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Software Foundations

Reading and working through the exercises in Software Foundations.

Roughly following these suggested exercises.

  • Basics:
    • factorial
    • plus_id_exercise
    • zero_nbeq_plus_1
    • boolean functions
    • andb_eq_orb
    • binary
    • decreasing
  • Induction:
    • basic_induction
    • plus_comm
    • mult_comm
    • evenb_n__oddb_Sn
    • binary_commute
    • binary_inverse
  • Lists:
    • bag_functions
    • bag_theorem
    • list_exercises
    • list_design
    • bag_count_sum
    • rev_injective
  • Poly:
    • split
    • map_rev
    • fold_length
    • fold_map
  • MoreCoq:
    • silly_ex
    • rev_exercise1
    • beq_nat_0_l.
    • plus_n_n_injective
    • beq_nat_true
    • gen_dep_practice
    • combine_split
    • override_same
    • destruct_eqn_practice
    • beq_nat_sym
    • beq_nat_trans
    • split_combine
    • override_permute
  • Prop:
    • gorgeous_sum
    • beautiful__gorgeous
    • ev_ev__ev
    • palindromes
    • MoreProp:
    • total_relation
    • empty_relation
    • R_provability
    • R_fact
    • combine_odd_even
  • Logic:
    • True
    • contrapositive
    • not_exists_dist
    • dist_exists_or
    • leibniz_equality
    • all_forallb
    • no_repeats
    • pigeonhole principle
    • ProofObjects:
    • double_even_pfobj
    • trans_eq_example_redux
  • Imp:
    • optimize_0plus_b
    • bevalR
    • update_same
    • update_permute
    • loop_never_stops
    • no_whiles_terminating
    • stack_compiler
    • stack_compiler_correct
  • Hoare:
    • valid_triples
    • hoare_asgn_wrong
    • hoare_asgn_examples_2
    • hoare_asgn_example4
    • swap_exercise
    • if_minus_plus
    • if1_hoare

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Learning formal verification.

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