Results 11 to 20 of about 137 (130)
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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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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Quantitative Equality in Substructural Logic via Lipschitz Doctrines [PDF]
Substructural logics naturally support a quantitative interpretation of formulas, as they are seen as consumable resources. Distances are the quantitative counterpart of equivalence relations: they measure how much two objects are similar, rather than ...
Francesco Dagnino, Fabio Pasquali
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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).
George Metcalfe, Franco Montagna
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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
wiley +1 more source
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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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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Proof complexity of substructural logics
34 ...
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The fischerazoles, unusual cyanobacterial chlorinated lipopeptides are reported. During their biosynthesis, a linear fatty acyl‐acyl carrier protein (ACP) precursor is rearranged through the action of the S‐adenosyl‐methionine (SAM)‐dependent methyltransferase FshF, to generate a pendant vinyl group.
Sandra A. C. Figueiredo +8 more
wiley +2 more sources
A substructural logic for layered graphs [PDF]
Complex systems, be they natural or synthetic, are ubiquitous. In particular, complex networks of devices and services underpin most of society's operations. By their very nature, such systems are difficult to conceptualize and reason about effectively.
Collinson, M, McDonald, K, Pym, D
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