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William C. Rounds

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7 papers
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7

FOCS Conference 1981 Conference Paper

Possible Futures, Acceptances, Refusals, and Communicating Processes

  • William C. Rounds
  • Stephen D. Brookes

Two distinct models for the notion of communicating processes are introduced, developed and related. The first, called the possible-futures model, is a generalization to nondeterministic systems of the familiar derivative (Nerode equivalence class) construction. The second, called the acceptance-refusals model, is a slight strengthening of a model introduced by Hoare, Brookes, and Roscoe. The PF model can be mapped onto the AR model homomorphically, and the equivalence classes of this map can be characterized by imposing a very natural equivalence relation on the PF model. The resulting quotient algebra admits a complete partial order structure in which the algebraic operations are continuous.

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FOCS Conference 1975 Conference Paper

A Grammatical Characterization of Exponential-Time Languages

  • William C. Rounds

We show that the languages generated by a constrained form of Chomsky's transformational grammars characterize the languages recognized by Turing machines in deterministic exponential (2cn) time. The constraints on the transformational grammars are satisfied by many, though not all, known grammars in linguistic practice. We also give a simple algebraic characterization of the same class of languages and use it for the linguistic characterization.

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