Interpretability of first-order linear temporal logics in fork algebras

نویسندگان

  • Marcelo F. Frias
  • Carlos López Pombo
چکیده

In this paper we prove theorems on the interpretability of the first-order temporal logics LTL and TL into Fork Algebras. This result is part of a research project on the interpretability of logics in Fork Algebras, and has important applications towards the relational specification of properties of systems within the Argentum tool.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fork Algebras as a Sufficiently Rich Universal Institution

Algebraization of computational logics in the theory of fork algebras has been a research topic for a while. This research allowed us to interpret classical first-order logic, several propositional monomodal logics, propositional and first-order dynamic logic, and propositional and first-order linear temporal logic in the theory of fork algebras. In this paper we formalize these interpretabilit...

متن کامل

Fork Algebraic Datatypes

Program synthesis is a process that obtains an efficient program out of a specification, preserving its meaning. Fork algebras have been proposed as an algebraic basis for the construction of a program synthesis environment. These algebras have an expressive power that encompasses that of first order logic, and they are also the right abstraction of the set model that considers programs as part...

متن کامل

Provability and Interpretability Logics with Restricted Realizations

The provability logic of a theory T is the set of modal formulas, which under any arithmetical realization are provable in T . We slightly modify this notion by requiring the arithmetical realizations to come from a specified set Γ. We make an analogous modification for interpretability logics. We first studied provability logics with restricted realizations, and show that for various natural c...

متن کامل

A Partial Order Approach toBranching Time Logic Model

Partial order techniques enable reducing the size of the state graph used for model checking, thus alleviating thèstate space explosion' problem. These reductions are based on selecting a subset of the enabled operations from each program state. So far, these methods have been studied, implemented and demonstrated for assertional languages that model the executions of a program as computation s...

متن کامل

How to say Greedy in Fork Algebras

Because of their expressive power, binary relations are widely used in program specification and development within formal calculi. The existence of a finite equational axiomatization for algebras of binary relations with a fork operation guarantees that the heuristic power coming from binary relations is captured inside an abstract equational calculus. In this paper we show how to express the ...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • J. Log. Algebr. Program.

دوره 66  شماره 

صفحات  -

تاریخ انتشار 2006