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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:

  • TM Variants, Church-Turing Thesis
  • Schur complement method
  • Sparse methods
  • Decision Problems for Automata and Grammars
  • Lincoln Labs view of the cloud; Intro to MapReduce
  • Linearly Bounded Automata, PCP
  • Nondeterminism, Closure Properties, Regular Expressions ? FA
  • LU decomposition
  • Finite Automata, Regular Expressions
  • Project discussion session
  • Parallel prefix
  • CF Pumping Lemma, Turing Machines
  • Recursion Theorem and Logic
  • Undecidability
  • Fast multipole method
  • Domain decomposition, PDEs
  • Fast Fourier Transform (FFT)
  • Time Complexity
  • Regular Pumping Lemma, Context Free Languages
  • MapReduce, graph partitioning
  • Parallel programming in Julia
  • Ring and hypercube topologies
  • Student project presentations
  • Pushdown Automata, CFG ? PDA
  • P and NP, SAT, Poly-time Reducibility
  • NP-Completeness
  • Cook-Levin Theorem
  • Space Complexity
  • PSPACE, TQBF, Savitch's Theorem
  • Games, Generalized Geography
  • L and NL, NL= coNL
  • Hierarchy Theorems
  • Provably Intractable Problems, Oracles
  • Probabilistic Computation, BPP
  • Probabilistic Computation
  • Interactive Proof Systems, IP