Higher order logic
Extensional higher-order logic programming
... Extensional Higher-Order Logic Programming ...for higher-order logic ...for higher-order logic programming which generalizes the familiar theory of classical ...
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Modal Linear Logic in Higher Order Logic, an experiment in Coq
... linear logic KDT 4 lin is coded in the higher order logic using the proof assistant ...object logic by inductively defining the set of modal linear logic formulas, the sequent ...
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Superposition for Lambda-Free Higher-Order Logic
... a logic with applied variables but without Hilbert choice, sko- lemization is unsound, unless we make sure that Skolem symbols are suitably applied ...hybrid logic that supports both mandatory (uncurried) ...
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Foundational nonuniform (co)datatypes for higher-order logic
... † Institute of Information Security, Department of Computer Science, ETH Zürich, Switzerland ‡ School of Science and Technology, Middlesex University London, UK Abstract—Nonuniform (or “nested” or “heterogeneous”) data- ...
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Foundational (co)datatypes and (co)recursion for higher-order logic
... 11 Institute of Mathematics Simion Stoilow of the Romanian Academy, Bucharest, Romania 12 Universität Innsbruck, Austria Abstract. We describe a line of work that started in 2011 towards enriching Isabelle/HOL’s language ...
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Embedding and automating conditional logics in classical higher-order logic
... 6 Conclusion A sound and complete embedding of conditional logics into classical higher-order logic has been presented. Similar to other non-classical logics [6], conditional logics can be seen as ...
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Using Higher Order Logic Programming for Semantic Interpretation of Coordinate Constructs
... This paper shows how the use of abstract syntax per- mitted by higher-order logic programming allows an elegant implementation of the se- mantics of Combinatory Categorial Gr[r] ...
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Some Uses of Higher Order Logic in Computational Linguistics
... This predicate term needs to be executed in the course of eval- uating, for example, the query (have_age [bob.. As opposed to this, in the earlier case only A-reductions ar[r] ...
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A formalisation of the theory of context-free languages in higher order logic
... Throughout this thesis we use formalisation and mechanisation interchangeably to refer to the work that has been verified (and possibly implemented as well) using a proof assistant or a [r] ...
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A formal theory of railway track networks in higher order logic and its applications in interlocking design
... The action for each definition is to define a constant in the HOL logic. The name of the constant is the ID number prefixed by a single letter indicating the type of the object. The prefix letters for each type of ...
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A Relational Logic for Higher-Order Programs
... (2017) to this effect; however, the product programs constructed in (Barthe et al. 2017) are a consequence, rather than a means, of relational verification. Several type systems have been designed to support formal ...
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BI-Hyperdoctrines, Higher-order Separation Logic, and Abstraction
... a higher-order extension of BI, and we discuss ramifica- tions of this extension for separation logic in Section ...separation logic with simple procedures and calls to these. We use the ...
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2. Second-order Logic versus First-order Logic
... second-order logic, one can obtain categorical theories of arithmetic and analysis in second-order logic, whereas that is impossible in first-order ...first-order logic ...
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The Ontology and Logic of Higher Order Multitudes
... Another is to treat an n-tuple as an n-place relation, as do Whitehead and Russell for the case of the ordered pair. Yet another way is to take an n-tuple as a function from the numbers {1,…,n} into the domain. All these ...
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Higher order Linear Logic Programming of Categorial Deduction
... After reviewing the "standard" approach, via sequent proof normalisation, we outline the rel- evant features of (linear) logic programming and explain compil[r] ...
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Interactive proofs in higher-order concurrent separation logic
... In order to define the predicate C, we will make use of the two key features of Iris: invariants, to enable sharing of C(`, n), and ghost state, to enforce that updates to ` are ...
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Second order logic is logic
... with logic, and a formal system which is said to be logic gives or reflects some sense of what the extension of the concept of logical necessity ...characterise logic, we must ask the question of how ...
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SIMULATION PERFORMANCE OF PID AND FUZZY LOGIC CONTROLLER FOR HIGHER ORDER SYSTEMS
... controller higher order systems ...fuzzy logic which simplifies the control designing for complex ...Fuzzy logic control has been widely implemented for nonlinear, higher order ...
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A Subjective Logic Library Constructed Using Monadic Higher Order Functions
... Now imagine two sensors designed to measure two orthogonal properties of baby guinea pigs. Before they reach a certain age, male guinea pigs must be separated from their mothers (and sisters) because they reach sexual ...
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A Higher Logic Publication
... ©2014 Higher Logic | www.higherlogic.com | 866-670-1402 10. A Good App-ortunity to talk About it You have something to talk about—and you should keep talking about it with your membership. Communication can ...
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