Probabilistic compositional semantics, purely
Julian Grove, Jean-Philippe Bernardy
July 2023 

We provide a general framework for the integration of formal semantics with probabilistic reasoning. This framework is conservative, in the sense that it relies only on typed λ-calculus and is thus compatible with logical systems already in use. The framework is also presented modularly, in that it regards probabilistic effects (i.e., sampling and marginalization) as /side effects/, using continuations. We show how our framework may be used to build probabilistic programs compositionally within typed λ-calculus and then illustrate its use on two applications: semantic learning and pragmatic inference within the Rational Speech Act framework.

Format:	[ html ][ pdf ]
Reference:	lingbuzz/006284 (please use that when you cite this article)
Published in:	In proceedings of JSAI-isAI 2021/LENLS18
keywords:	bayesian semantics, probabilities, compositional semantics, monads, continuations, rational speech act, semantics
previous versions:	v3 [April 2022] v2 [April 2022] v1 [October 2021]
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