ma2178_Logikk

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Tore Gaupseth

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From users who are not members of Tore's workspace :

Bill Foster

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Ready to use

8 years, 9 months ago

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Bill Foster 8 years, 9 months ago

Gave some feedback: Ready to use

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Tore Gaupseth 9 years, 3 months ago

Created this as a copy of Truth tables 3 (v2).

Name	Status	Author	Last Modified
Truth tables 3 (v2)	Ready to use	Bill Foster	01/06/2016 09:47
ma2178_Logikk	Ready to use	Tore Gaupseth	05/06/2016 10:09

Question statement

Fyll inn S og F ved oppbygging av sannhetstabellen for

$((\var{a} \var{op} \var{b})\var{op1}(\var{a1} \var{op2} \var{b1}))\var{op4}(\var{a2} \var{op3} \var{b2}).$ Tast inn S for sann og F for falsk.

Give any introductory information the student needs.

			Name	Type	Generated Value

logic_symbol_list	list	[ "p", "q", "not p", "not q" ]
latex_symbol_list	list	List of 4 items
s	list	[ 1, 2, 2, 3, 1, 3 ]

			Name	Type	Generated Value

a	string	q
b	string	\neg p
op	string	\to
pre_ev1	list	[ false, true, true, true ]
ev1	list	[ "F", "S", "S", "S" ]

			Name	Type	Generated Value

a1	string	\neg p
b1	string	\neg q
op2	string	\lor
pre_ev2	list	[ false, true, true, true ]
ev2	list	[ "F", "S", "S", "S" ]

			Name	Type	Generated Value

p	list	[ true, true, false, false ]
q	list	[ true, false, true, false ]
disp	list	[ "S", "S", "F", "F" ]
disq	list	[ "S", "F", "S", "F" ]

			Name	Type	Generated Value

a2	string	q
b2	string	\neg q
op3	string	\land
pre_ev3	list	[ false, false, false, false ]
ev3	list	[ "F", "F", "F", "F" ]

			Name	Type	Generated Value

op1	string	\land
pre_t_value	list	[ false, true, true, true ]
t_value	list	[ "F", "S", "S", "S" ]

			Name	Type	Generated Value

			final_value	list	[ "S", "F", "F", "F" ]
			op4	string	\to

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
["p","q","not p","not q"]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ "p", "q", "not p", "not q" ]

This variable doesn't seem to be used anywhere.

Parts

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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$p$	$q$	$\var{a} \var{op} \var{b}$	$\var{a1} \var{op2} \var{b1}$	$(\var{a} \var{op} \var{b}) \var{op1} (\var{a1} \var{op2} \var{b1})$	$\var{a2} \var{op3} \var{b2}$	$((\var{a} \var{op} \var{b})\var{op1}(\var{a1} \var{op2} \var{b1}))\var{op4}(\var{a2} \var{op3} \var{b2})$
$\var{disp[0]}$	$\var{disq[0]}$	Gap 0.	Gap 4.	Gap 8.	Gap 12.	Gap 16.
$\var{disp[1]}$	$\var{disq[1]}$	Gap 1.	Gap 5.	Gap 9.	Gap 13.	Gap 17.
$\var{disp[2]}$	$\var{disq[2]}$	Gap 2.	Gap 6.	Gap 10.	Gap 14.	Gap 18.
$\var{disp[3]}$	$\var{disq[3]}$	Gap 3.	Gap 7.	Gap 11.	Gap 15.	Gap 19.

Advice

First we find the truth table for $\var{a} \var{op} \var{b}$ :

$p$	$q$	$\var{a} \var{op} \var{b}$
$\var{disp[0]}$	$\var{disq[0]}$	$\var{ev1[0]}$
$\var{disp[1]}$	$\var{disq[1]}$	$\var{ev1[1]}$
$\var{disp[2]}$	$\var{disq[2]}$	$\var{ev1[2]}$
$\var{disp[3]}$	$\var{disq[3]}$	$\var{ev1[3]}$

Then the truth table for $\var{a1} \var{op2} \var{b1}$ :

$p$	$q$	$\var{a1} \var{op2} \var{b1}$
$\var{disp[0]}$	$\var{disq[0]}$	$\var{ev2[0]}$
$\var{disp[1]}$	$\var{disq[1]}$	$\var{ev2[1]}$
$\var{disp[2]}$	$\var{disq[2]}$	$\var{ev2[2]}$
$\var{disp[3]}$	$\var{disq[3]}$	$\var{ev2[3]}$

Putting these together to find $(\var{a} \var{op} \var{b})\var{op1}(\var{a1} \var{op2} \var{b1})$ :

$p$	$q$	$\var{a} \var{op} \var{b}$	$\var{a1} \var{op2} \var{b1}$	$(\var{a} \var{op} \var{b})\var{op1}(\var{a1} \var{op2} \var{b1})$
$\var{disp[0]}$	$\var{disq[0]}$	$\var{ev1[0]}$	$\var{ev2[0]}$	$\var{t_value[0]}$
$\var{disp[1]}$	$\var{disq[1]}$	$\var{ev1[1]}$	$\var{ev2[1]}$	$\var{t_value[1]}$
$\var{disp[2]}$	$\var{disq[2]}$	$\var{ev1[2]}$	$\var{ev2[2]}$	$\var{t_value[2]}$
$\var{disp[3]}$	$\var{disq[3]}$	$\var{ev1[3]}$	$\var{ev2[3]}$	$\var{t_value[3]}$

Next we find the truth table for $\var{a2} \var{op3} \var{b2}$ :

$p$	$q$	$\var{a2} \var{op3} \var{b2}$
$\var{disp[0]}$	$\var{disq[0]}$	$\var{ev3[0]}$
$\var{disp[1]}$	$\var{disq[1]}$	$\var{ev3[1]}$
$\var{disp[2]}$	$\var{disq[2]}$	$\var{ev3[2]}$
$\var{disp[3]}$	$\var{disq[3]}$	$\var{ev3[3]}$

Putting this all together to obtain the truth table we want:

$p$	$q$	$(\var{a} \var{op} \var{b})\var{op1}(\var{a1} \var{op2} \var{b1})$	$\var{a2} \var{op3} \var{b2}$	$((\var{a} \var{op} \var{b})\var{op1}(\var{a1} \var{op2} \var{b1}))\var{op4}(\var{a2} \var{op3} \var{b2})$
$\var{disp[0]}$	$\var{disq[0]}$	$\var{t_value[0]}$	$\var{ev3[0]}$	$\var{final_value[0]}$
$\var{disp[1]}$	$\var{disq[1]}$	$\var{t_value[1]}$	$\var{ev3[1]}$	$\var{final_value[1]}$
$\var{disp[2]}$	$\var{disq[2]}$	$\var{t_value[2]}$	$\var{ev3[2]}$	$\var{final_value[2]}$
$\var{disp[3]}$	$\var{disq[3]}$	$\var{t_value[3]}$	$\var{ev3[3]}$	$\var{final_value[3]}$

Give a worked solution to the whole question.

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This question is used in the following exams:

max2_Logikk by Tore Gaupseth in Tore's workspace.
max203_Logikk by Tore Gaupseth in Tore's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Bill Foster 8 years, 9 months ago

Tore Gaupseth 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Error

ma2178_Logikk

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Bill Foster 8 years, 9 months ago

Tore Gaupseth 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`