Tableau-based translation from first-order logic to modal logic

نویسندگان

چکیده

We define a procedure for translating given first-order formula to an equivalent modal formula, if one exists, by using tableau-based bisimulation invariance test. A previously developed tableau tests of and therefore whether that is the standard translation some formula. Using closed as starting point, we show how can be effectively obtained.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

HOL Based First-Order Modal Logic Provers

First-order modal logics (FMLs) can be modeled as natural fragments of classical higher-order logic (HOL). The FMLtoHOL tool exploits this fact and it enables the application of off-the-shelf HOL provers and model finders for reasoning within FMLs. The tool bridges between the qmf-syntax for FML and the TPTP thf0-syntax for HOL. It currently supports logics K, K4, D, D4, T, S4, and S5 with resp...

متن کامل

First-Order Classical Modal Logic

The paper focuses on extending to the first order case the semantical program for modalities first introduced by Dana Scott and Richard Montague. We focus on the study of neighborhood frames with constant domains and we offer a series of new completeness results for salient classical systems of first order modal logic. Among other results we show that it is possible to prove strong completeness...

متن کامل

Lecture Notes on First-Order Reductions of First-Order Modal Logic 15-816: Modal Logic

First-order modal logic is clearly more than classical first-order logic, because modalities can be used to phrase more advanced necessity and possibility properties. At the same time, first-order modal logic and non-modal first-order logic are not entirely different either. Modalities quantify over all ( ) or some (♦) worlds. Quantifiers also quantify over all (∀) or some (∃) objects (yet not ...

متن کامل

From Separation Logic to First-Order Logic

Separation logic is a spatial logic for reasoning locally about heap structures. A decidable fragment of its assertion language was presented in [1], based on a bounded model property. We exploit this property to give an encoding of this fragment into a first-order logic containing only the propositional connectives, quantification over the natural numbers and equality. This result is the first...

متن کامل

Topological Completeness of First-order Modal Logic

As McKinsey and Tarski [19] showed, the Stone representation theorem for Boolean algebras extends to algebras with operators to give topological semantics for (classical) propositional modal logic, in which the “necessity” operation is modeled by taking the interior of an arbitrary subset of a topological space. The topological interpretation was extended by Awodey and Kishida [3] in a natural ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Reports on Mathematical Logic

سال: 2021

ISSN: ['0137-2904', '2084-2589']

DOI: https://doi.org/10.4467/20842589rm.21.003.14375