Sequence Semantics for Modelling Reason-based Preferences

We study how the non-classical n-ary operator circle times, originally intended to capture the concept of reparative obligation, can be used in the context of social choice theory to model preferences. A novel possible-world model-theoretic semantics, called sequence semantics, was proposed for the operator. In this paper, we propose a sound and complete axiomatisation of a minimal modal logic for the operator, and we extend it with axioms suitable to model social choice consistency principles such as extension consistency and contraction consistency. We provide completeness results for such extensions

Sequence Semantics for Norms and Obligations

This paper presents a new version of the sequence semantics presented at DEON 2014. This new version allows us for a capturing the distinction between logic of obligations and logic of norms. Several axiom schemata are discussed, while soundness and completeness results are proved

Semantics for modelling reason-based preferences

In [13] the authors developed a logical system based on the definition of a new non-classical connective 97 originally capturing the notion of reparative obligation. The operator 97 and the system were proved to be appropriate for rather handling well-known contrary-to-duty paradoxes. Later on, a suitable model-theoretic possible-world semantics has been developed [4,5]. In this paper we show how a version of this semantics can be used to develop a sound and complete logic of preference and offer a suitable possible-world semantics. The semantics is a sequence-based non-normal one extending and generalising semantics for classical modal logics