Abstract
The propositional rules of predicate BI are not merely copies of their counterparts in propositional BI. Each proposition, φ, occurring in a sequent in an inference must be well-formed, i.e., the sequent must include the variables X such that X \({ \vdash _{\Sigma ,\Xi }}\phi \) :Prop as determined by the calculus of well-formed propositions.
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© 2002 Springer Science+Business Media Dordrecht
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Pym, D.J. (2002). Natural Deduction and Sequent Calculus. In: The Semantics and Proof Theory of the Logic of Bunched Implications. Applied Logic Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0091-7_12
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DOI: https://doi.org/10.1007/978-94-017-0091-7_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6072-3
Online ISBN: 978-94-017-0091-7
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