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A Labelled Sequent Calculus for BBI: Proof Theory and Proof Search

Date

Authors

Hou, Zhe

Tiu, Alwen

Gore, Rajeev

Publisher

Springer-Verlag Berlin Heidelberg

Abstract

We present a labelled sequent calculus for Boolean BI (BBI), a classical variant of the logic of Bunched Implication. The calculus is simple, sound, complete, and enjoys cut-elimination. We show that all the structural rules in the calculus, i.e., those r

Keywords

Keywords: Bunched implications; Concrete model; Constraint systems; Cut elimination; Logical rules; Sequent calculus; Structural rules; Ternary relations; Differentiation (calculus); Heuristic methods; Semantics; Calculations

URI

http://hdl.handle.net/1885/65771

Collections

ANU Research Publications

Source

TABLEAUX 2013, International Conference on Theorem Proving with Analytic Tableaux and Related Systems

Type

Conference paper

DOI

10.1007/978-3-642-40537-2_16

Restricted until

2037-12-31

Downloads

File

Description

01_Hou_A_Labelled_Sequent_Calculus_2013.pdf (277.73 KB)