Capturing equilibrium models in modal logic
نویسندگان
چکیده
Here-and-there models and equilibrium models were investigated as a semantical framework for answer-set programming by Pearce, Valverde, Cabalar, Lifschitz, Ferraris and others. The semantics of equilibrium logic is given in an indirect way: the notion of an equilibrium model is defined in terms of quantification over hereand-there models. We here give a direct semantics of equilibrium logic, stated for a modal language embedding the language of equilibrium logic.
منابع مشابه
STeLP - A Tool for Temporal Answer Set Programming
In this paper we present STeLP, a solver for Answer Set Programming with temporal operators. Taking as an input a particular kind of logic program with modal operators (called Splitable Temporal Logic Program), STeLP obtains its set of temporal equilibrium models (a generalisation of stable models for this extended syntax). The obtained set of models is represented in terms of a deterministic B...
متن کاملThe Modal Logic of Equilibrium Models
Here-and-there models and equilibrium models were investigated as a semantical framework for answer set programming by Pearce, Cabalar, Lifschitz, Ferraris and others. The semantics of equilibrium logic is indirect in that the notion of satisfiability is defined in terms of satisfiability in the logic of here-andthere. We here give a direct semantics of equilibrium logic, stated in terms of a m...
متن کاملSubstructural modal logic for optimal resource allocation
We introduce a substructural modal logic for reasoning about (optimal) resource allocation in models of distributed systems. The underlying logic is a variant of the modal logic of bunched implications, and based on the same resource semantics, which is itself closely related to concurrent separation logic. By considering notions of cost, strategy, and utility, we are able to formulate characte...
متن کاملEpistemic Equilibrium Logic
We add epistemic modal operators to the language of here-and-there logic and define epistemic hereand-there models. We then successively define epistemic equilibrium models and autoepistemic equilibrium models. The former are obtained from here-and-there models by the standard minimisation of truth of Pearce’s equilibrium logic; they provide an epistemic extension of that logic. The latter are ...
متن کاملSuhrawardi's Modal Syllogisms
Suhrawardi’s logic of the Hikmat al-Ishraq is basically modal. So to understand his modal logic one first has to know the non-modal part upon which his modal logic is built. In my previous paper ‘Suhrawardi on Syllogisms’(3) I discussed the former in detail. The present paper is an exposition of his treatment of modal syllogisms. On the basis of some reasonable existential presuppositi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Applied Logic
دوره 12 شماره
صفحات -
تاریخ انتشار 2014