This states that for any program (a non-function typed term in the ef="module.php?name=Lexikon&file=search&eid=1&query=typed lambda-calculus">typed lambda-calculus with constants) {normal order reduction} (outermost first) fails to terminate if and only if the ef="module.php?name=Lexikon&file=search&eid=1&query=standard semantics">standard semantics of the term is ef="module.php?name=Lexikon&file=search&eid=1&query=bottom">bottom. Moreover, if the reduction of program e1 terminates with some {head normal form} e2 then the standard semantics of e1 and e2 will be equal. This theorem is significant because it relates the operational notion of a reduction sequence and the ef="module.php?name=Lexikon&file=search&eid=1&query=denotational semantics">denotational semantics of the input and output of a reduction sequence.

e="border-width:thin; border-color:#333333; border-style:dashed; padding:5px;" align="left">In addition suitable contents:
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