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Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

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Page 1: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 2: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 3: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 4: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 5: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 6: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 7: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 8: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 9: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 10: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 11: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 12: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 13: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 14: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 15: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 16: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 17: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 18: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 19: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 20: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 21: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 22: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 23: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 24: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 25: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 26: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 27: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 28: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 29: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 30: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 31: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 32: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 33: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 34: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 35: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 36: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 37: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 38: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 39: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 40: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 41: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 42: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 43: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 44: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 45: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 46: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 47: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 48: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 49: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 50: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 51: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 52: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 53: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 54: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 55: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

Page 56: Computer Science | University of Colorado Boulderketelsen/files/courses/csci2824/slides… · Quantifiers have the narrowest scope of all logical operands Example: Vx (P(x) A Q(x))

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