Nondeterminism fairness and a fundamental analogy
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Summary
A model for unbounded nondeterministic computation is proposed which provides a very natural basis for the structural analogy between recursive function theory and computational complexity theory and presents an alternative version of the halting problem.
- Type
- article
- Published
- 1989-01-01
- Cited by
- 19
- References
- 16
- OpenAlex
- https://openalex.org/W167335923
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:15778547
Keywords
Analogy, Computer science, Mathematical economics, Mathematics, Epistemology
References
- Classes of Languages and Linear-Bounded Automata
- Introduction to Automata Theory, Languages and Computation
- Countable nondeterminism and random assignment
- Finite State Languages
- Nondeterministic space is closed under complementation
- Finite Automata and Their Decision Problems
- Recursively enumerable sets and degrees
- A Discipline of Programming
- Computable nondeterministic functions
- Proof Rules and Transformations Dealing with Fairness
- On Computable Numbers, with an Application to the Entscheidungsproblem.
- Theory of Recursive Functions and Effective Computability
- Characterizing Correctness Properties of Parallel Programs Using Fixpoints
Cited by
- Exact Algorithms for Exact Satisfiability Problems
- Hypercomputation: computing more than the Turing machine
- Computational Power of Infinite Quantum Parallelism
- Real Hypercomputation and Continuity
- Logical and schematic characterization of complexity classes
- Introduction to the theory of complexity
- Revising Type-2 Computation and Degrees of Discontinuity
- The many forms of hypercomputation
- Exact Algorithms for
- Continuous Models of Genetic Regulatory Networks and the Multistability Problem
- Décidabilité et Complexité
- Real Hypercomputation and Degrees of Discontinuity
- Is Church’s Thesis Still Relevant?
- Nondeterminism and Guarded Commands
- Turing Machines for Dummies - Why Representations Do Matter
- Accountable Algorithms
- Real computability and hypercomputation
- Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism
- Theoretical Computer Science: Computability, Decidability and Logic
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- Full Abstraction for Strongly Fair Communicating Processes
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