1997Fundamenta InformaticaeRequires access

A NEW METHOD OF CIRCUMSCRIBING BELIEFS THE PROPOSITIONAL CASE

Sukhamay Kundu, Jianhua Chen

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Abstract

We propose here a new notion of a minimal model for forming circumscription in belief-logic by incorporating the notion of minimal models in the prepositional logic. This results in a new circumscription operation for belief-formulas than the one considered in [4-6]. An important feature of the new circumscription operation is its close relationship with the circumscription of prepositional formulas. For instance, we have CIRC[Bφ] = B(CIRC[φ]), where φ is a prepositional formula. We give several examples to show that the new notion of circumscription fits quite well with intuition.

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What this paper is about

We propose here a new notion of a minimal model for forming circumscription in belief-logic by incorporating the notion of minimal models in the prepositional logic. This results in a new circumscription operation for belief-formulas than the one considered in [4-6]. An important feature of the new circumscription operation is its close relationship with the circumscription of prepositional formulas. For instance, we have CIRC[Bφ] = B(CIRC[φ]), where φ is a prepositional formula. We give several examples to show that the new notion of circumscription fits quite well with intuition.

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Available abstract

We propose here a new notion of a minimal model for forming circumscription in belief-logic by incorporating the notion of minimal models in the prepositional logic. This results in a new circumscription operation for belief-formulas than the one considered in [4-6]. An important feature of the new circumscription operation is its close relationship with the circumscription of prepositional formulas. For instance, we have CIRC[Bφ] = B(CIRC[φ]), where φ is a prepositional formula. We give several examples to show that the new notion of circumscription fits quite well with intuition.

Key concepts: Propositional variable, Propositional formula, Propositional calculus, Well-formed formula, Calculus (dental), Mathematics, Autoepistemic logic, Computer science

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