Results 31 to 40 of about 481 (175)
Duality Theory and Categorical Universal Logic: With Emphasis on Quantum Structures [PDF]
Categorical Universal Logic is a theory of monad-relativised hyperdoctrines (or fibred universal algebras), which in particular encompasses categorical forms of both first-order and higher-order quantum logics as well as classical, intuitionistic, and ...
Yoshihiro Maruyama
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Stone-Type Dualities for Separation Logics [PDF]
Stone-type duality theorems, which relate algebraic and relational/topological models, are important tools in logic because -- in addition to elegant abstraction -- they strengthen soundness and completeness to a categorical equivalence, yielding a ...
Simon Docherty, David Pym
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AbstractSubstructural fuzzy logics are substructural logics that are complete with respect to algebras whose lattice reduct is the real unit interval [0, 1]. In this paper, we introduce Uninorm logicULas Multiplicative additive intuitionistic linear logicMAILLextended with the prelinearity axiom((A → B) ∧ t) V ((B → A)∧ t).
Metcalfe G., Montagna F.
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Local Search and the Evolution of World Models
Abstract An open question regarding how people develop their models of the world is how new candidates are generated for consideration out of infinitely many possibilities. We discuss the role that evolutionary mechanisms play in this process. Specifically, we argue that when it comes to developing a global world model, innovation is necessarily ...
Neil R. Bramley +3 more
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Dynamic Separation Logic and its Use in Education
Mathematical logic is widely used in hardware and software verification. Hoare logic is particularly suitable for reasoning about imperative programs.
Evgeny Makarov
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Remarks on an algebraic semantics for paraconsistent Nelson's logic
In the paper Busaniche and Cignoli (2009) we presented a quasivariety of commutative residuated lattices, called NPc-lattices, that serves as an algebraic semantics for paraconsistent Nelson's logic.
Manuela Busaniche, Roberto Cignoli
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Meeting strength in substructural logics [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weak consistency and strong paraconsistency
In a standard sense, consistency and paraconsistency are understood as, respectively, the absence of any contradiction and as the absence of the ECQ (“E contradictione quodlibet”) rule that allows us to conclude any well formed formula from any ...
Gemma Robles
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Distribution-Free Modal Logics: Sahlqvist–Van Benthem Correspondence
We present an extension and generalization of Sahlqvist–van Benthem correspondence to the case of distribution-free modal logic, with, or without negation and/or implication connectives.
Chrysafis Hartonas
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Free choice permission as resource-sensitive reasoning
Free choice permission is a long-standing puzzle in deontic logic and in natural language semantics. It involves what appears to be a conjunctive use of "or": from "You may eat an apple or a pear", we can infer that "You may eat an apple" and that "You ...
Chris Barker
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