Antonio Bucciarelli (PPS, Université Paris Diderot) |
Alberto Carraro (PPS, Université Paris Diderot) |
Antonino Salibra (DAIS, Università Ca' Foscari Venezia) |

A longstanding open problem in lambda calculus is whether there exist continuous models of the untyped lambda calculus whose theory is exactly the least lambda-theory lambda-beta or the least sensible lambda-theory H (generated by equating all the unsolvable terms). A related question is whether, given a class of lambda models, there is a minimal lambda-theory represented by it. In this paper, we give a general tool to answer positively to this question and we apply it to a wide class of webbed models: the i-models. The method then applies also to graph models, Krivine models, coherent models and filter models. In particular, we build an i-model whose theory is the set of equations satisfied in all i-models. |

Published: 28th March 2013.

ArXived at: http://dx.doi.org/10.4204/EPTCS.113.8 | bibtex | |

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