Alexander V. Gheorghiu ; Tao Gu ; David J. Pym - Inferentialist Resource Semantics

entics:14727 - Electronic Notes in Theoretical Informatics and Computer Science, December 11, 2024, Volume 4 - Proceedings of MFPS XL - https://doi.org/10.46298/entics.14727
Inferentialist Resource SemanticsArticle

Authors: Alexander V. Gheorghiu ; Tao Gu ; David J. Pym

    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, as well as about the composition and interfacing of system components.


    Volume: Volume 4 - Proceedings of MFPS XL
    Published on: December 11, 2024
    Accepted on: November 12, 2024
    Submitted on: November 12, 2024
    Keywords: Computer Science - Logic in Computer Science,Computer Science - Cryptography and Security,Electrical Engineering and Systems Science - Systems and Control,Mathematics - Logic

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