Lukasiewicz Logic: From Proof Systems To Logic Programming
نویسندگان
چکیده
We present logic programming style “goal-directed” proof methods for Lukasiewicz logic L that both have a logical interpretation, and provide a suitable basis for implementation. We introduce a basic version, similar to goal-directed calculi for other logics, and make refinements to improve efficiency and obtain termination. We then provide an algorithm for fuzzy logic programming in Rational Pavelka logic RPL, an extension of L with rational constants.
منابع مشابه
SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC
In this paper, based in the L ukasiewicz logic, the definition offuzzifying soft neighborhood structure and fuzzifying soft continuity areintroduced. Also, the fuzzifying soft proximity spaces which are ageneralizations of the classical soft proximity spaces are given. Severaltheorems on classical soft proximities are special cases of the theorems weprove in this paper.
متن کاملProbabilistic and Truth-functional Many-valued Logic Programming Justus-liebig- Universit at Gieeen Ifig Research Report Probabilistic and Truth-functional Many-valued Logic Programming
We introduce probabilistic many-valued logic programs in which the implication connective is interpreted as material implication. We show that probabilistic many-valued logic programming is computationally more complex than classical logic programming. More precisely, some deduction problems that are P-complete for classical logic programs are shown to be co-NP-complete for probabilistic many-v...
متن کاملOn Affine Logic and Łukasiewicz Logic
The multi-valued logic of Lukasiewicz is a substructural logic that has been widely studied and has many interesting properties. It is classical, in the sense that it admits the axiom schema of double negation elimination, [DNE]. However, our understanding of Lukasiewicz logic can be improved by separating its classical and intuitionistic aspects. The intuitionistic aspect of Lukasiewicz logic ...
متن کاملSequent and Hypersequent Calculi for Abelian and Lukasiewicz Logics
We present two embeddings of in nite-valued Lukasiewicz logic L into Meyer and Slaney’s abelian logic A, the logic of lattice-ordered abelian groups. We give new analytic proof systems for A and use the embeddings to derive corresponding systems for L. These include: hypersequent calculi for A and L and terminating versions of these calculi; labelled single sequent calculi for A and L of comple...
متن کاملPreservation theorems in {L}ukasiewicz \model theory
We present some model theoretic results for {L}ukasiewiczpredicate logic by using the methods of continuous model theorydeveloped by Chang and Keisler.We prove compactness theorem with respect to the class of allstructures taking values in the {L}ukasiewicz $texttt{BL}$-algebra.We also prove some appropriate preservation theorems concerning universal and inductive theories.Finally, Skolemizatio...
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:
- Logic Journal of the IGPL
دوره 13 شماره
صفحات -
تاریخ انتشار 2005