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Conference Papers Year : 2009

A Unified Sequent Calculus for Focused Proofs


We present a compact sequent calculus LKU for classical logic organized around the concept of polarization. Focused sequent calculi for classical logic, intuitionistic logic, and multiplicative-additive linear logic are derived as fragments of LKU by increasing the sensitivity of specialized structural rules to polarity information. We develop a unified, streamlined framework for proving cut-elimination in the various fragments. Furthermore, each sublogic can interact with other fragments through cut. We also consider the possibility of introducing classical-linear hybrid logics.
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hal-00772347 , version 1 (10-01-2013)


  • HAL Id : hal-00772347 , version 1


Liang Chuck, Dale Miller. A Unified Sequent Calculus for Focused Proofs. LICS 2009 - Twenty-Fourth Annual IEEE Symposium on LOGIC IN COMPUTER SCIENCE, Aug 2009, Los Angeles, United States. ⟨hal-00772347⟩
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