Wepresent a constructive analysis of the logical notions of satisfiability and consistency for first-order intuitionistic formulae. In particular, we use formal topology theory to provide a positive semantics for satisfiability. Then we propose a ‘‘co-inductive’’ logical calculus, which captures the positive content of consistency.

A constructive investigation of satisfiability

CIRAULO, FRANCESCO
2012

Abstract

Wepresent a constructive analysis of the logical notions of satisfiability and consistency for first-order intuitionistic formulae. In particular, we use formal topology theory to provide a positive semantics for satisfiability. Then we propose a ‘‘co-inductive’’ logical calculus, which captures the positive content of consistency.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2529067
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