Mercurial > hg > Papers > 2020 > soto-midterm

annotate src/AgdaPushPopProof.agda.replaced @ 1:73127e0ab57c

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author soto@cr.ie.u-ryukyu.ac.jp
date Tue, 08 Sep 2020 18:38:08 +0900
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soto@cr.ie.u-ryukyu.ac.jp
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1 id-meta : @$\mathbb{N}$@ @$\rightarrow$@ @$\mathbb{N}$@ @$\rightarrow$@ SingleLinkedStack @$\mathbb{N}$@ @$\rightarrow$@ Meta
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}
soto@cr.ie.u-ryukyu.ac.jp
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3 ; nextCS = (N.cs id) ; stack = s}
soto@cr.ie.u-ryukyu.ac.jp
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4
soto@cr.ie.u-ryukyu.ac.jp
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5 push-pop-type : @$\mathbb{N}$@ @$\rightarrow$@ @$\mathbb{N}$@ @$\rightarrow$@ @$\mathbb{N}$@ @$\rightarrow$@ Element @$\mathbb{N}$@ @$\rightarrow$@ Set@$\_{1}$@
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 @$\equiv$@ meta
soto@cr.ie.u-ryukyu.ac.jp
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7 where
soto@cr.ie.u-ryukyu.ac.jp
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8 meta = id-meta n e record {top = just (cons x (just s))}
soto@cr.ie.u-ryukyu.ac.jp
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9
soto@cr.ie.u-ryukyu.ac.jp
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10 push-pop : (n e x : @$\mathbb{N}$@) @$\rightarrow$@ (s : Element @$\mathbb{N}$@) @$\rightarrow$@ push-pop-type n e x s
soto@cr.ie.u-ryukyu.ac.jp
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11 push-pop n e x s = refl