# Publication details

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Satisfiability of the smallest binary program

Philipp Hanschke, Jörg Würtz

Information Processing Letters 45(5):237-241, April 1993

Recursivity is well known to be a crucial and important concept in programming theory. The simplest scheme of recursion in the context of
logic programming is the binary Horn clause
) P(r_{1},...,r_{n}). The decidability
of the satisfiability
problem of programs consisting of such a rule, a fact and a goal -
called - has been a goal of research for
some time. In this paper the undecidability of the smallest binary
program is shown by a simple reduction of the Post Correspondence
Problem.

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@ARTICLE{RR-93-09,
title = {Satisfiability of the smallest binary program},
author = {Philipp Hanschke and J{\"o}rg W{\"u}rtz},
year = {1993},
month = {apr},
journal = {"Information Processing Letters"},
volume = {"45"},
pages = {"237--241"},
number = {"5"},
}

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