Canonical Signed Calculi, Non-deterministic Matrices and Cut-Elimination

  title={Canonical Signed Calculi, Non-deterministic Matrices and Cut-Elimination},
  author={Arnon Avron and Anna Zamansky},
Canonical propositional Gentzen-type calculi are a natural class of systems which in addition to the standard axioms and structural rules have only logical rules where exactly one occurrence of a connective is introduced and no other connective is mentioned. Cut-elimination in such systems is fully characterized by a syntactic constructive criterion of coherence. In this paper we extend the theory of canonical systems to the considerably more general class of signed calculi. We show that the… CONTINUE READING

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