K ts t tt - - PowerPoint PPT Presentation

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K ts t tt - - PowerPoint PPT Presentation

Nov 10, 2022 108 likes •273 views

K ts t tt trrtrs s s rtt

SLIDE 1

❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✐♥t♦ ❈♦♠♣❡t✐t✐✈❡ ■♥t❡r♣r❡t❡rs

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥

❉❡♣❛rt♠❡♥t ♦❢ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡ ❯♥✐✈❡rs✐t② ♦❢ ■❧❧✐♥♦✐s

❆✉❣✉st ✽✱ ✷✵✶✶

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s

SLIDE 2

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✷✴✾

SLIDE 3

❖❈❛♠❧✐③❡r

s②♥t❛① s❡♠❛♥t✐❝s K✲Pr♦t♦t②♣❡ ❢r♦♥t✲❡♥❞ ▼❛✉❞❡ ■❘ ❈♦♥str✉❝t ❍❡❛❞❡r

❡♥❡r❛t❡ ❚②♣❡s

❈♦♥str✉❝t ❍❡❧♣❡rs ❈♦♥str✉❝t ❊✈❛❧ ❈♦♥✈❡rt

❡♥❡r❛t❡ ◆❛t✐✈❡s

❈♦♥str✉❝t ❋♦♦t❡r ❖❈❛♠❧ ❝♦❞❡ ❖❈❛♠❧♦♣t ❖❈❛♠❧ ✐♥t❡r♣r❡t❡r K✲Pr♦t♦t②♣❡ ❢r♦♥t✲❡♥❞ ♣r♦❣r❛♠ ▼❛✉❞❡ ■❘ ❖❈❛♠❧ Pr♦❣r❛♠

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✸✴✾

SLIDE 4

❙✉♠♠❛r② ♦❢ ❈♦♠♣✐❧❛t✐♦♥

❍❡❛❞❡r✿ ◆❡❝❡ss❛r② ❖❈❛♠❧ ❧✐❜r❛r✐❡s ❚②♣❡s✿ ❖❈❛♠❧ ❞❛t❛t②♣❡s ❛r❡ ❜✉✐❧t ✉s✐♥❣ ❝♦♥str✉❝t♦rs ❢r♦♠ s②♥t❛① ❍❡❧♣❡rs✿ ❋✉♥❝t✐♦♥s ❛r❡ ❝♦♥str✉❝t❡❞ ❛❧❧♦✇✐♥❣ ♠❛t❝❤✐♥❣✴❞❡❝♦♥str✉❝t✐♦♥ ♦❢ t❤❡ ❝♦♥✜❣✉r❛t✐♦♥ ❊✈❛❧✿ ❘✉❧❡s t✉r♥ ✐♥t♦ ♥❡st❡❞ ♠❛t❝❤✐♥❣ ❝❛s❡s ♦❢ ❛ s✐♥❣❧❡ ❡✈❛❧ ❢✉♥❝t✐♦♥✳ ❆t t❤❡ ❜♦tt♦♠✱ ❖❈❛♠❧ s♣❡❝✐✜❝ ♠❛t❝❤✐♥❣ r✉❧❡s ❢♦r ❜✉✐❧t✐♥s ❛r❡ ✐♥❝♦r♣♦r❛t❡❞✳

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✹✴✾

SLIDE 5

❙✉♠♠❛r② ♦❢ ❈♦♠♣✐❧❛t✐♦♥

❍❡❛❞❡r✿ ◆❡❝❡ss❛r② ❖❈❛♠❧ ❧✐❜r❛r✐❡s ❚②♣❡s✿ ❖❈❛♠❧ ❞❛t❛t②♣❡s ❛r❡ ❜✉✐❧t ✉s✐♥❣ ❝♦♥str✉❝t♦rs ❢r♦♠ s②♥t❛① ❍❡❧♣❡rs✿ ❋✉♥❝t✐♦♥s ❛r❡ ❝♦♥str✉❝t❡❞ ❛❧❧♦✇✐♥❣ ♠❛t❝❤✐♥❣✴❞❡❝♦♥str✉❝t✐♦♥ ♦❢ t❤❡ ❝♦♥✜❣✉r❛t✐♦♥ ❊✈❛❧✿ ❘✉❧❡s t✉r♥ ✐♥t♦ ♥❡st❡❞ ♠❛t❝❤✐♥❣ ❝❛s❡s ♦❢ ❛ s✐♥❣❧❡ ❡✈❛❧ ❢✉♥❝t✐♦♥✳ ❆t t❤❡ ❜♦tt♦♠✱ ❖❈❛♠❧ s♣❡❝✐✜❝ ♠❛t❝❤✐♥❣ r✉❧❡s ❢♦r ❜✉✐❧t✐♥s ❛r❡ ✐♥❝♦r♣♦r❛t❡❞✳

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✹✴✾

SLIDE 6

❙✉♠♠❛r② ♦❢ ❈♦♠♣✐❧❛t✐♦♥

❍❡❛❞❡r✿ ◆❡❝❡ss❛r② ❖❈❛♠❧ ❧✐❜r❛r✐❡s ❚②♣❡s✿ ❖❈❛♠❧ ❞❛t❛t②♣❡s ❛r❡ ❜✉✐❧t ✉s✐♥❣ ❝♦♥str✉❝t♦rs ❢r♦♠ s②♥t❛① ❍❡❧♣❡rs✿ ❋✉♥❝t✐♦♥s ❛r❡ ❝♦♥str✉❝t❡❞ ❛❧❧♦✇✐♥❣ ♠❛t❝❤✐♥❣✴❞❡❝♦♥str✉❝t✐♦♥ ♦❢ t❤❡ ❝♦♥✜❣✉r❛t✐♦♥ ❊✈❛❧✿ ❘✉❧❡s t✉r♥ ✐♥t♦ ♥❡st❡❞ ♠❛t❝❤✐♥❣ ❝❛s❡s ♦❢ ❛ s✐♥❣❧❡ ❡✈❛❧ ❢✉♥❝t✐♦♥✳ ❆t t❤❡ ❜♦tt♦♠✱ ❖❈❛♠❧ s♣❡❝✐✜❝ ♠❛t❝❤✐♥❣ r✉❧❡s ❢♦r ❜✉✐❧t✐♥s ❛r❡ ✐♥❝♦r♣♦r❛t❡❞✳

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✹✴✾

SLIDE 7

❙✉♠♠❛r② ♦❢ ❈♦♠♣✐❧❛t✐♦♥

❍❡❛❞❡r✿ ◆❡❝❡ss❛r② ❖❈❛♠❧ ❧✐❜r❛r✐❡s ❚②♣❡s✿ ❖❈❛♠❧ ❞❛t❛t②♣❡s ❛r❡ ❜✉✐❧t ✉s✐♥❣ ❝♦♥str✉❝t♦rs ❢r♦♠ s②♥t❛① ❍❡❧♣❡rs✿ ❋✉♥❝t✐♦♥s ❛r❡ ❝♦♥str✉❝t❡❞ ❛❧❧♦✇✐♥❣ ♠❛t❝❤✐♥❣✴❞❡❝♦♥str✉❝t✐♦♥ ♦❢ t❤❡ ❝♦♥✜❣✉r❛t✐♦♥ ❊✈❛❧✿ ❘✉❧❡s t✉r♥ ✐♥t♦ ♥❡st❡❞ ♠❛t❝❤✐♥❣ ❝❛s❡s ♦❢ ❛ s✐♥❣❧❡ ❡✈❛❧ ❢✉♥❝t✐♦♥✳ ❆t t❤❡ ❜♦tt♦♠✱ ❖❈❛♠❧ s♣❡❝✐✜❝ ♠❛t❝❤✐♥❣ r✉❧❡s ❢♦r ❜✉✐❧t✐♥s ❛r❡ ✐♥❝♦r♣♦r❛t❡❞✳

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✹✴✾

SLIDE 8

❉❡t❛✐❧s ♦❢ ■♠♣❧❡♠❡♥t❛t✐♦♥

❚②♣❡s ❛r❡ s♣❧✐t ✐♥t♦ r❡s✉❧ts ❛♥❞ ❝❛✉s❡s✳ ❈♦♥✜❣✉r❛t✐♦♥s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s t✉♣❧❡s✳ ▼❛♣♣✐♥❣s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s ❤❛s❤✲t❛❜❧❡s✳ ◆♦ ❆ ♦r ❆❈ ♠❛t❝❤✐♥❣ ❛❧❧♦✇❡❞✳ ❉❡t❡❝t✐♥❣ ❛ ♣❛rt✐❛❧ ♦r❞❡r✐♥❣ ♦❢ ❧♦♦❦✉♣s ✇♦✉❧❞ ❛❧❧♦✇ ♦♥❡ t♦ ❤❛♥❞❧❡ t❤✐♥❣s s✉❝❤ ❛s ① ❦ ❦ ① ▲

❡♥✈ ▲

✐

st♦r❡

✐ ❦ ❦ ① ▲

❡♥✈ ▲

✐

st♦r❡

❛s ♦♣♣♦s❡❞ t♦ ❥✉st ① ❦ ❦

❡♥✈ st♦r❡

① ❦ ❦

❡♥✈ st♦r❡

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✺✴✾

SLIDE 9

❉❡t❛✐❧s ♦❢ ■♠♣❧❡♠❡♥t❛t✐♦♥

❚②♣❡s ❛r❡ s♣❧✐t ✐♥t♦ r❡s✉❧ts ❛♥❞ ❝❛✉s❡s✳ ❈♦♥✜❣✉r❛t✐♦♥s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s t✉♣❧❡s✳ ▼❛♣♣✐♥❣s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s ❤❛s❤✲t❛❜❧❡s✳ ◆♦ ❆ ♦r ❆❈ ♠❛t❝❤✐♥❣ ❛❧❧♦✇❡❞✳ ❉❡t❡❝t✐♥❣ ❛ ♣❛rt✐❛❧ ♦r❞❡r✐♥❣ ♦❢ ❧♦♦❦✉♣s ✇♦✉❧❞ ❛❧❧♦✇ ♦♥❡ t♦ ❤❛♥❞❧❡ t❤✐♥❣s s✉❝❤ ❛s ① ❦ ❦ ① ▲

❡♥✈ ▲

✐

st♦r❡

✐ ❦ ❦ ① ▲

❡♥✈ ▲

✐

st♦r❡

❛s ♦♣♣♦s❡❞ t♦ ❥✉st ① ❦ ❦

❡♥✈ st♦r❡

① ❦ ❦

❡♥✈ st♦r❡

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✺✴✾

SLIDE 10

❉❡t❛✐❧s ♦❢ ■♠♣❧❡♠❡♥t❛t✐♦♥

❚②♣❡s ❛r❡ s♣❧✐t ✐♥t♦ r❡s✉❧ts ❛♥❞ ❝❛✉s❡s✳ ❈♦♥✜❣✉r❛t✐♦♥s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s t✉♣❧❡s✳ ▼❛♣♣✐♥❣s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s ❤❛s❤✲t❛❜❧❡s✳ ◆♦ ❆ ♦r ❆❈ ♠❛t❝❤✐♥❣ ❛❧❧♦✇❡❞✳ ❉❡t❡❝t✐♥❣ ❛ ♣❛rt✐❛❧ ♦r❞❡r✐♥❣ ♦❢ ❧♦♦❦✉♣s ✇♦✉❧❞ ❛❧❧♦✇ ♦♥❡ t♦ ❤❛♥❞❧❡ t❤✐♥❣s s✉❝❤ ❛s ① ❦ ❦ ① ▲

❡♥✈ ▲

✐

st♦r❡

✐ ❦ ❦ ① ▲

❡♥✈ ▲

✐

st♦r❡

❛s ♦♣♣♦s❡❞ t♦ ❥✉st ① ❦ ❦

❡♥✈ st♦r❡

① ❦ ❦

❡♥✈ st♦r❡

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✺✴✾

SLIDE 11

❉❡t❛✐❧s ♦❢ ■♠♣❧❡♠❡♥t❛t✐♦♥

❚②♣❡s ❛r❡ s♣❧✐t ✐♥t♦ r❡s✉❧ts ❛♥❞ ❝❛✉s❡s✳ ❈♦♥✜❣✉r❛t✐♦♥s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s t✉♣❧❡s✳ ▼❛♣♣✐♥❣s ❛r❡ r❡♣r❡s❡♥t❡❞ ❛s ❤❛s❤✲t❛❜❧❡s✳ ◆♦ ❆ ♦r ❆❈ ♠❛t❝❤✐♥❣ ❛❧❧♦✇❡❞✳ ❉❡t❡❝t✐♥❣ ❛ ♣❛rt✐❛❧ ♦r❞❡r✐♥❣ ♦❢ ❧♦♦❦✉♣s ✇♦✉❧❞ ❛❧❧♦✇ ♦♥❡ t♦ ❤❛♥❞❧❡ t❤✐♥❣s s✉❝❤ ❛s ① ❦❦① → ▲, ρ❡♥✈▲ → ✐, σst♦r❡ →✐ ❦❦① → ▲, ρ❡♥✈▲ → ✐, σst♦r❡ ❛s ♦♣♣♦s❡❞ t♦ ❥✉st ① ❦❦ ρ❡♥✈σst♦r❡ →σ[ρ[①]] ❦❦ρ❡♥✈σst♦r❡

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✺✴✾

SLIDE 12

❊①❛♠♣❧❡ ❘✉❧❡

r✉❧❡ ❁❦❃ ❧❡tr❡❝ ❳ ❂ ❊ ✐♥ ❊✷ ❂❃ ❛❧❧♦❝❛t❡✭❳✮ ⑦❃ ❊ ⑦❃ ✇r✐t❡❚♦✭❳✮ ⑦❃ ❊✷ ⑦❃ r❡st♦r❡✭❝♦♣②✭❘❤♦✮✮ ✳✳✳❁✴❦❃ ❁❡♥✈❃ ❘❤♦ ❁✴❡♥✈❃ ⑤ ✭✭❈❛✉s❡ ✭❑▲✐st ✭ ✭❈❛✉s❡ ✭❆♣♣❧② ✭❈❛✉s❡ ▲❡tr❡❝❚✐❧❞❡✐♥❚✐❧❞❡ ✿✿ ❈❛✉s❡ ✭❆♣♣❧② ✭❈❛✉s❡ ❚✐❧❞❡❊q❚✐❧❞❡ ✿✿ ❈❛✉s❡ ✭❱❛r✐❛❜❧❡ st❴✈❴❳✮ ✿✿ ✈❊ ✿✿ ❬❪ ✮✮ ✿✿ ✈❊❚✇♦ ✿✿ ❬❪ ✮✮✮ ✿✿ ✈❘❡st✮✮ ✱ ❍❛s❤ ✈❘❤♦✱ ♦♦◆❊❳❚▲❖❈♦♦✱ ♦♦❙❚❖❘❊♦♦ ✮✱ ♦♦❘❊❙❯▲❚♦♦ ✮ ✲❃ ❡✈❛❧ ✭✭❈❛✉s❡ ✭❑▲✐st✭ ❈❛✉s❡ ✭❆❧❧♦❝❛t❡ ✭❈❛✉s❡ ✭❱❛r✐❛❜❧❡ st❴✈❴❳✮ ✿✿ ❬❪✮✮ ✿✿ ✈❊ ✿✿ ❈❛✉s❡ ✭❲r✐t❡❚♦ ✭❈❛✉s❡ ✭❱❛r✐❛❜❧❡ st❴✈❴❳✮ ✿✿ ❬❪✮✮ ✿✿ ✈❊❚✇♦ ✿✿ ❈❛✉s❡ ✭❘❡st♦r❡ ✭❍❛s❤ ✭❍❛s❤t❜❧✳❝♦♣② ✈❘❤♦✮ ✿✿ ❬❪✮✮ ✿✿ ✈❘❡st✮✮ ✱ ❍❛s❤ ✈❘❤♦✱ ♦♦◆❊❳❚▲❖❈♦♦✱ ♦♦❙❚❖❘❊♦♦✮✱ ♦♦❘❊❙❯▲❚♦♦✮ ▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✻✴✾

SLIDE 13

■♠♣❡r❛t✐✈❡ ❋✐❜♦♥❛❝❝✐ ❈♦♠♣❛r✐s♦♥

■▼P✿ ❜❝✿ ① ✿❂ ✶ ❀ ♥ ✿❂ ✶ ❀ ② ✿❂ ✶ ❀ ③ ✿❂ ✶ ❀ ✇❤✐❧❡ ✭ ♥ ❁❂ ✐♥♣✉t ✮ ✭ t ✿❂ ② ❀ ① ✿❂ ② ❀ ② ✿❂ ③ ❀ ③ ✿❂ t ✰ ② ❀ ♥ ✿❂ ♥ ✰ ✶ ✮ ❀ ① ✰ ✵ ❜ ❂ r❡❛❞✭✮ ❀ ① ❂ ✶ ❀ ② ❂ ✶ ❀ ③ ❂ ✶ ❀ ♥ ❂ ✶ ❀ ✇❤✐❧❡ ✭ ♥ ❁❂ ❜ ✮ ④ t ❂ ② ❀ ① ❂ ② ❀ ② ❂ ③ ❀ ③ ❂ t ✰ ② ❀ ♥ ❂ ♥ ✰ ✶ ⑥ ❀ ♣r✐♥t ① q✉✐t

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✼✴✾

SLIDE 14

■▼P ❘❡s✉❧ts

2 4 6 8 10 100000 200000 300000 400000 500000 600000

Fib (IMP)

k-ocaml k-maude python ruby bc 2 4 6 8 10 20000 40000 60000 80000 100000

Fact (IMP)

k-ocaml k-maude python ruby bc 2 4 6 8 10 500000 1000000 1500000 2000000 2500000

Sum (IMP)

k-ocaml k-maude python ruby bc 2 4 6 8 10 200 400 600 800 1000 1200

Collatz (IMP)

k-ocaml k-maude python ruby bc

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✽✴✾

SLIDE 15

❋❯◆ ❘❡s✉❧ts

5 10 15 20 5 10 15 20 25 30 35 40

Fib (FUN)

k-ocaml k-maude python ruby bc 2 4 6 8 10 10000 20000 30000 40000 50000 60000

Fact (FUN)

k-ocaml k-maude python ruby bc 1 2 3 4 5 6 200000 400000 600000 800000 1e+06

Sum (FUN)

k-ocaml k-maude python ruby bc 5 10 15 20 25 30 35 5 10 15 20 25 30

Hanoi (FUN)

k-ocaml k-maude python ruby bc

▼✐❝❤❛❡❧ ■❧s❡♠❛♥ ❈❤✉❝❦② ❊❧❧✐s♦♥ ❈♦♠♣✐❧✐♥❣ K ❉❡✜♥✐t✐♦♥s ✾✴✾