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The exhaustive list of topics in Theory of Computation in which we provide Help with Homework Assignment and Help with Project is as follows:

• Regular languages
• Compubality and tractability
• Why it suffices to consider only decision problems
• Equivalently
• Set membership problems
• Notion of a formal language
• DFAs and notion for their acceptance
• Informal and then formal definitions
• Class of regular languages
• Closure of the class under complementation
• Union and intersection
• Strategy for designing DFAs
• Pumping lemma for regular languages
• Its use as an adversarial game
• Generalized version
• Converses of lemmas do not hold
• NFAs. Notion of computation trees
• Definition of languages accepted
• Construction of equivalent DFAs of NFAs
• NFAs with epsilon transitions
• Guess and check paradigm for design of NFAs
• Regular expressions
• Proof that they capture precisely class of regular languages
• Closure properties of and decision problems for regular languages
• Myhill-Nerode theorem as characterization of regular languages
• States minimization of DFAs
• Context free languages
• Notion of grammars and languages generated by grammars
• Equivalence of regular grammars and finite automata
• Context free grammars and their parse trees
• Context free languages. Ambiguity
• Pushdown automata (PDAs): deterministic and nondeterministic Homework Help
• Instantaneous descriptions of PDAs
• Language acceptance by final states and by empty stack. Equivalence of these two
• PDAs and CFGs capture precisely the same language class
• Elimination of useless symbols
• Epsilon productions
• Unit productions from CFGs
• Chomsky normal form
• Pumping lemma for CFLs and its use
• Closure properties of CFLs
• Decision problems for CFLs
• Turing machines, languages, undecidability
• Informal proofs that some computational problems cannot be solved
• Turing machines (TMs), their instantaneous descriptions
• Language acceptance by TMs
• Hennie convention for TM transition diagrams
• Robustness of the model-- equivalence of natural generalizations as well as restrictions equivalent to basic model
• Church-Turing hypothesis and its foundational implications
• Codes for TMs
• Recursively enumerable (r.e.) and recursive languages
• Existence of non-r.e. languages
• Notion of undecidable problems
• Universal language