A Parametric Fitch-Style Modal Lambda Calculus

dc.contributor.authorForsman, Axel
dc.contributor.departmentChalmers tekniska högskola / Institutionen för data och informationstekniksv
dc.contributor.departmentChalmers University of Technology / Department of Computer Science and Engineeringen
dc.contributor.examinerAbel, Andreas
dc.contributor.supervisorValliappan, Nachiappan
dc.date.accessioned2024-01-12T12:30:41Z
dc.date.available2024-01-12T12:30:41Z
dc.date.issued2023
dc.date.submitted2023
dc.description.abstractThe necessity modality, denoted by , where the focus lies, has been applied to model staged computations, compartmental purity in functional languages, and more. So called Fitch-style modal deduction, where modalities are eliminated by opening a subproof, and introduced by shutting one, has been adapted for lambda calculi. Different modal logics may be encoded via different open and shut rules. Prior work [1] has given normalization proofs for four Fitch-style formulations of lambda calculi with different modalities, which required repeating the proofs for each individual calculus. A parametric Fitch-style modal lambda calculus generalizing the variants is presented, in order to avoid the repetition and ease further extensions.
dc.identifier.coursecodeDATX05
dc.identifier.urihttp://hdl.handle.net/20.500.12380/307521
dc.language.isoeng
dc.setspec.uppsokTechnology
dc.subjectNecessity
dc.subjectmodality
dc.subjectparametric
dc.subjectFitch
dc.subjectmodal
dc.subjectlambda calculus
dc.subjectnormalization
dc.titleA Parametric Fitch-Style Modal Lambda Calculus
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster's Thesisen
dc.type.uppsokH
local.programmeComputer science – algorithms, languages and logic (MPALG), MSc
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