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Safe Proof Checking in Type Theory with Y (1999)  (Make Corrections)  (2 citations)
Herman Geuvers, Erik Poll, Jan Zwanenburg
CSL



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Abstract: . We present an extension of type theory with a fixed point combinator Y . We are particularly interested in using this Y for doing unbounded proof search in the proof system. Therefore we treat in some detail a typed -calculus for higher order predicate logic with inductive types (a reasonable subsystem of the theory implemented in [Dowek e.a. 1991]) and show how bounded proof search can be done in this system, and how unbounded proof search can be done if we add Y . Of course, proof... (Update)

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...of the type system does not satisfy strong normalisation and proof objects are potential ones. It has been shown in Geuvers et al. 1999] that under mild conditions the Y rules are conservative over the ones without a Y. It is outside the scope of this article to...

...of the type system does not satisfy strong normalization and proof objects are potential ones. It has been shown in Geuvers, Poll and Zwanenburg [1999] that under mild conditions the Y rules are conservative over the ones without a Y . It is outside the scope of this...

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BibTeX entry:   (Update)

Geuvers, H., E. Poll and J. Zwanenburg [1999]. Safe proof checking in type theory with y, in: F. Flum and M. Rodriguez-Artalejo (eds.), Computer Science Logic (CSL'99), LNCS 1683, Spinger-Verlag, pp. 439-452. http://citeseer.ist.psu.edu/article/geuvers99safe.html   More

@inproceedings{ geuvers99safe,
    author = "Herman Geuvers and Erik Poll and Jan Zwanenburg",
    title = "Safe Proof Checking in Type Theory with Y",
    booktitle = "{CSL}",
    pages = "439-452",
    year = "1999",
    url = "citeseer.ist.psu.edu/article/geuvers99safe.html" }
Citations (may not include all citations):
382   Lambda calculi with Types - Barendregt - 1992
68   Logics and Type Systems - Geuvers - 1993
25   A modular proof of strong normalisation for the calculus of .. (context) - Geuvers, Nederhof - 1991
24   Een nadere bewijstheoretische analyse van GSTT's (context) - Terlouw
18   Partial Objects in the Calculus of Constructions - Audebaud - 1991
6   INRIA Rocquencourt - CNRS ENS Lyon (context) - Dowek, Felty et al. - 1991
6   Universita di Torino (context) - Berardi, dependence et al. - 1990
3   Paulin-Mohring Inductively defined types (context) - Coquand - 1990

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A Type System for Record Concatenation and Subtyping - Zwanenburg (1996)   (Correct)
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