One of the main concerns of constructive semantics is to provide a computational interpretation for the proofs of a given logic. In this paper we introduce a constructive semantics for the basic description logic ALC in the spirit of the BHK interpretation. We prove that such a semantics provides an interpretation of ALC formulas consistent with the classical one and we show how, according to such a semantics, proofs of a suitable natural deduction calculus for ALC support a proofs-as-programs paradigm.
A constructive semantics for ALC
BOZZATO L;FERRARI, MAURO;
2007-01-01
Abstract
One of the main concerns of constructive semantics is to provide a computational interpretation for the proofs of a given logic. In this paper we introduce a constructive semantics for the basic description logic ALC in the spirit of the BHK interpretation. We prove that such a semantics provides an interpretation of ALC formulas consistent with the classical one and we show how, according to such a semantics, proofs of a suitable natural deduction calculus for ALC support a proofs-as-programs paradigm.
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