Authors
P.J.E. Dekker
Date (dd-mm-yyyy)
2026-08
Title
Normal Forms in Intensional Logic
Journal
Philosophies
Volume
11
Publication Year
2026-08
Issue number
4
Document type
Article
Abstract
In this note, it is shown, following up on a conjecture of Joyce Friedman and David Warren in 1980, and in contrast with what is commonly assumed, that the reduction of applied λ-terms in Richard Montague’s intensional logic does not need to conflict with other possible reductions. For a confluent reduction, one only needs to access more rules than just the λ-reduction alone. In addition, we need to draw from principles, such as λ-Application Dis- tribution and λ-Argument Exploitation, and suitably adjust the concept of a normal form.
URL
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Permalink
https://hdl.handle.net/11245.1/6b17e207-5492-43e4-be1e-e92635561208