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    block this user Claudio Sacerdoti Coen Trusted member

    Lecturer

    Dipartimento Di Scienze dell'Informazione, Universita' di Bologna

    A constructive proof of the soundness of the encoding of random access machines in a linda calculus with ordered semantics

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    Abstract. Random Access Machines (RAMs) are a deterministic Turing-complete formalism especially well suited for being encoded in other formalisms. This is due to the fact that RAMs can be defined starting from very primitive concepts and operations, which are unbounded natural numbers, tuples, successor, predecessor and test for equality to zero. Since these concepts are easily available also in theorem-provers and proof-assistants, RAMs are good candidates for proving Turingcompleteness of formalisms using a proof-assistant. In this paper we describe an encoding in Coq of RAMs into a Linda Calculus endowed with the Ordered Semantics. We discuss the main difficulties that must be faced and the techniques we adopted to solve them.

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    Title : A constructive proof of the soundness of the encoding of random access machines in a linda calculus with ordered semantics
    Abstract : Abstract. Random Access Machines (RAMs) are a deterministic Turing-complete formalism especially well suited for being encoded in other formalisms. This is due to the fact that RAMs can be defined starting from very primitive concepts and operations, which are unbounded natural numbers, tuples, successor, predecessor and test for equality to zero. Since these concepts are easily available also in theorem-provers and proof-assistants, RAMs are good candidates for proving Turingcompleteness of formalisms using a proof-assistant. In this paper we describe an encoding in Coq of RAMs into a Linda Calculus endowed with the Ordered Semantics. We discuss the main difficulties that must be faced and the techniques we adopted to solve them.
    Subject : unspecified
    Area : Computer Science
    Language : English
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    Url : http://www.cs.unibo.it/~sacerdot/PAPERS/ictcs03.ps.gz
    Doi : 10.1.1.79.7515

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