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2000•ACM Transactions on Computational LogicRequires access

Sequential abstract-state machines capture sequential algorithms

Yuri Gurevich

Open publisher page 466 citations

Abstract

We examine sequential algorithms and formulate a sequential-time postulate, an abstract-state postulate, and a bounded-exploration postulate . Analysis of the postulates leads us to the notion of sequential abstract-state machine and to the theorem in the title. First we treat sequential algorithms that are deterministic and noninteractive. Then we consider sequential algorithms that may be nondeterministic and that may interact with their environments.

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What this paper is about

We examine sequential algorithms and formulate a sequential-time postulate, an abstract-state postulate, and a bounded-exploration postulate . Analysis of the postulates leads us to the notion of sequential abstract-state machine and to the theorem in the title. First we treat sequential algorithms that are deterministic and noninteractive. Then we consider sequential algorithms that may be nondeterministic and that may interact with their environments.

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OpenAlex reports 466 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We examine sequential algorithms and formulate a sequential-time postulate, an abstract-state postulate, and a bounded-exploration postulate . Analysis of the postulates leads us to the notion of sequential abstract-state machine and to the theorem in the title. First we treat sequential algorithms that are deterministic and noninteractive. Then we consider sequential algorithms that may be nondeterministic and that may interact with their environments.

Key concepts: Nondeterministic algorithm, Computer science, Algorithm, State (computer science), Bounded function, Finite-state machine, Theoretical computer science, Mathematics

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