Results 21 to 30 of about 690 (186)
Characterizing logic grammars: A substructural logic approach
Summary: A characterization of static discontinuity grammars (SDGs), a logic grammar formalism due to Dahl, is given in this paper. A substructural logic sequent calculus proof system is given which is shown to be equivalent to SDGs for parsing problems in the sense that a string of terminal symbols is accepted by a grammar if and only if the ...
James H. Andrews +2 more
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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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Circular Proofs as Session-Typed Processes: A Local Validity Condition [PDF]
Proof theory provides a foundation for studying and reasoning about programming languages, most directly based on the well-known Curry-Howard isomorphism between intuitionistic logic and the typed lambda-calculus.
Farzaneh Derakhshan, Frank Pfenning
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Basic Core Fuzzy Logics and Algebraic Routley–Meyer-Style Semantics
Recently, algebraic Routley–Meyer-style semantics was introduced for basic substructural logics. This paper extends it to fuzzy logics. First, we recall the basic substructural core fuzzy logic MIAL (Mianorm logic) and its axiomatic extensions, together ...
Eunsuk Yang
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In this paper, I present two presumed alternative definitions of metavalidity for metainferences: Local and Global. I defend the latter, first, by arguing that it is not too weak with respect to metainference-cases, and that local metavalidity is in fact
Paula Teijeiro
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Command injection attacks, continuations, and the Lambek calculus [PDF]
This paper shows connections between command injection attacks, continuations, and the Lambek calculus: certain command injections, such as the tautology attack on SQL, are shown to be a form of control effect that can be typed using the Lambek calculus,
Hayo Thielecke
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Why a Logic is not only its Set of Valid Inferences
The main idea that we want to defend in this paper is that the question of what a logic is should be addressed differently when structural properties enter the game.
Eduardo A. Barrio, Federico Pailos
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LNL-FPC: The Linear/Non-linear Fixpoint Calculus [PDF]
We describe a type system with mixed linear and non-linear recursive types called LNL-FPC (the linear/non-linear fixpoint calculus). The type system supports linear typing, which enhances the safety properties of programs, but also supports non-linear ...
Bert Lindenhovius +2 more
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Kleene Algebras, Regular Languages and Substructural Logics [PDF]
We introduce the two substructural propositional logics KL, KL+ , which use disjunction, fusion and a unary, (quasi-)exponential connective. For both we prove strong completeness with respect to the interpretation in Kleene algebras and a variant thereof.
Christian Wurm
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Structural Rules in Natural Deduction with Alternatives
Natural deduction with alternatives extends Gentzen–Prawitz-style natural deduction with a single structural addition: negatively signed assumptions, called alternatives.
Greg Restall
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