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Agda 入門＠ProofSummit 2011
- 1. Agda @ikegami _ _ Proof Summit 2011 2011-09-25
- 2. Agda • • = • = • • tactic
- 4. Agda • tactic • = • = • = • Agda • Agda
- 5. Universe Unicode subscript Set1 Set1
- 6. TAB
- 7. TAB
- 8. TAB
- 9. TAB
- 10. TAB
- 11. TAB
- 12. TAB
- 13. ℕ ℕ ℕ ℕ
- 17. ℕ ℕ total
- 18. Hidden arguments
- 19. lambda
- 20. Unicode / ASCII UTF8
- 21. mixfix ℕ ℕ ℕ
- 22. mixfix
- 23. ℕ ∷ ℕ
- 24. ℕ ∷ ℕ
- 25. ℕ ∷ ℕ
- 26. ℕ
- 28. Agda Agda A B A A B A B
- 29. Proposition as Set • • proof object •
- 30. A B • • •
- 31. :A A
- 38. Agda Agda A B A A B A B
- 40. A • • •
- 41. Agda Agda A B A A B A B
- 42. disjoint union ⊎ ⊎ ⊎
- 43. Agda Agda A B A A B ⊎ A B
- 44. sigma
- 45. times
- 46. Agda Agda A B A A B ⊎ A B
- 47. • double negation elimination • • Law of the excluded middle • ⊎ • • etc.
- 48. ℕ ℕ
- 49. Agda
- 50. forall ℕ ℕ ℕ
- 51. forall ℕ ℕ ℕ
- 52. Hidden argument ℕ m
- 53. Hidden argument ℕ m
- 55. let where
- 56. ()
- 57. wildcard
- 58. with
- 59. dot ℕ ℕ
- 60. dot ℕ ℕ ℕ
- 61. dot ℕ ℕ ℕ m
- 62. dot ℕ ℕ ℕ
- 63. dot ℕ ℕ ℕ
- 64. dot ℕ ℕ ℕ
- 65. dot ℕ ℕ ℕ
- 66. mutual Agda 2.2.12
- 67. mutual Agda 2.2.12
- 68. mutual Agda 2.2.12
- 69. postulate Agda
- 70. postulate Agda
- 71. postulate Agda
- 73. Agda module Ulf (2006) 30 …
- 74. module lib/src/Data/Nat.agda (add-to-list ʻagda2-include-dirs “.../lib/src”) Agda .../lib/src
- 75. module MyProject/Foo.agda (add-to-list ʻagda2-include-dirs “.../MyProject”)
- 76. open import • import • Nat.zero • open import • zero
- 77. module using
- 78. module renaming
- 79. module hiding ℕ
- 80. module as
- 81. Agda
- 82. agda2-goal-and-context Ctrl-c Ctrl-,
- 83. agda2-goal-and-context- and-inferred Ctrl-c Ctrl-.
- 84. agda2-refine Ctrl-c Ctrl-r
- 85. agda2-refine Ctrl-c Ctrl-r
- 86. / • Ctrl-C Ctrl-l (agda2-load) • Ctrl-C Ctrl-x Ctrl-r (agda2-restart)
- 87. compile ⊤ C-c C-x C-c (agda2-compile) MAlonzo
- 88. automation proving Ctrl-c Ctrl-a Agsy
- 89. automation proving Ctrl-c Ctrl-a Agsy
- 90. automation proving Ctrl-c Ctrl-a Agsy
- 91. advanced topic
- 93. ℕ
- 94. ℕ
- 95. ℕ
- 96. rewrite ℕ
- 97. rewrite ℕ
- 98. rewrite ℕ
- 99. rewrite ℕ
- 100. rewrite ℕ
- 101. rewrite ℕ
- 102. rewrite
- 103. equality reasoning ⟨ ⟩ ∎
- 104. equality reasoning ⟨ ⟩ ∎
- 105. equality reasoning ⟨ ⟩ ∎
- 106. tactic
- 107. emptiness check ℕ ℕ Agda 2.2.12 Feature
- 109. --universe-polymorphism Universe Agda Agda 2.2.12
- 110. agda • --compile • MAlonzo • --html • HTML • • • etc.
- 111. Agda release notes • Agda 2-2-0 (2009-03-18) • Sized type
- 112. sized types ℕ ℕ ℕ ℕ ℕ ℕ
- 113. sized types ℕ ℕ ℕ ℕ ℕ ℕ
- 114. Sized Type
- 115. Agda release notes • Agda 2.2.10 (2011-02-21) • --without-K flag • irrelevant declarations • termination checker with projections • compiler backend • Epic • MAlonzo
- 116. Epic • Epic • http://www.cs.st-andrews.ac.uk/~eb/ epic.php • Agda Epic • Epic C
- 117. MAlonzo • Agda • Haskell (!?) Agda Haskell
- 118. (experimental) • JavaScript Compiler Backend • Ruby Compiler Backend • https://github.com/larrytheliquid/agda-rb
- 119. Agda release notes • Agda 2.2.12 (current development) • coming soon (maybe within this week?) • instance arguments {{ }} • pattern matching lambda
- 120. Agda in browser • Agda + JavaScript Compiler • Functional Reactive Programming • Example : Clock
- 122. Demo KeyCastr.app Emacs.app (Command + T ) [1B_Maze-Black 25pt font]
- 123. • Agda standard library • irrelevant declaration • projection and termination • well-founded induction • instance arguments • coinduction • pattern matching lambda • --without-K • reflection • etc. (too much)