Coalgebraic Semantics for Positive Modal Logic
نویسندگان
چکیده
منابع مشابه
A New Coalgebraic Semantics for Positive Modal Logic
Positive Modal Logic is the restriction of the modal local consequence relation defined by the class of all Kripke models to the propositional negation-free modal language. The class of positive modal algebras is the one canonically associated with PML according to the theory of Abstract Algebraic Logic. In [4], a Priestley-style duality is established between the category of positive modal alg...
متن کاملA coalgebraic view on positive modal logic
Positive Modal Logic is the restriction of the modal local consequence relation defined by the class of all Kripke models to the propositional negation-free modal language. The class of positive modal algebras is the one canonically associated with PML according to the theory of the algebrization of logics [12]. A Priestley-style duality is established between the category of positive modal alg...
متن کاملA New Semantics for Positive Modal Logic
The paper provides a new semantics for positive modal logic using Kripke frames having a quasi ordering ≤ on the set of possible worlds and an accessibility relation R connected to the quasi ordering by the conditions (1) that the composition of ≤ with R is included in the composition of R with ≤ and (2) the analogous for the inverse of ≤ and R. This semantics has an advantage over the one used...
متن کاملCoalgebraic semantics for logic programs
General logic programs with negation have the 3-valued minimal Herbrand models based on the Kripke’s fixpoint knowledge revision operator and on Clark’s completion. Based on these results we deifine a new algebra , (with the relational algebra embedded in it), and present an algorithmic transformation of logic programs into the system of tuple-variable equations which is a -coalgebra. The solut...
متن کاملCoalgebraic Modal Logic in CoCasl
We extend the algebraic-coalgebraic specification language CoCasl by full coalgebraic modal logic based on predicate liftings for functors. This logic is more general than the modal logic previously used in CoCasl and supports the specification of a variety of modal logics, such as graded modal logic, majority logic, and probabilistic modal logic. CoCasl thus becomes a modern modal language tha...
متن کاملذخیره 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: Electronic Notes in Theoretical Computer Science
سال: 2003
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(04)80641-8