Mercurial > hg > Members > atton > agda-proofs

annotate cbc/subtype-sample.agda @ 51:16e27df74ec5

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Split subtype definitions for reuse context
author atton <atton@cr.ie.u-ryukyu.ac.jp>
date Tue, 10 Jan 2017 02:04:55 +0000
parents
children 4880184e4ab5
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51
16e27df74ec5 Split subtype definitions for reuse context
atton <atton@cr.ie.u-ryukyu.ac.jp>
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1 module subtype-sample where
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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2
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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3 open import Data.Nat
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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4 open import Data.Nat.Show
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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5 open import Data.String hiding (_++_ ; show ; toList ; fromList)
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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6 open import Data.List
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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7 open import Relation.Binary.PropositionalEquality
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8
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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9
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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10
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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11 record Context : Set where
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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12 field
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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13 cycle : ℕ
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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14 led : String
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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15 signature : String
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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16
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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17 open import subtype Context
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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18 record LoopCounter : Set where
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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19 field
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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20 count : ℕ
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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21 name : String
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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22
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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23 record SignatureWithNum : Set where
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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24 field
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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25 signature : String
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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26 num : ℕ
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27
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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28 instance
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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29 contextHasLoopCounter : DataSegment LoopCounter
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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30 contextHasLoopCounter = record {get = (\c -> record {count = Context.cycle c ;
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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31 name = Context.led c });
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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32 set = (\c l -> record {cycle = LoopCounter.count l;
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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33 led = LoopCounter.name l;
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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34 signature = Context.signature c})}
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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35 contextHasSignatureWithNum : DataSegment SignatureWithNum
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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36 contextHasSignatureWithNum = record {get = (\c -> record { signature = Context.signature c
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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37 ; num = Context.cycle c})
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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38 ;set = (\c s -> record { cycle = SignatureWithNum.num s
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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39 ; led = Context.led c
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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40 ; signature = SignatureWithNum.signature s})
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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41 }
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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42
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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43 inc : LoopCounter -> LoopCounter
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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44 inc l = record l {count = suc (LoopCounter.count l)}
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45
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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46 firstContext : Context
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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47 firstContext = record { cycle = 3 ; led = "q" ; signature = "aaa" }
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48
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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49
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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50 incContextCycle : {{_ : DataSegment LoopCounter }} -> Context -> Context
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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51 incContextCycle {{l}} c = DataSegment.set l c (inc (DataSegment.get l c))
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52
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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53
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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54 equiv : incContextCycle firstContext ≡ record { cycle = 4 ; led = "q" ; signature = "aaa" }
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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55 equiv = refl
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56
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57
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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58 csInc : CodeSegment LoopCounter LoopCounter
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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59 csInc = cs inc
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61
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62
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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63 equiv-exec : {l : List Set} -> incContextCycle firstContext ≡ exec csInc firstContext
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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64 equiv-exec = refl
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65
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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66 comp-sample : {c : Context} -> CodeSegment LoopCounter LoopCounter
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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67 comp-sample {c} = (csComp {c} csInc csInc)
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68
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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69
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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70 apply-sample : Context
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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71 apply-sample = exec (comp-sample {firstContext}) firstContext
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72
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73
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74
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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75 updateSignature : SignatureWithNum -> SignatureWithNum
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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76 updateSignature record { signature = signature ; num = num } = record { signature = (Data.String._++_) signature (show num ) ; num = num}
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77
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78
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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79 csUpdateSignature : CodeSegment SignatureWithNum SignatureWithNum
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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80 csUpdateSignature = cs updateSignature
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81
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82
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83
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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84 comp-sample-2 : {c : Context} -> CodeSegment LoopCounter SignatureWithNum
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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85 comp-sample-2 {c} = csComp {c} csUpdateSignature csInc
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86
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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87 apply-sample-2 : Context
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atton <atton@cr.ie.u-ryukyu.ac.jp>
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88 apply-sample-2 = exec (comp-sample-2 {firstContext}) firstContext
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89