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Searching for authors named Philippe Devienne – sorted by Relevance.

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  • The Emptiness Problem of One Binary Recursive Horn Clause is Undecidable  
  • by Philippe Devienne, Patrick Lebègue, Jean-Christophe Routier — 1993
  • …The simplest recursive program in Horn clause languages is of the form : 8 ? ! ? : p(fact) / : p(lef t) / p(right) : / p(goal) : This corresponds to append--like programs. The two most relevant problems concerning this class are the halting and the emptiness (existence of at least one solution) prob…
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  • Halting Problem of One Binary Horn Clause is Undecidable.  
  • by Philippe Devienne, Patrick Lebègue, Jean-Christophe Routier — 1993
  • …. This paper proposes a codification of the halting problem of any Turing machine in the form of only one right--linear binary Horn clause as follows : p(t) / p(tt) : where t (resp. tt) is any (resp. linear) term. Recursivity is well--known to be a crucial and fundamental concept in programming th…
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  • One Binary Horn Clause is Enough  
  • by Philippe Devienne, Patrick Lebègue, Jean-Christophe Routier, Jörg Würtz — 1994
  • …. This paper proposes an equivalent form of the famous BohmJacopini theorem for declarative languages. C. Bohm and G. Jacopini [1] proved that all programming can be done with at most one single whiledo. That result is cited as a mathematical justification for structured programming. A similar r…
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