Predicate Logic

More documents

Recommendations

Info

A common mistake to avoid Typically, ⇒ is the main connective with ∀ Common mistake: using ∧ as the main connective with ∀: ∀x At(x,NUS) ∧ Smart(x) means “Everyone is at NUS and everyone is smart” Artificial Intelligence: Predicate Logic Slide: 16
Existential quantification ∃ Someone at NUS is smart: ∃x At(x,NUS) ∧ Smart(x )$ ∃x P is true in a model m iff P is true with x being some possible object in the model Roughly speaking, equivalent to the disjunction of instantiations of P At(KingJohn,NUS) ∧ Smart(KingJohn) ∨ At(Richard,NUS) ∧ Smart(Richard) ∨ At(NUS,NUS) ∧ Smart(NUS) ∨ ... Artificial Intelligence: Predicate Logic Slide: 17
Page 1 and 2: Chapter 08 Predicate Logic Instruct
Page 3 and 4: Acknowledgment The slides in this P
Page 5 and 6: Why FOL? Pros and cons of propositi
Page 7 and 8: Prepositional Logic: Examples Sente
Page 9 and 10: Predicate Logic: Examples Ability o
Page 11 and 12: Syntax of FOL: Basic elements Cons
Page 13 and 14: Complex sentences Complex sentence
Page 15: Universal quantification ∀ Ever
Page 19 and 20: Properties of quantifiers ∀x ∀
Page 21 and 22: The kinship domain: Brothers are
Page 23 and 24: Predicate Logic: Representation 1.
Page 25 and 26: Predicate Logic: Representation 6.
Page 27 and 28: Predicate Logic: Representation Gi
Page 29 and 30: Predicate Logic: Proof ¬loyalto(Ma
Page 31 and 32: Predicate Logic: Exception Excepti
Page 33 and 34: Predicate Logic: Exception Excepti
Page 35 and 36: Predicate Logic: Function + Computa
Page 43 and 44: Universal instantiation (UI) Every
Page 45 and 46: Reduction to propositional inferenc
Page 47 and 48: Resolution Convert to clause form,
Page 49 and 50: Resolution 1. Remove using the equ
Page 51 and 52: 2. Move ¬ next to terms: Resolutio
Page 53 and 54: Resolution 4. Move qualifier to lef
Page 55 and 56: Resolution 6. Remove every qualifie
Page 57 and 58: 7. Convert to CNF. = Resolution [¬
Page 59 and 60: Resolution 9. Add every qualifier t
Page 61 and 62: Substitution and Unification X: Va
Page 63 and 64: Substitution and Unification Union
Page 65 and 66: Substitution and Unification Union
Page 67 and 68:
Substitution and Unification mgu:
Page 69 and 70:
Dis-set: Example: Substitution and
Page 71 and 72:
Substitution and Unification Claus
Page 73 and 74:
Substitution and Unification Resol
Page 75 and 76:
Substitution and Unification Proof
Page 77 and 78:
# 1 2 3 4 5 6 7 8 9 10 11 Clauses m
Page 79 and 80:
Homeworks Prove: ¬alive(Marcus, no
show all

Predicate Logic

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?