Set Default Goal Selector Require Import Coq Strings Ascii Require Import Coq Lists List Import ListNotations Open scope char scope Require Import Hw 5 Util ( Use 'Yield def ) Theorem yield eq forall G A W , List In ( A , w ) ( Hw 5 Util grammar rules G ) Hw 5 Util Yield G A w Proof Admitted ( Use 'yield def' and 'app assoc' to correct the parenthesis ) Theorem yield right forall G w 1 w 2 r w 3 w 4 , Hw 5 Util Yield G w 1 w 2 w 3 w 1 r w 4 w 2 r Hw 5 Util Yield G w 3 w 4 Proof Admitted ( Similar proof than 'yield right', but you should rewrite with 'app assoc' after using 'yield def', not before ) Theorem yield left forall G w 1 w 2 l w 3 w 4 , Hw 5 Util Yield G w 1 w 2 w 3 l w 1 w 4 l w 2 Hw 5 Util Yield G w 3 w 4 Proof Admitted ( Consider using one of the lemmas you have just proved When your goal is ' In ( C , ) ( grammar rules gl ) ' , 'simpl auto should solve it ) Theorem gl rule 1 Hw 5 util Yield g 1 C C Proof Admitted ( Consider using one of the lemmas you have just proved When your goal is ' In ( C , ) ( grammar rules gl ) ' , 'simpl auto should solve it ) Theorem g 1 rule 2 Hw 5 util Y ield g 1 C C C Proof Admitted ( Consider using one of the lemmas you have just proved When your goal is In ( C , ) ( grammar rules gl ) , simpl auto should solve it ) Theorem g 1 rule 3 Hw 5 util Yield g 1 C Proof Admitted ( The proof should proceed by inversion and then case analysis on string u ) Theorem yield inv start forall G w , Hw 5 til Yield G Hw 5 util grammar start G w In ( Hw 5 Util grammar start G , w ) ( Hw 5 Util gramma Proof Admitted ( You will want to use yield inv start Recall that that List In simplifies to a series of disjunctions ) Theorem g 1 ex 1 Hw 5 Util Yield g 1 C Proof Admitted ( The idea is to use either yield left , yield right , or yield def ) Theorem g 1 step 1 Hw 5 util Yield g 1 C C C C Proof Admitted ( The idea is to use either yield left , yield right , or yield def ) Theorem g 1 step 2 Hw 5 util ield g 1 C C C Proof Admitted l The idea is to use either yield left , yield right , or yield def ) Theorem g 1 step 3 Hw 5 util ield g 1 C C Proof Admitted ( The idea is to use either yield left , yield right , or yield def ) Theorem g 1 step 4 Hw 5 util ield g 1 C Proof Admitted ( Use either derivation nil or derivation cons ) Theorem g 1 der 1 Hw 5 util D Derivation g 1 C Proof Admitted ( Use either derivation nil or derivation cons ) Theorem g 1 der 2 Hw 5 util Derivation g 1 C C C proof Admitted ( Use either derivation nil or derivation cons ) Theorem g 1 der 3 Hw 5 util D erivation g 1 C C C C C Proof Admitted Theorem g 1 der 4 Hw 5 util Derivation g 1 C C C C C C Proof Admitted Theorem al der 5 Theorem gl der 5 Hw 5 Util Derivation g 1 C C C C C C C Proof Admitted Theorem g 1 der 6 Hw 5 util Derivation g 1 C C C C C C C Proof Admitted begin array l ( text Use text ) end array Theorem exl Accept g 1 Proof Admitted ) Require Import Coq Strings Ascii Require Import Coq Lists List Import ListNotations Open Scope char scope Definition rule ( ascii list ascii ) type Structure grammar grammar vars list ascii grammar terminals list ascii grammar rules list rule grammar start ascii Definition g 1 grammar vars C grammar terminals grammar start C grammar rules ( C ,

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Question: ` ` ` Set Default Goal Selector ! . Require Import Coq.Strings.Ascii. Require Import Coq.Lists.List. Import ListNotations. Open scope char _ scope. Require

` ` `

Set Default Goal Selector

"! " .

Require Import Coq.Strings.Ascii.

Require Import Coq.Lists.List.

Import ListNotations.

Open scope char

_

scope.

Require Import Hw

5

Util.

` ` `

` ` `

(* *

Use 'Yield

_

def

` .

*)

Theorem yield

_

eq:

forall G A W

,

List.In

(

,

) (

5

Util.grammar

_

rules G

) - >

5

Util.Yield G

[

]

.

Proof.

Admitted.

(* *

Use 'yield

_

def' and 'app

_

assoc' to correct the parenthesis.

*)

Theorem yield

_

right:

forall G w

1

2

r w

3

4,

5

Util.Yield G w

1

2 - >

3 =

1 + +

- >

4 =

2 + +

- >

5

Util.Yield G w

3

4 .

Proof.

Admitted.

(* *

Similar proof than 'yield

_

right', but you should rewrite with

'app

_

assoc' after using 'yield

_

def', not before.

*)

Theorem yield

_

left:

forall G w

1

2

l w

3

4,

5

Util.Yield G w

1

2 - >

3 =

+ +

1 - >

4 =

+ +

2 - >

5

Util.Yield G w

3

4 .

Proof.

Admitted.

(* *

Consider using one of the lemmas you have just proved.

When your goal is

'

("

", . . .) (

grammar

_

rules gl

)',

'simpl; auto

`

should solve it

.

*)

Theorem gl

_

rule

_1

5

util.Yield g

1 ["

"] [" {"

;

"

"

;

"} "] .

Proof.

Admitted.

(* *

Consider using one of the lemmas you have just proved.

When your goal is

'

("

", . . .) (

grammar

_

rules gl

)',

'simpl; auto

`

should solve it

.

*)

` ` ` ` ` `

Theorem g

1_

rule

_2

5

util.Y

ield g

1 ["

"] ["

"

;

"

"] .

Proof.

Admitted.

(* *

Consider using one of the lemmas you have just proved.

When your goal is

`

("

", . . .) (

grammar

_

rules gl

) `, `

simpl; auto

`

should solve it

.

*)

Theorem g

1_

rule

_3

5

util.Yield

`

1 ["

"] [] .

Proof.

Admitted.

(* *

The proof should proceed by inversion and then case analysis on

string

`

` .

*)

Theorem yield

_

inv

_

start:

forall G w

,

5

til

.

Yield G

[

5

util.grammar

_

start G

]

- >

(

5

Util.grammar

_

start G

,

) (

5

Util.gramma

Proof.

Admitted.

(* *

You will want to use

`

yield

_

inv

_

start

` .

Recall that that

`

List

.

`

simplifies to a series of disjunctions.

*)

Theorem g

1_

1

~ Hw

5

Util.Yield g

1 ["

"] [" {"] .

Proof.

Admitted.

(* *

The idea is to use either:

`

yield

_

left

`, `

yield

_

right

`,

`

yield

_

def

` .

*)

Theorem g

1_

step

_1

5

util.Yield g

1 ["

"

;

"

"] [" {"

;

"

"

;

"} "

;

"

"] .

Proof.

Admitted.

(* *

The idea is to use either:

`

yield

_

left

`, `

yield

_

right

`,

`

yield

_

def

` .

*)

Theorem g

1_

step

_2

5

util.

\

ield g

1 [" {"

;

"

"

;

"} "

;

"

"] [" {"

;

"} "

;

"

"] .

Proof.

Admitted.

` ` ` ` ` `

* *

The idea is to use either:

`

yield

_

left

`, `

yield

_

right

`,

`

yield

_

def

` .

*)

Theorem g

1_

step

_3

5

util.

\

ield g

1 [" {"

;

"} "

;

"

"] [" {"

;

"} "

;

" {"

;

"

"

;

"} "] .

Proof.

Admitted.

(* *

The idea is to use either:

`

yield

_

left

`, `

yield

_

right

`,

`

yield

_

def

` .

*)

Theorem g

1_

step

_4

5

util.

\

ield g

1 [" {"

;

"} "

;

" {"

;

"

"

;

"} "] [" {"

;

"} "

;

" {"

;

"} "] .

Proof.

Admitted.

(* *

Use either

`

derivation

_

nil

`

`

derivation

_

cons

` .

*)

Theorem g

1_

der

_1

5

util.D

Derivation g

1 [["

"]] .

Proof.

Admitted.

(* *

Use either

`

derivation

_

nil

`

`

derivation

_

cons

` .

*)

Theorem g

1_

der

_2

5

util.Derivation g

1 [["

"

;

"

"]

;

["

"]] .

proof.

Admitted.

(* *

Use either

`

derivation

_

nil

`

`

derivation

_

cons

` .

*)

Theorem g

1_

der

_3

5

util.D

\

erivation g

1 [[" {"

;

"

"

;

"} "

;

"

"]

;

["

"

;

"

"]

;

["

"]] .

Proof.

Admitted.

Theorem g

1_

der

_4

5

util.Derivation g

1 [

[" {"

;

"} "

;

"

"]

;

[" {"

;

"

"

;

"} "

;

"

"]

;

["

"

;

"

"]

;

["

"]

` ` `

Proof.

Admitted.

Theorem al der

5

` ` `

Theorem gl

_

der

_5

5

Util.Derivation g

1 [

[" {"

;

"} "

;

" {"

;

"

"

;

"} "]

;

[" {"

;

"} "

;

"

"]

;

[" {"

;

"

"

;

"} "

;

"

"]

;

["

"

;

"

"]

;

["

"]

` ` `

] .

Proof.

Admitted.

Theorem g

1_

der

_6

5

util. Derivation g

1 |

[" \ {"

;

" \} "

;

" \ {"

;

" \} "]

;

[" \ {"

;

" \} "

;

" \ {"

;

"

"

;

" \} "]

;

[" \ {"

;

" \} "

;

"

"]

;

[" \ {"

;

"

"

;

" \} "

;

"

"]

;

["

"

;

"

"]

;

["

"]

Proof.

Admitted.

\ [

\

begin

{

array

} {

}

(* * \ \

\

text

{

Use

} \ \

\

text

{*)}

\

end

{

array

}

\]

Theorem exl:

Accept g

1 [" \ {"

;

" \} "

;

" \ {"

;

" \} "] .

Proof.

Admitted.

` ` `

*)

Require Import Coq.Strings.Ascii.

|

Require Import Coq.Lists.List.

Import ListNotations.

Open Scope char

_

scope.

Definition rule :

= (

ascii

*

list ascii

) %

type.

Structure grammar :

= {

grammar

_

vars : list ascii;

grammar

_

terminals : list ascii;

grammar

_

rules : list rule;

grammar

_

start : ascii;

} .

Definition g

1

= {|

grammar

_

vars :

= ["

"]

;

grammar

_

terminals :

= [" {"

;

"} "]

;

grammar

_

start :

= "

"

;

grammar

_

rules :

= [

("

", [Step by Step Solution There are 3 Steps involved in it 1 Expert Approved Answer Step: 1 Unlock Question Has Been Solved by an Expert! Get step-by-step solutions from verified subject matter experts View Solution Step: 2 Unlock Step: 3 UnlockStudents Have Also Explored These Related Programming Questions! Q: Set Default Goal Selector " ! " . Require Import Coq.Strings.Ascii. Require Import Coq.Lists.List. From Turing Require Import Lang. From Turing Require Import Util. Import LangNotations. Import... Q: I need the full code explained and answered please - ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ###... Q: code please - ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ### ##################################################### * ) Set Default Goal... Q: I was able to do ex 2 , ex 3 , ex 4 , ex 5 . please do the rest. ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ###... Q: ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ### ##################################################### * ) Set Default Goal Selector " ! "... Q: Help - ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ### ##################################################### * ) Set Default Goal... Q: hw 3 . v I need the code help please not the explanation to the questions - ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ###... Q: Help - I need the answer to the whole code - ( * ##################################################### ### PLEASE DO NOT DISTRIBUTE SOLUTIONS PUBLICLY ###... Q: Hw 5 util: Require Import Coq.Strings.Ascii. Require Import Coq.Lists.List. Import ListNotations. Open Scope char _ scope. Definition rule : = ( ascii * list ascii ) % type. Structure grammar : = {... Q: Require Import Coq.Strings.Ascii. Require Import Coq.Lists.List. From Turing Require Import Lang. From Turing Require Import Util. Import LangNotations. Import ListNotations. Import Lang.Examples.... Q: Gail Dahl contacted lawyer Susan Crowe to file bankruptcy. When Gail called the office, she talked with Jan Odegard, the paralegal, and inquired how much a Chapter 7 bankruptcy would cost. Jan told... Q: Describe one technique used to manage IT project risks. Q: Which of the following entity types provides the taxpayer the option to use the check - the - box rules and avoid taxation at the entity level as an association? A . A C corporation. B . An insurance... Q: Which of the following is commonly associated with high-performing project teams? Risk taking is controlled and not allowed to jeopardize the overall project. Roles and specific responsibilities are w Previous Question Next QuestionRecommended Textbook More Books Philosophy Through Video Games Authors: Jon Cogburn ,Mark Silcox 1st Edition 0415988586, 978-0415988582 Ask a Question and Get Instant Help! Get AnswerStudy Help Open in AppServices Sitemap Fun Definitions Become Tutor Used Textbooks Study Help Categories Recent Questions Expert Questions Campus Wear Sell Your Books Company Info Security Copyrights Privacy Policy Terms & Conditions SolutionInn Fee Scholarship Online Quiz Give Feedback, Get Rewards Get In Touch About Us Contact Us Career Jobs FAQ Student Discount Campus Ambassador Secure Payment Download Our App © 2026 SolutionInn. All Rights Reservedwindow.addEventListener("load",function(){jQuery(document).ready(function(t){

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