Usability: Formalising (un)definedness in typed lambda calculu


Kuper, J. (1995) Usability: Formalising (un)definedness in typed lambda calculu. In: Selected Papers from the 8th International Workshop on Computer Science Logic (CSL'94), 25-30 September 1994, Kazimierz, Poland (pp. pp. 76-90).

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Abstract:In this paper we discuss usability, and propose to take that notion as a formalisation of (un)definedness in typed lambda calculus, especially in calculi based on PCF. We discuss some important properties that make usability attractive as a formalisation of (un)definedness. There is a remarkable difference between usability and solvability: in the untyped lambda calculus the solvable terms are precisely the terms with a head normal form, whereas in typed lambda calculus the usable terms are between the terms with a normal form and the terms with a (weak) head normal form.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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