Logspace complexity of functions and structures is based on the notion of a Turing machine with input and output as in Papadmitriou . For any k > 1, we construct a logspace isomorphism between {0,1}~* and {0,1,..., k}~*. We improve results of Cenzer and Remmel...
What are the differences betweenNP,NP-Complete andNP-Hard? 0. 基本定义 判定问题(decision problem):一个答案是是或否的问题‘ 无论是 P 问题,还是NP问题,NP-完全问题,NP-难问题,都是某类问题的总称(集合),都是一种特定的 complexity classes; 1. 一张图示 如图示: ...
Computer Science - Computational ComplexityIn this paper, we develop a quantified propositional proof systems that corresponds to logarithmic-space reasoning. We begin by defining a class SigmaCNF(2) of quantified formulas that can be evaluated in log space. Then our new proof system GL^* is ...
Rosier, L.E., Yen, HC. (1985). Logspace hierarchies, polynomial time and the complexity of fairness problems concerningω-machines. In: Monien, B., Vidal-Naquet, G. (eds) STACS 86. STACS 1986. Lecture Notes in Computer Science, vol 210. Springer, Berlin, Heidelberg. https://doi.org/...
Functional encryption (FE), formally introduced by Boneh et al. [24] and O’Neill [69], redefines the classical encryption procedure with the motivation to overcome the limitation of the “all-or-nothing” paradigm of decryption. In a traditional encryption system, there is a single secret key...
1 Introduction In [RA97], a probabilistic construction was used to show that the complexity classes NL/poly and UL/poly coincide. That is, in the context of nonuniform complexity, nonuniform logspace is no more powerful than unambiguous logspace. It was observed in [AR98] that the equality...
1 Introduction An important open question in complexity theory is whether the two classes NL and NP are equal. Although in the case of computing partial multivalued functions nondeterministically the corresponding classes can be separated [Bur89], a solution for the class of decision problems is ...
1 IntroductionA lot of work has been done in order to provide recursion-theoretic characteriza-tions of relevant classes of computational complexity. Some of these machine in-dependent characterizations address explicitly the resource constraints of the com-plexity classes by imposing bounds in the ...
Datastax said that Langflow integrates with its RAGStack—an offering released in November last year to simplify implementation ofretrieval augmented generation (RAG)applications built with LangChain. RAGStack reduces complexity by providing a streamlined, tested, and efficient set of ...
In this article we chronologically survey the closure under complementation results for several logspace-bounded complexity classes, namely the early collapses of the logspace alternation and oracle...doi:10.1007/BFb0052085Birgit JennerSpringer Berlin Heidelberg...