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Formal Methods Foundation

Schedule

Only few of the electronic lecture notes are available here, most are on blackboard.

This schedule is tentative and subject to change at any time.


Date Topic Lectures Assignments
Feb. 27 Introduction LEC: introduction;
Basic set theory;
Context-free grammars;
Principal of induction;
(powerset code)
(grammar code)

Read: background;
grammars;
induction 		Lab 1: Software setup
DDL: Mar. 13
Mar. 6 Propositional logic Constructive logic LEC: Syntax;
Natural deduction;
Semantics (truth table, Boolean algebra);
Soundness and completeness;
(prop-notes | cons-notes)

Read: propositional logic;
constructive logic 		Lab 2: Proof engineering
DDL: Mar. 20
Mar. 13 SAT LEC: Normal form;
Resolution;
DPLL;
(notes)
(subset sum code)
(knapsack code)
(n-queen code)

Read: SAT 		Lab 3: SAT
DDL: Mar. 27
Mar. 20 Recitation I notes: notes
Mar. 27 Predicate logic LEC: Syntax;
Natural deduction;
Semantics;
Soundness and completeness;
(notes)
(deduction code)

Read: predicate logic 		 
Apr. 3 EUF theory LEC: Theories;
Equality;
uninterpreted functions;
(notes)
(connectivity code)

Read: EUF theory 		Lab 4: Theory for EUF
DDL: Apr. 17
Apr. 10 Linear arithmetic LEC: Syntax;
Fourier-Motzkin;
Simplex;
Branch and Bound;
(notes)
(IMO code)

Read: Linear arithmetic 		Lab 5: Linear arithmetic
DDL: May. 1
Apr. 17 Recitation II notes: notes
Apr. 24 Theories for
data structures I 		LEC: Bit vectors;
Arrays;

Read: Bit vectors
Arrays
Lab 6: Theories for Data Structures
DDL: May. 15
May. 1 No class Happy Labor Day!
May. 22 Theories for
data structures II 		LEC: Pointers (notes)

Read: Pointers
May. 29 Theory combination
 LEC: Theory combination;
DPLL(T);

Read: Theory combination ;
DPLL(T)
Jun. 5 Symbolic execution LEC: Operational semantics ;
Path condition;
Symbolic execution ;
Concolic execution;

Read: Operational semantics ;
Survey of symbolic execution ;
DART 		Lab 7: Symbolic execution
Jun. 12 Verification LEC: Hoare triple ;
Axiomatic semantics;
VC generation ;
Verus example;

Read: Hoare logic ;
Proof-Carrying Code 		Lab 8: Hoare logic
Jun. 19 Program synthesis LEC: Program synthesis (notes)

Read: TBA 		Lab 9: Program synthesis
Jun. 26 Recitation III notes: TBA
TBA Final test Location: TBA

Open book, open notes;
no electronic devices.

Good luck!