ItemObject'! &
is_(inv_ItemObject'(mk_ItemObject'!(type, object)), bool))
PO #22, FAILED by direct in 0.005s: Counterexample: type = <BUTTON>
PO #23, PROVABLE by witness type = <KNOB>, object = mk_Knob(1, [-1]) in 0.002s
PO #24, PROVABLE by direct (body is total) in 0.001s
PO #25, PROVABLE by witness i = mk_ItemAndChecklistItem(mk_ItemObject(<KNOB>, mk_Knob(1, [-1])), mk_ChecklistItem([], <KNOB>, <MIDDLE>, true)) in 0.001s
PO #26, MAYBE in 0.003s
PO #27, MAYBE in 0.003s
PO #28, MAYBE in 0.002s
PO #29, PROVABLE by witness p = [mk_ChecklistItem([], <BUTTON>, <MIDDLE>, true)] in 0.001s
PO #30, MAYBE in 0.002s
PO #31, MAYBE in 0.001s
PO #32, MAYBE in 0.003s
PO #33, MAYBE in 0.002s
PO #34, MAYBE in 0.001s
PO #35, MAYBE in 0.002s
PO #36, MAYBE in 0.009s
PO #37, MAYBE in 0.008s
PO #38, MAYBE in 0.007s
PO #39, MAYBE in 0.009s
PO #40, MAYBE in 0.002s
PO #41, MAYBE in 0.001s
PO #42, MAYBE in 0.001s
PO #43, MAYBE in 0.002s
PO #44, MAYBE in 0.002s
PO #45, MAYBE in 0.003s
PO #46, MAYBE in 0.002s
PO #47, MAYBE in 0.002s
PO #48, MAYBE in 0.001s
PO #49, MAYBE in 0.001s
PO #50, MAYBE in 0.0s
PO #51, MAYBE in 0.0s
PO #52, MAYBE in 0.005s
PO #53, PROVABLE by trivial p in set (dom checklist) in 0.001s
PO #54, MAYBE in 0.006s
PO #55, MAYBE in 0.0s
PO #56, MAYBE in 0.001s
PO #57, MAYBE in 0.001s
PO #58, MAYBE in 0.001s
PO #59, MAYBE in 0.001s
PO #60, MAYBE in 0.001s
PO #61, MAYBE in 0.001s
PO #62, MAYBE in 0.0s
PO #63, PROVABLE by finite types in 0.001s
PO #64, PROVABLE by finite types in 0.001s
PO #65, PROVABLE by finite types in 0.001s
PO #66, MAYBE in 0.001s
>
*/

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@ -2,7 +2,6 @@
\begin{document}
\section{SQL Schemas}
\begin{listing}[!htbp]
\inputminted[
linenos,

Binary file not shown.

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@ -80,6 +80,8 @@
\author{Anthony Berg (200871682)\\
Supervisor: Leo Freitas\\\\
CSC3094 - BSc Computer Science (G400)\\
Newcastle University\\\\
Word Count: \wordcount}
\title{Testing Quick Reference Handbooks in Flight Simulators}
@ -135,7 +137,7 @@ with areas of improvement for me throughout the project.
\chapter{Formal Model}
\subfile{chapters/appendix/formal.tex}
\chapter{Database}
\chapter{Database Schemas}
\subfile{chapters/appendix/database.tex}
% References