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Theoretical computer science
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{{Short description|Subfield of computer science and mathematics}} {{about|the branch of computer science and mathematics|the journal|Theoretical Computer Science (journal){{!}}''Theoretical Computer Science'' (journal)}} {{Distinguish|Theory of computation}} [[File:DFAexample.svg|thumb| 250px|A [[finite-state automaton]] from [[automata theory]], a branch of theoretical computer science]] '''Theoretical computer science''' is a subfield of [[computer science]] and [[mathematics]] that focuses on the [[Abstraction|abstract]] and mathematical foundations of [[computation]]. It is difficult to circumscribe the theoretical areas precisely. The [[Association for Computing Machinery|ACM]]'s [[Special Interest Group on Algorithms and Computation Theory]] (SIGACT) provides the following description:<ref>{{cite web | title = SIGACT | url = https://www.sigact.org/ | access-date = 2017-01-19}}</ref> {{"|TCS covers a wide variety of topics including [[algorithms]], [[data structure]]s, [[computational complexity theory|computational complexity]], [[parallel computation|parallel]] and [[distributed computation|distributed]] computation, [[probabilistic computation]], [[quantum computation]], [[automata theory]], [[information theory]], [[cryptography]], [[program semantics]] and [[Formal methods|verification]], [[algorithmic game theory]], [[machine learning]], [[computational biology]], [[computational economics]], [[computational geometry]], and [[computational number theory]] and [[Symbolic computation|algebra]]. Work in this field is often distinguished by its emphasis on mathematical technique and [[rigor#Mathematical rigour|rigor]].}}
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