parents(charles,elizabeth,philip). parents charles elizabeth - - PDF document

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May 07, 2023 228 likes •442 views

parents(charles,elizabeth,philip). parents charles elizabeth

SLIDE 1 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✧ ★ ★ ✩✪✧ ✫ ✬ ✩✭✫ ✧✮★

parents(charles,elizabeth,philip). parents charles elizabeth philip a+bc a b c + book(moby_dick,author(herman,melville)). book moby_dick author herman melville

✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹

SLIDE 2 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥

✧✂✁☎✄✝✆

★✞✆ ✩ ★✞✆ ✬ ★✞✁

sentence noun verb_phrase verb noun

sentence(noun(john),verb_phrase(verb_phrase(likes),noun(mary)))).

sentence noun verb_phrase verb noun john likes mary

john likes mary.

✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✟

SLIDE 3 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✄✝✁ ✩ ✁ ✁ ✂☎✄✝✆✞✂✟✆✠✄ ✡☛✆✠☞✍✌✎✆✑✏✓✒✔✆ ✕✗✖✙✘✛✚✜✆✞✢ ✆✞✏✤✣✟✥ ✕✗✖✧✦✗✏✩★ ✚✜✆✑✏✎✪✫✣✭✬ ✮✯✦✗✏ ✰✱✆ ✣✭✬✲✕✫✌✎✪✫✬✤✣✳✕✗✖✧✦✫✥ ✦ ✥✭✴✱✆✠✒✔✵✶✦✷✚✸✣✹★☛✴✱✆ ✕✗✖✙✣✭✂✟✆✞✆ ✦✷✚✺✦ ✻✽✼✾✡☛✿ ❀❁✮❂✁ ❃ ✡✱❄❅✮✛❆ ❇ ❈ ❉ ❊ ❋✸●■❍ ❏✛❑▼▲◆● ❖◗P ❘ ❙✽❚ ❉ ❯ ❚ ❊ ❚✩❙

❀❲✦✝❄❨❳❬❩❭❈ ❪ ❫ ❴ ❉ ❯ ❚ ❊ ❚✩❙

✠▲

❱ ❀❭✦✝❄ ❱ ❀❵✰❛❄❜❳❝❩❭❈✭❈ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ❞

SLIDE 4 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✄✝✁ ✩

✧✮★ ★

.(a,.(b,.(c,[])))

. . . a b c [] Head (CAR) Tail (CDR)

✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷

SLIDE 5 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✄ ✁ ✩ ✁ ✻✸✵✶✥ ✣ ❃ ✕ ✣✟✦✷✣✭✵✜✕ ✏ ❳❬❩ ❳✁✫❩ ❳✁ ✂ ✄✟❩ ❳✁ ✂ ✄ ✂✆☎ ❩ ❳✁ ✂ ❳✝✄ ✂✆☎✞✂✆✟ ❩ ✂✆✠✡✂☞☛✌✂✎✍ ❩ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✏

SLIDE 6 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★

✆
✄✁

❳ ✦✝❄ ✰ ❄ ✒✷❄ ✄✩❩ ✦ ❳ ✰❛❄ ✒✷❄ ✄✩❩ ❳ ✦ ❩ ✦ ❳❬❩ ❳❬❩ ✖❲✦✷✵✜✚✺✥ ✖❲✦✷✵✜✚✺✥ ❳✺❳ ✣✭✬✲✆✫❄ ✒✑✦✷✣ ❩◗❄ ✥✟✦✷✣ ❩ ❳ ✣✭✬✎✆ ❄ ✒✞✦✗✣ ❩ ❳ ✥✟✦✷✣ ❩ ❳✄✂ ☎ ✆ ❄✞✝✟☎ ★ ❩ ✂ ☎ ✆ ❳✠✝✟☎ ★ ❩ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✡

SLIDE 7 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★

✆
✄✁
✁✄✂

☎✝✆✄✞✠✟☛✡✲❖☞✞✍✌✏✎✑✌✓✒✔✌✕✟☛P✗✖✔✘ ✙✄✚✜✛✣✢✥✤✄✙✧✦✄★✩✙ ✙✄✪✄✪✝✫✣✪✑✬ ☎✝✆✄✞✠✟☛✡✲❖☞✞✍✌✏✎✑✌✓✒✔✌✕✟☛P✗✖ ✬

✁✄✂

✭✮✞✮✯✩✰✔✡✲❖☞✞✍✌✏✎✑✌✓✒✔✌✕✟☛P✗✖✔✘ ✙✄✚✜✛✣✢✥✤✄✙✧✦✄★✩✙ ✙✄✪✄✪✝✫✣✪✑✬ ✭✮✞✮✯✩✰✔✡✲❖☞✞✍✌✏✎✑✌✓✒✔✌✕✟☛P✗✖ ✬

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✵✴✶✡✲❖✸✷✹✌✻✺✍✌✻✼ P✗✖✄✖✔✘ ✽ ✆✮✱

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✵✴✶✡✲❖✾✭✠☎✝✆✍✌✓✒✥✞✥✭✿✌✓✱✥✞✥✭✑✌ ❖❁❀❃❂✑✌☞✭✠☎✝✆✍✌❅❄✜✞✥✭✤P☛P✗✖✄✖✔✘ ✽ ✆✮✱

✁✄✂

✴✶✡✲❖ ✚ ❅❆✤P✗✖✔✘ ✚ ❇ ✷✹✌ ❆ ❇ ❖☞✺✍✌✻✼ P ✁ ❈ ✚ ❇ ✭✠☎✝✆✍✌ ❆ ❇ ❖✻✒✥✞✥✭✿✌✓✱✥✞✥✭✿✌ ❖❁❀❃❂✑✌☞✭✠☎✝✆✍✌❉❄✜✞✥✭✤P☛P ✁ ❈ ❂✗❀

✁✄✂

✴✶✡✲❖❁❊❋✌●❊❋✌●❊❋✌ ❖❁❊✿ ✚ P☛P✗✖✔✘ ✚ ❇ ❖✾✭✠☎✝✆✍✌❅❄✜✞✥✭✤P ✁ ❈ ❂✗❀ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ❍

SLIDE 8 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥

✂★
✩

✬ ✄✝✆ ✁

✁✄✂

❖ ✚ ✌☞❆✿✌✂✁ P ❇ ❖☎✄ ❀❃☎✄❂✑✌●✰✧✯✝✆✮✆✮✱✔✌✟✞✝✯✄✱ ☎ P✶✘ ✚ ❇ ✄ ❀❃☎✄❂✑✌ ❆ ❇ ✰✧✯✝✆✮✆✮✱✔✌ ✁ ❇ ✞✝✯✄✱ ☎ ✁ ❈

✁✄✂

❖✻✒✥✞✥✭✤P ❇ ❖ ✚ ❅❆✤P✶✘ ✚ ❇ ✒✥✞✥✭✿✌ ❆ ❇ ❖◗P ✁ ❈

✁✄✂

❖ ✚ ✌☞❆ ✠✁ P ❇ ❖ ❄✜✞✠✲ ✽ ✌●✰✧✯✝✆✮✆✮✱✔✌✠✡✜✯ ❂✝✆ P✶✘ ✚ ❇ ❄✜✞✠✲ ✽ ✌ ❆ ❇ ✰✧✯✝✆✮✆✮✱✔✌ ✁ ❇ ❖☛✡✜✯ ❂✝✆ P ✁ ❈ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ☞

SLIDE 9 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥

✧✮★
✂★✞✁
✁✄✂

❖ ✚ ✌☞❆ ✠✁✍✌✂✁ P ❇ ❖☞✞✍✌✏✎✑✌✓✒✔✌✕✟✳✌✻✆ P✶✘ ✄ ✢ ❆ ✦✩✤✆☎✄✚ ✙✄✪✄✪✝✫✣✪✑✬ ✯ ❂ ✰✧✯ ❂✝✆✮✱ ✝✆✞ ✂✟✝✆✠☛✡ ☞✆☞ P ❀ ✲ ❀❃✴✝✆✠✲ ✞✥✭✝❀ ✲ ✆✍✌✠✴✝✆✮✒ ✭✮✆✠✟ ☞✆☞ ✁✄✂ ❖ ✚ ✌ ❆

☞✆☞ ☎✝✆✠✲ ✆ ☞✆☞ ✌ ✁ P ❇ ❖ ✞ ✌ ✎ ✌ ✒ ✌ ✟ ✌ ✆ P ✘

✁✄✂

❖ ✚ ✌☞❆ ✠✁ P ❇ ❖☞✞✍✌✏✎✑✌✓✒✔✌✕✟✳✌✻✆ P✶✘ ✚ ❇ ✞✍✌ ❆ ❇ ✎✑✌ ✁ ❇ ❖✻✒✔✌✕✟✳✌✻✆ P ✁ ❈ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✎

SLIDE 10 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★ ✬ ✫ ✝✄

✧
★✞✁
✁✄✂

❖ ✚ ❅❆✤P ❇

✽ ✱ ✭✮✆ ❄

✚ ❇ ✷✄✷ ✝✍✌ ❆ ❇ ❖✸✷ ✺✜✷✹✌ ✷✄✷ ✝✍✌ ✷✄✷✂✁✍✌ ✷✂✄✜✷✹✌ ✷✂✄✆✠ P ✁ ❈

✁✄✂

❖☛✡✄☎✜✯ ✭✮✆✑✆☎ P ❇ ❖✞✝

☎✗❀

✲✝✱✥✆ P✶✘ ✝ ❇ ✡✄☎✜✯ ✭✮✆✍✌ ☎ ❇ ☎✗❀ ✲✝✱✥✆ ✁ ❈

✁✄✂

❖☛✡✄☎✜✯ ✭✮✆✑ ☎✗❀ ✲✝✱✥✆ P ❇ ❖✞✝ ✆☎ P✶✘ ✝ ❇ ✡✄☎✜✯ ✭✮✆✍✌ ☎ ❇ ☎✗❀ ✲✝✱✥✆ ✁ ❈ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹✆✟

SLIDE 11 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★ ★ ✧✂✁ ✄ ✄ ✆

✄✝✁

✩ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌☞❆✜✖✔✘ ✂✁ ✄✆☎✞✝✠✟ ✡☞☛✌✟✎✍ ✏ ✂✁ ✑ ✒ ✟✎✒ ✓✔✟✎☎ ✕✗✖ ✄✘☛✙✟ ✚✛✂✁✜✄ ✢ ❘ ❙✽❚ ❴✤✣ ❪ ❫ ❴ ✥ ❴ ❙✧✦ ❑❨●✠❑ ❴ ❙ ▲ ✏ ★✁ ✑ ✒ ✟✎✒ ✓✩✟✎☎ ✕✗✖ ✄✘☛✙✟ ✚✛★✁✜✄✪✫✖ ✏ ★✁ ✄✘☛✙✟ ✁✎✑✬✒ ✟ ✑✭✁ ✄✘☛✌✟ ☛✙✟✮✑✰✯ ✕✗✖ ✄✱☛✌✟ ✚✛✂✁✜✄ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌ ❖ ✚

P✗✖✔✘

✏ ✂✁ ✑ ✒ ✟✎✒ ✓✩✟✎☎ ✕✲✖ ✄✘☛✌✟ ✚✳★✁✜✄✪✫✖ ✏ ✂✁ ✑ ✒ ✟✎✒ ✓✩✟✎☎ ✕✲✖ ✄✘☛✙✟ ✄✴✑✵✶✚✷✕✲✖ ✄✘☛✌✟ ✚✳★✁✜✄ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌ ❖ ❅❆✤P✗✖ ✬ ✂ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌☞❆✜✖✔✘ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹ ✹

SLIDE 12 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥

❴
✣✂✁

❙☎✄

✠❑

❴ ❙☎✆ ❯❂❋✞✝ ❴✠✟ ✝ ✆ ❊ ❑ ❙ ✟ ✡ ✴ ✦✷✣✭✣✭✆✞✂✟✏ ✵✺✥❂✢ ✦✷✣✟✒■✬✎✆✠✄ ✡ ✒✔✕✫✏ ✄✝✵✜✣✭✵✜✕ ✏ ✵✺✥ ✖❵✌✎✚☞☛✓✚✜✚✜✆✠✄ ✌ ❚✍✄ ✁ ✝ ▲ ❑ ❴ ❙ ✡ ✂✟✆✠✒✔✌✎✂☎✥✭✵✏✎✫✆ ✄✝✆✑☛ ✏✎✵✜✣✭✵ ✕✫✏ ✵✶✥ ✌✓✥✭✆✠✄ ✒ ✬✎✆ ✂✟✌✎✚✜✆✠✥ ✦✷✂✾✆ ✌✓✥✭✆✠✄ ✕✓✎ ✆✞✂ ✦✷✏✓✄ ✕✓✎✫✆✑✂ ✕ ✏ ✥✭✢ ✦✷✚ ✚✜✆✞✂ ✴✱✕✫✂✟✣✭✵✜✕✫✏ ✥ ✕✗✖✙✣ ✬✎✆ ✚✜✵✺✥✭✣ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹ ✟

SLIDE 13 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★ ✬ ✫ ✧✂✁☎✄✁ ★

✄ ✩ ✄

✁ ✂ ✵✜✂☎✥ ✣ ✮ ✕ ✏✓✄✝✵✜✣✭✵ ✕✫✏ ✵✶✥ ✣✭✬✎✆ ✓✩✕✬✝ ✍ ✯✰✑✬☎☎✄ ✆✮✕✵✍ ✯✵✶✄✶ ✕✵✍ ❀ ✡ ✬✎✵✺✄✎✄ ✆✞✏ ✰✱✕✫✌✎✏✓✄✎✦✗✂✾★ ✒✔✕✫✏✓✄ ✵✜✣✭✵✜✕✫✏ ✵✺✥✞✝❂✬✎✆✑✏ ✣ ✬✎✆ ✚✜✵✺✥✭✣ ✵✺✥ ✣✭✬✲✆ ✆✑✢ ✴✎✣ ★ ✚✜✵✺✥✭✣✞❄ ✝❂✬✎✵✺✒■✬ ✖❲✦✷✵✜✚✺✥ ❈ ✡☛✆✠✒✔✕✫✏ ✄ ✮✛✕✫✏✓✄✝✵ ✣✭✵✜✕✫✏ ✵✺✥ ✣✭✬✎✆ ☎ ✟☎✆✎✝ ☎✔✁✞✠✟✬✟ ✆✮✑ ✁✎✟ ❆ ✕☛✆✠✥ ✣✭✬✎✆ ✴✎✂✟✕✤✒✔✆✠✥✟✥ ✆ ✎✫✆✑✂ ✥ ✣ ✕✫✴☛✡ ☞ ❚ ▲ ✼✹✏ ✆✠✦✫✒■✬ ✂✾✆✠✒ ✌✎✂■✥✭✵✜✕✫✏ ✣✭✬✲✆ ✚✜✵✺✥✭✣ ✣ ✬✓✦✷✣❂✵✺✥ ✰✱✆✞✵✜✏✎✪ ✒■✬✎✆✠✒✍✌✷✆✠✄ ✵✺✥ ✪✫✆✑✣✭✣✭✵✜✏✎✪ ✥✭✢ ✦✷✚✜✚✜✆✑✂ ✎ ✏✩✣✭✵✜✚ ✒ ✬✎✆ ✴✎✂✟✆✠✄✝✵✶✒✞✦✷✣✭✆ ✵✶✥ ✥✾✦✗✣✭✵✺✥ ☛ ✆✠✄ ✕✫✂ ✒ ✬✎✆ ✆✞✢ ✴✎✣✹★ ✚✜✵✺✥✭✣ ✵✶✥ ✂✟✆✠✦✫✒■✬✎✆✠✄ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹ ❞

SLIDE 14 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★ ★ ✧

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡❉❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌ ❖ ✚ ☞❊ P✗✖✄✖✄✖✔✘ ✭✧✲✁✝✆ ✁ ✽ ✆✮✱

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡❉❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌ ❖❁❊✿❅❆ P✗✖ ✬ ✂ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✚ ✌☞❆✜✖✄✖✄✖✔✘ ✭✧✲✁✝✆ ✁ ❆✮✆✮✱

✁✄✂

❄✜✆ ❄✮✎✝✆✠✲☛✡ ✞✍✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✞✍✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✂ ✷ ✷ ✙ ✌ ✯ ✭ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✞✍✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✽ ✆✮✱

✁✄✂

❄✜✆ ❄✮✎✝✆✠✲☛✡✵✎✑✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡✵✎✑✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✂ ✺ ✺ ★ ✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡✵✎✑✌ ❖❅✎✑✌✓✒✗P✗✖ ✁ ✂ ✺ ✺ ✙ ✌ ✯ ✭ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡✵✎✑✌ ❖❅✎✑✌✓✒✗P✗✖ ✁ ✂ ✷ ✷ ✙ ✌ ✯ ✭ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡✵✎✑✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✽ ✆✮✱ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹

SLIDE 15 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ★ ★ ✧

✧ ★

✁✄✂

❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✂ ✺ ✺ ★ ✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖❅✎✑✌✓✒✗P✗✖ ✁ ✂ ✼ ✼ ★ ✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖✻✒✗P✗✖ ✁ ✂

✞ ✰✄✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖◗P✗✖ ✁ ✂

✞✮✯✩✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖◗P✗✖ ✁ ✂ ✼ ✼ ✁ ✞✮✯✩✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖✻✒✗P✗✖ ✁ ✂ ✺ ✺ ✁ ✞✮✯✩✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖❅✎✑✌✓✒✗P✗✖ ✁ ✂ ✷ ✷ ✁ ✞✮✯✩✰ ✬ ❄✜✆ ❄✮✎✝✆✠✲☛✡ ✟✳✌ ❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ❂✗❀ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹ ✏

SLIDE 16 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✄ ✧✮✬ ✫

★ ✆ ✄☎✩ ✄

✁

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡✵✴✝✞✠✲ ✆✣❂ ✭✳✡ ✚ ✌☞❆✜✖ ✬ ✂✮✒ ☎✜✯✩✰ ✟ ✡✕❆✿✌ ✚ ✖✧✖✄✖✔✘ ✭✧✲✁✝✆ ✁ ✽ ✆✮✱

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡ ✒ ☎✜✯✩✰ ✟☛✡ ☎ ✌✁✜✖ ✬ ✂❃✴✗✞✠✲ ✆✣❂ ✭✶✡✂✿✌ ☎ ✖✧✖✄✖✔✘ ✭✧✲✁✝✆ ✁ ✽ ✆✮✱

✁✄✂

✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖ ✁ ✂ ✺ ✺ ★ ✞ ✰✄✰ ✬ ✒ ☎✜✯✩✰ ✟☛✡✵✎✜✯✩✰✄✰❋✌☞✭✝❀ ❄ ✖ ✁ ✂ ✼ ✼ ★ ✞ ✰✄✰ ✬ ✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖ ✁ ✂

✞ ✰✄✰ ✬ ✒ ☎✜✯✩✰ ✟☛✡✵✎✜✯✩✰✄✰❋✌☞✭✝❀ ❄ ✖ ✁ ✂ ✝ ✝ ★ ✞ ✰✄✰ ✬ ✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖ ✁ ✂ ✁ ✁ ★ ✞ ✰✄✰ ✬ ✒ ☎✜✯✩✰ ✟☛✡✵✎✜✯✩✰✄✰❋✌☞✭✝❀ ❄ ✖ ✁ ✂ ✄ ✄ ★ ✞ ✰✄✰ ✬ ✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖ ✁ ✂ ✞ ✞ ★ ✞ ✰✄✰ ✬ ✒ ☎✜✯✩✰ ✟☛✡✵✎✜✯✩✰✄✰❋✌☞✭✝❀ ❄ ✖ ✁ ✂ ✠ ✠ ★ ✞ ✰✄✰ ✬ ✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖ ✁ ✂ ✷✂✄ ✷✂✄ ★ ✞ ✰✄✰ ✬ ✒ ☎✜✯✩✰ ✟☛✡✵✎✜✯✩✰✄✰❋✌☞✭✝❀ ❄ ✖ ✁ ✂ ✷✄✷ ✷✄✷ ★ ✞ ✰✄✰ ✬ ✴✝✞✠✲ ✆✣❂ ✭✳✡✕✭✝❀ ❄ ✌✏✎✜✯✩✰✄✰✮✖ ✁ ✂ ✷ ✺ ✷ ✺ ★ ✞ ✰✄✰ ✬ ✒ ☎✜✯✩✰ ✟☛✡✵✎✜✯✩✰✄✰❋✌☞✭✝❀ ❄ ✖ ✁ ✞ ❀ ✲ ✆✆☎✮✆✠✲ ✞✣❂✮✟ ✆✆☎✮✆✠✲ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹ ✡

SLIDE 17 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✧ ★ ✧

★ ✄ ✬

★✞✁

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡✵✴✝✆✠✲✝✱✩❀❃❂✶✡ ✚ ✖ ✬ ✂ ✴✝✆✠✲✝✱✩❀❃❂✶✡✕❆✜✖ ✌ ❄ ❀✣✭✠☎✝✆✠✲☛✡ ✚ ✌☞❆✜✖✄✖✄✖✔✘ ✭✧✲✁✝✆ ✁ ✽ ✆✮✱

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡✵✴✝✆✠✲✝✱✩❀❃❂✶✡ ✞✠✟ ✞ ❄ ✖✄✖ ✖✔✘ ✽ ✆✮✱

✁✄✂

✴✝✆✠✲✝✱✩❀❃❂✶✡ ✚ ✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✁✜✷✥✖ ✁ ✂ ✺ ✺ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊✠✼✜✷ ✝✝✖ ✁ ✂ ✼ ✼ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊✟✝✜✷ ✺✝✖ ✁ ✂

✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✄ ✄✆✠✝✖ ✁ ✂ ✝ ✝ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊✟✠ ✄ ✁✝✖ ✁ ✂ ✁ ✁ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✷✄✷✂✄✄✼✝✖ ✁ ✂ ✄ ✄ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✷ ✼ ✄ ✄✝✖ ✁ ✂ ✞ ✞ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✷

✄ ✖ ✁ ✂ ✠ ✠ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✷✂✁✆✠

✁ ✂ ✷✂✄ ✷✂✄ ★ ✞ ✰✄✰ ✬ ✴✝✆✠✲✝✱✩❀❃❂✶✡✓❊ ✷ ✞✆✠✜✷✥✖ ✁ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹❁❍

SLIDE 18 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖ ☎

✤P✗✖

✬ ✂ ✯✄✱✩✰✧✯✄✱ ✭✳✡✂✜✖✄✖✄✖✔✘

✁✄✂

✞✮✱✄✱✥✆✠✲✩✭✳✡✄✡ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖◗P✗✖✄✖✄✖✔✘

✁✄✂

✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖☞✞✍✌✏✎✑✌✓✒✗P✗✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✂ ✺ ✺ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖❅✎✑✌✓✒✗P✗✖ ✁ ✂ ✼ ✼ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖✻✒✗P✗✖ ✁ ✂

✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖◗P✗✖ ✁ ✂

✌ ✯ ✭ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖◗P✗✖ ✁ ✂ ✼ ✼ ✙ ✌ ✯ ✭ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖✻✒✗P✗✖ ✁ ✂ ✺ ✺ ✙ ✌ ✯ ✭ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖❅✎✑✌✓✒✗P✗✖ ✁ ✂ ✷ ✷ ✙ ✌ ✯ ✭ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖☞✞✍✌✏✎✑✌✓✒✗P✗✖ ✁ ✽ ✆✮✱

✁✄✂

✯✄✱✩✰✧✯✄✱ ✭✳✡ ✚ ✖✔✘ ✂ ✷ ✷ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊ ✁✜✷✥✖ ✁ ✂ ✺ ✺ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊✠✼✜✷

✁ ✂ ✼ ✼ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊✟✝ ✄ ✄ ✖ ✁ ✂

✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊ ✄ ✄ ✄✝✖ ✁ ✂ ✝ ✝ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊✟✞✆✠✄✼✝✖ ✁ ✂ ✁ ✁ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊ ✷✂✄✆✞ ✁✝✖ ✁ ✂ ✄ ✄ ★ ✞ ✰✄✰ ✬ ✯✄✱✩✰✧✯✄✱ ✭✳✡✓❊ ✷ ✺ ✄ ✠✝✖ ✁ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹☎☞

SLIDE 19 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥ ✩ ★ ✧ ✧ ★ ✧

✁✄✂

❖ ✜✱✥✆✠✲☛P✶✘

✯✄✱✩✰✧✯✄✱

✭✮✺ ✡✲❖◗P✗✖✔✘

✯✄✱✩✰✧✯✄✱

✭✮✺ ✡✲❖❁❊✿❅❆✤P✗✖ ✬ ✂ ✯✄✱✩✰✧✯✄✱ ✭✮✺ ✡✕❆✜✖✔✘

✜✱✥✆✠✲ ✒✩❀❃❂✜✱ ✗✰✣✭✮✆✠✟✳✌ ✷✂✄ ❄✹✱✥✆✮✒ ✼ ✁✆✞ ✎ ✽ ✭✮✆✮✱ ✡

✁✄✂

✯✄✱✩✰✧✯✄✱ ✭✮✺ ✡ ✚ ✖✔✘ ✚ ❇ ❖◗P ✁ ❈ ✚ ❇ ❖❁❊ ☎ P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✤P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✿✌●❊ ★ P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✿✌●❊ ★ ✌●❊

✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✿✌●❊ ★ ✌●❊

✌●❊

✙ P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✿✌●❊ ★ ✌●❊

✌●❊

✙ ✌●❊ ✁ P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✿✌●❊ ★ ✌●❊

✌●❊

✙ ✌●❊ ✁ ✌●❊✂✁☛P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ✌●❊ ✿✌●❊ ★ ✌●❊

✌●❊

✙ ✌●❊ ✁ ✌●❊✂✁✳✌ ❊☎✄✤P ✁ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✹ ✎

SLIDE 20 ✂✁☎✄✝✆✞✄✠✟ ✡☞☛✍✌☎✎✑✏✒☛ ✓✕✔✗✖✙✘✛✚✜✏✒✢✤✣✦✥

✁✄✂

❖ ✜✱✥✆✠✲☛P✶✘

✯✄✱✩✰✧✯✄✱

✭✳✡✲❖◗P✗✖✔✘

✯✄✱✩✰✧✯✄✱

✭✳✡✲❖❁❊✿☞❊ P✗✖✔✘

✜✱✥✆✠✲ ✒✩❀❃❂✜✱ ✗✰✣✭✮✆✠✟✳✌ ✄ ❄✹✱✥✆✮✒

✄ ✎ ✽ ✭✮✆✮✱ ✡

✁✄✂

✯✄✱✩✰✧✯✄✱ ✭✳✡✲❖☞✞✍✌✏✎✑✌✓✒✗P✗✖✔✘ ✽ ✆✮✱

✁✄✂

✯✄✱✩✰✧✯✄✱ ✭✳✡ ✚ ✖✔✘ ✚ ❇ ❖◗P ✁ ❈ ✚ ❇ ❖❁❊ ☎ ☞❊ ✤P ✁ ❈ ❂✗❀ ✯✝✎✱✰✦✎✭✓✲✰✳✏✒✚✜✣✴✰✵✚✜✏✒✶✸✷ ✟ ✟

parents(charles,elizabeth,philip). parents charles elizabeth philip a+b*c a b c + * book(moby_dick,author(herman,melville)). book moby_dick author herman melville

john likes mary.

.(a,.(b,.(c,[])))

. . . a b c [] Head (CAR) Tail (CDR)

parents(charles,elizabeth,philip). parents charles elizabeth philip a+bc a b c + book(moby_dick,author(herman,melville)). book moby_dick author herman melville