Quantified temporal alethic-deontic logic

Monodic temporal logic with quantified propositional variables

We extend the monodic fragment of first-order linear temporal logic to include right-linear grammar operators and quantification of propositional variables. Unlike propositional temporal logic, the use of grammar operators in first-order temporal logic is not equivalent to general propositional quantification, as the latter admit satisfiable formulae without countable models. We consider the de...

Deontic Logic

The chapter is organized in ten sections, each of them presenting a fundamental issue or problem in the area of deontic logic. Section 10.2 is about the issue of norms and truth, i.e., whether norms should have truth value. It opposes deontic logic viewed as a logic of normative propositions to deontic logic viewed as a logic of imperatives. Section 10.3 deals with the problem of contrary-to-du...

Proofs and Expressiveness in Alethic Modal Logic

The above dictionary characterization of alethic modalities states the central notions of alethic modal logic: necessity, and other notions that are usually thought of as being definable in terms of necessity and Boolean negation: impossibility, contingency, and possibility. The syntax of modal propositional logic is inductively defined over a denumerable set of sentence letters p0, p1, p2, . ....

SAT-Based BMC for Deontic Metric Temporal Logic and Deontic Interleaved Interpreted Systems

Causal Deontic Logic

In this paper we introduce a descriptive temporal deontic logic based on causal theories. The underlying nonmonotonic temporal logic has two distinctive properties. First, it distinguishes between observations and interventions, which among others is used to distinguish between the existence and creation of deontic states such as obligations, permissions and prohibitions. Second, its explicit c...