annotate paper/src/AgdaPushPopProof.agda.replaced @ 2:c7acb9211784
add code, figure. and paper fix content
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ryokka |
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Mon, 27 Jan 2020 20:41:36 +0900 |
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196ba119ca89 |
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1 id-meta : @$\mathbb{N}$@ @$\rightarrow$@ @$\mathbb{N}$@ @$\rightarrow$@ SingleLinkedStack @$\mathbb{N}$@ @$\rightarrow$@ Meta
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2 id-meta n e s = record { context = record {n = n ; element = just e}
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3 ; nextCS = (N.cs id) ; stack = s}
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4
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5 push-pop-type : @$\mathbb{N}$@ @$\rightarrow$@ @$\mathbb{N}$@ @$\rightarrow$@ @$\mathbb{N}$@ @$\rightarrow$@ Element @$\mathbb{N}$@ @$\rightarrow$@ Set@$\text{1}$@
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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
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7 where
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8 meta = id-meta n e record {top = just (cons x (just s))}
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9
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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
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11 push-pop n e x s = refl
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