. 2.3 semidefinite and linear programming semidefinite programming is an important subfield of optimization [ wsv12 ] that has numerous applications in quantum information theory [ st21 , wat18 ]. a typical formulation of a semidefinite program (sdp) has the form [ wsv12 , section 1.1]: ...
Linear algebra is central to many algorithms in engineering, science, and machine learning; hence, accelerating it would have tremendous economic impact. Quantum computing has been proposed for this purpose, although the resource requirements are far bey
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First-order logic (FO, for short) is the restriction of MSO to formulas over first-order variables. A class of [Math Processing Error]-labelled graphs [Math Processing Error] is MSO-definable, resp., FO-definable, if there is an MSO, resp., FO, formula φ such that [Math Processing ...
Thomas [142] has shown that the LTL definable ω-languages correspond to the class of star-free ω-regular languages, an interesting subclass of the ω-regular languages which results from restricting the monadic second order logic over infinite words (S1S) to first-order logic. Because of ...
12, 757–759 (1963). Google Scholar M. Fiedler and V. Ptak, “Estimates and iteration procedures for proper values of almost decomposable matrices,” Chekh. Mat. Zh.,14, No. 4, 593–608 (1964). Google Scholar M. Fiedler and V. Ptak, “Some results on matrices of class K and ...
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(such as graph problems: topological sorting, strong connectivity...) and most combinatorial NP-complete problems belong to NLINEAR. The interest of NLINEAR class is enhanced by the following fact: some natural NP-complete problems, for example “reduction of incompletely specified automata” (in ...
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