Mercurial > hg > Papers > 2022 > soto-sigos

annotate Paper/src/AgdaPushPopProof.agda @ 0:14a0e409d574

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author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 24 Apr 2022 23:13:44 +0900
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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1 id-meta : ℕ -> ℕ -> SingleLinkedStack ℕ -> Meta
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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2 id-meta n e s = record { context = record {n = n ; element = just e}
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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3 ; nextCS = (N.cs id) ; stack = s}
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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4
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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5 push-pop-type : ℕ -> ℕ -> ℕ -> Element ℕ -> Set₁
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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6 push-pop-type n e x s = M.exec (M.csComp {meta} (M.cs popOnce) (M.cs pushOnce)) meta ≡ meta
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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7 where
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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8 meta = id-meta n e record {top = just (cons x (just s))}
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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9
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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10 push-pop : (n e x : ℕ) -> (s : Element ℕ) -> push-pop-type n e x s
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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11 push-pop n e x s = refl