On the construction of parallel computers from various bases of Boolean functions
Theoretical Computer Science
Parallel complexity theory
A universal interconnection pattern for parallel computers
Journal of the ACM (JACM)
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
The complexity of theorem-proving procedures
STOC '71 Proceedings of the third annual ACM symposium on Theory of computing
Synchronous parallel computation.
Synchronous parallel computation.
Simultaneous resource bounds and parallel computation
Simultaneous resource bounds and parallel computation
The circuit value problem is log space complete for P
ACM SIGACT News
Theoretical Computer Science
Non-deterministic Boolean proof nets
FOPARA'09 Proceedings of the First international conference on Foundational and practical aspects of resource analysis
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Nondeterministic analogues of the well-known language classes NC and SC called NNC and NSC, respectively, are investigated. NC is the class of languages that can be accepted by small, fast parallel computers; SC is the class of languages that can be recognized by a deterministic Turing machine in polynomial time and polylog tape-head reversals. Adding nondeterminism to SC leaves it in the domain of parallel computation since NSC contained in POLYLOGSPACE. That is, NSC is a subset of the class of languages computable by fast parallel computers. Adding nondeterminism to NC appears to make it much more powerful since NNC=NP. It is clear that NSC contained in NNC, and probable that NSC contained in/implied by NNC. Further evidence for this conjecture is provided by showing that NSC is precisely the class of languages recognizable in simultaneous polynomial time and polylog reversals by a nondeterministic Turing machine with a read-only input tape and a single read-write work tape; it is known that NNC is similar, but is recognizable by a Turing machine with two read-write tapes.