annotate Paper/src/bt_impl/replace.agda.replaced @ 0:14a0e409d574

ADD fast commit
author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 24 Apr 2022 23:13:44 +0900
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14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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1 replace : {n m : Level} {A : Set n} {t : Set m} !$\rightarrow$! (env : Env A )
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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2 !$\rightarrow$! (next : Env A !$\rightarrow$! t )
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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3 !$\rightarrow$! (exit : Env A !$\rightarrow$! t) !$\rightarrow$! t
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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4 replace env next exit = replace-c (varl env) env next exit where
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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5 replace-c : {n m : Level} {A : Set n} {t : Set m} !$\rightarrow$! List (bt A) !$\rightarrow$! (env : Env A )
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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6 !$\rightarrow$! (next : Env A !$\rightarrow$! t )
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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7 !$\rightarrow$! (exit : Env A !$\rightarrow$! t) !$\rightarrow$! t
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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8 replace-c st env next exit with st
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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9 ... | [] = exit env
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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10 ... | leaf !$\text{::}$! st1 = replace-c st1 env next exit
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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11 ... | n@(node key-t value ltree rtree) !$\text{::}$! st1 with <-cmp (varn env) (key-t)
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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12 ... | tri< a !$\neg$!b !$\neg$!c = replace-c st1 record env{vart = (node key-t value (vart env) rtree); varl = st1} next exit
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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13 ... | tri!$\approx$! !$\neg$!a b !$\neg$!c = replace-c st1 record env{vart = (node key-t (varv env) ltree rtree); varl = st1} next exit
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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14 ... | tri> !$\neg$!a !$\neg$!b c = replace-c st1 record env{vart = (node key-t value ltree (vart env)); varl = st1} next exit