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Degrees of extensionality in the theory of B\"ohm trees and Sall\'e's conjecture

Benedetto Intrigila ; Giulio Manzonetto ; Andrew Polonsky.

The main observational equivalences of the untyped lambda-calculus have been characterized in terms of extensional equalities between B\"ohm trees. It is well known that the lambda-theory H*, arising by taking as observables the head normal forms, equates two lambda-terms whenever their B\"ohm trees&nbsp;[&hellip;]

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Addressing Machines as models of lambda-calculus

Giuseppe Della Penna ; Benedetto Intrigila ; Giulio Manzonetto.

Turing machines and register machines have been used for decades in theoretical computer science as abstract models of computation. Also the $\lambda$-calculus has played a central role in this domain as it allows to focus on the notion of functional computation, based on the substitution mechanism,&nbsp;[&hellip;]

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