Interpreting Lambda Calculus in Domain-Valued Random Variables

Robert Furber; Radu Mardare; Prakash Panangaden; Dana Scott

doi:10.48550/arXiv.2112.06339

Interpreting Lambda Calculus in Domain-Valued Random Variables

Robert Furber
, Radu Mardare
, Prakash Panangaden
, Dana Scott

Research output: Working paper

Abstract

We develop Boolean-valued domain theory and show how the lambda-calculus can be interpreted in using domain-valued random variables. We focus on the reflexive domain construction rather than the language and its semantics. The notion of equality has to be interpreted in the Boolean algebra and when we say that an equation is valid in the model we mean that its interpretation is the top element of the Boolean algebra.

Original language	English
Publisher	arXiv
Number of pages	31
DOIs	https://doi.org/10.48550/arXiv.2112.06339
Publication status	Published - 12 Dec 2021

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Interpreting Lambda Calculus in Domain-Valued Random Variables

Abstract

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