Mechanising the Traditional Approach to Partial Functions (1996) [2 citations — 0 self]
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by William M. Farmer
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ftp://ftp.cs.bham.ac.uk/pub/authors/M.Kerber/96-CADE-WS/Farmer.ps.gz
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Abstract:
Abstract. In traditional mathematics it is legitimate to apply a (partial) function to an argument outside of its domain, but the resulting term is treated as having no value. Moreover, the informal logic of traditional mathematics is two-valued despite the presence of nondenoting terms. This paper shows how this traditional approach to partial functions can be implemented in mechanized mathematics systems. 1
Citations
| 82 | A partial functions version of Church's simple theory of types – Farmer - 1990 |
| 32 | A simple type theory with partial functions and subtypes – Farmer - 1993 |
| 26 | Theory interpretation in simple type theory – Farmer - 1994 |
