The complexity of theorem-proving procedures

SA Cook - Logic, automata, and computational complexity: The …, 2023 - dl.acm.org
It is shown that any recognition problem solved by a polynomial time-bounded
nondeterministic Turing machine can be “reduced” to the problem of determin ing whether a …

[PDF][PDF] Alternation

AK Chandra, DC Kozen, LJ Stockmeyer - Journal of the ACM (JACM), 1981 - dl.acm.org
Alternation is a generalization of nondeterminism in which existential and universal
quantitiers can alternate during the course of a computation, whereas in a nondeterministic …

On the computational complexity of combinatorial problems

RM Karp - Networks, 1975 - Wiley Online Library
A large class of classical combinatorial problems, including most of the difficult problems in
the literature of network flows and computational graph theory, are shown to be equivalent …

On uniform circuit complexity

WL Ruzzo - Journal of Computer and System Sciences, 1981 - Elsevier
We argue that uniform circuit complexity introduced by Borodin is a reasonable model of
parallel complexity. Three main results are presented. First, we show that alternating Turing …

[图书][B] Computability and complexity: from a programming perspective

ND Jones - 1997 - books.google.com
Computability and complexity theory should be of central concern to practitioners as well as
theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal …

The complexity of acyclic conjunctive queries

G Gottlob, N Leone, F Scarcello - Journal of the ACM (JACM), 2001 - dl.acm.org
This paper deals with the evaluation of acyclic Boolean conjunctive queries in relational
databases. By well-known results of Yannakakis [1981], this problem is solvable in …

Turing universality of the game of life

P Rendell - Collision-based computing, 2002 - Springer
This chapter describes a Turing machine built from patterns in the Conway's Game of Life
cellular automaton. It outlines the architecture of the construction, the structure of its parts …

An observation on time-storage trade off

SA Cook - Proceedings of the fifth annual ACM symposium on …, 1973 - dl.acm.org
Recently there have been several attempts to prove that every set of strings in@@@@(ie,
recognizable in deterministic polynomial time) can be recognized in deterministic storage …

Tree-size bounded alternation

WL Ruzzo - Proceedings of the eleventh annual ACM symposium …, 1979 - dl.acm.org
The size of an accepting computation tree of an alternating Turing machine (ATM) is
introduced as a complexity measure. Tree-size on ATM's is shown to closely correspond to …

[图书][B] On some central problems in computational complexity.

J Simon - 1975 - search.proquest.com
2.2 Machine models Throughout this thesis we will be considering computing devices as
acceptors of sets of sequences, or languages. Al ternatively we may view these as 0-1 …