1 / 7

Ch. 8 – First Order Logic

Ch. 8 – First Order Logic. Supplemental slides for CSE 327 Prof. Jeff Heflin. Syntax of First-Order Logic. Sentence  AtomicSentence | ComplexSentence AtomicSentence  Predicate(Term,…) | Term = Term ComplexSentence  ( Sentence ) |  Sentence

kochava
Download Presentation

Ch. 8 – First Order Logic

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Ch. 8 – First Order Logic Supplemental slides for CSE 327 Prof. Jeff Heflin

  2. Syntax of First-Order Logic Sentence  AtomicSentence | ComplexSentence AtomicSentence  Predicate(Term,…) | Term = Term ComplexSentence  (Sentence) |  Sentence | Sentence  Sentence | Sentence  Sentence | Sentence  Sentence | Sentence  Sentence | Quantifier Variable,… Sentence Term  Function(Term,…) | Constant | Variable Quantifier   |  From Figure 8.3, p. 293

  3. Knowledge-Based Agent function KB-Agent(percept) returns an actionpersistent: KB, a knowledge baset, a counter, initially 0 indicating time TELL(KB, Make-Percept-Sentence(percept, t)) action ASK(KB, Make-Action-Query(t)) TELL(KB, Make-Action-Sentence(action, t))t t + 1return action From Figure 7.1, p. 236

  4. Minesweeper PEAS Description • Performance Measure • percentage of mines found • Environment • NxM grid with random placement of mines • Actuators • choose a square • Sensors • chosen square has x adjacent mines • or uncover mine and lose game

  5. Minesweeper Predicates • Environment • Mine(s) • square s has a mine in it • Sensing • NearbyMines(s,k) • square s has k adjacent mines • Cleared(s) • square s is safe (didn’t uncover a mine)

  6. Minesweeper Axioms • s Cleared(s) Mine(s) • s,r NearbyMines(s,0)  Adjacent(s,r) Mine(r) • s NearbyMines(s,1) r Adjacent(s,r)  Mine(r) (t Adjacent(s,t)  Mine(t)  r=t) • also need 6 other rules for 1<k<8 • s,r NearbyMines(s,8)  Adjacent(s,r)  Mine(r) • x,y,a,b Adjacent([x,y],[a,b])  (a=x+1  a=x  a=x-1)  (b=y  b=y+1  b=y-1) (a=x  a=y)  Legal([x,y])  Legal([a,b]) • x,y Legal([x,y])  x > 0  y > 0  x  N  y  M

  7. Kinship Domain A1: x Male(x) Female(x) A2: w,h Husband(h,w)  Male(h)  Spouse(h,w) A3: x,y Spouse(x,y)  Spouse(y,x) A4: p,c Parent(p,c)  Child(c,p) A5: x,y Parent(x,y)  Ancestor(x,y) A6: x,y,z Ancestor(x,y)  Parent(y,z)  Ancestor(x,z) A7: x,y Sibling(x,y) xyp Parent(p,x)  Parent(p,y)

More Related