The formal system for various 3-valued logics II
نویسندگان
چکیده
منابع مشابه
Many-Valued Modal Logics II
Suppose there are several experts, with some dominating others (expert A dominates expert B if B says something is true whenever A says it is). Suppose, further, that each of the experts has his or her own view of what is possible — in other words each of the experts has their own Kripke model in mind (subject, of course, to the dominance relation that may hold between experts). How will they a...
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In the paper we explore the idea of describing Pawlak’s rough sets using three-valued logic, whereby the value t corresponds to the positive region of a set, the value f — to the negative region, and the undefined value u — to the border of the set. Due to the properties of the above regions in rough set theory, the semantics of the logic is described using a non-deterministic matrix (Nmatrix)....
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We deene a simple logical semantics based on minimal models in Lukasiewicz's 3-valued logic, L 3. On normal logic programs it is equivalent to the well-founded semantics (WFS), and on disjunctive programs it is equivalent to the P-stable semantics of Eiter, Leone and Saccc a, hence to Przymusinski's 3-valued stable semantics. One advantage is that it is char-acterised by simple conditions on mo...
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MUltlog is a system which takes as input the specification of a finitely-valued first-order logic and produces a sequent calculus, a natural deduction system, and a calculus for transforming a many-valued formula to clauses suitable for many-valued resolution. All generated rules are optimized regarding their branching degree. The output is in the form of a scientific paper, written in LTEX.
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We define an automatic proof procedure for finitely manyvalued logics given by truth tables. The proof procedure is based on the inverse method. To define this procedure, we introduce so-called introduction-based sequent calculi. By studying proof-theoretic properties of these calculi we derive efficient validityand satisfiability-checking procedures based on the inverse method. We also show ho...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1977
ISSN: 0025-5645
DOI: 10.2969/jmsj/02930513