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Event Entry

New for: D3

What and Who

New lower bounds for the typed lambda calculus and higher-order matching

Sergei Vorobyov
MPII
Logik-Seminar
AG 1, AG 2, AG 3, AG 4  
AG Audience
English

Date, Time and Location

Thursday, 12 August 99
16:15
60 Minutes
46
024
Saarbrücken

Abstract

We give a new straightforward proof of the famous Statman's

theorem (that the simply typed lambda calculus is not elementary
recursive), which implies the new stronger lower bounds for
the bounded-order fragments of the calculus and the higher-order
matching problem. In particular:

1) (k+6)-th order lambda calculus is k-DEXPTIME hard

2) (k+7)-th order matching is k-DEXPTIME hard

Contact

Sergei Vorobyov
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