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Book Exercise Lanes

Complete P1–P20 and use feedback first. Additional book exercises repair specific gaps; they do not replace independent assessment. Use the reading guide to locate the topic in MCS or Rosen.

LaneChoose after a diagnosed missRequired output
LogicOne mixed-quantifier translation and one invalid argumentNegation, witness dependency and countermodel
Proof constructionOne implication and one iff statementComplete proof; explain the hypothesis used in each direction
Sets/functionsOne set identity and one map classificationArbitrary-element proof and a typed witness/collision table
Relations/ordersOne equivalence and one partial-order exerciseProperty proofs, classes, representatives and extrema
InductionOne sum/divisibility claim and one recursively generated objectJustified bases, hypothesis scope and all constructors

Record book, edition, section, exercise ID, first attempt, assistance and correction. Select different problems for the unaided recheck. Answer availability varies; an odd-numbered answer is useful only if it matches the same edition and exercise. Do not fabricate errors to reach a quota. If an exercise is already easy, choose a changed assumption or prove why the original hypothesis was needed.