Inferentialist resource semantics

Gheorghiu, A.V., Gu, T. and Pym, D.J. (2024) Inferentialist resource semantics. In Proceedings of MFPS XL: 40th Conference on Mathematical Foundations of Programming Semantics. vol. 4 (doi:10.46298/entics.proceedings.mfps40).

Record type: Conference or Workshop Item (Paper)

Abstract

In systems modelling, a 'system' typically comprises located resources relative to which processes execute. One important use of logic in informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires an interpretation of logical formulae in terms of the resources and states of the system; such an interpretation is called a 'resource semantics' of the logic. This paper shows how inferentialism -- the view that meaning is given in terms of inferential behaviour -- enables a versatile and expressive framework for resource semantics. Specifically, how inferentialism seamlessly incorporates the assertion-based approach of the logic of Bunched Implications, foundational in program verification (e.g., as the basis of Separation Logic), and the renowned number-of-uses reading of Linear Logic. This integration enables reasoning about shared and separated resources in intuitive and familiar ways,

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