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Order logic

Using Higher Order Logic Programming for Semantic Interpretation of Coordinate Constructs

Using Higher Order Logic Programming for Semantic Interpretation of Coordinate Constructs

... This paper shows how the use of abstract syntax permitted by higher-order logic programming allows an elegant implementation of the semantics of Combinatory Categorial Grammar, including[r] ...

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Quine and Boolos on second order logic : an examination of the debate

Quine and Boolos on second order logic : an examination of the debate

... what logic really is was not Quine’s aim, nor had it ever ...predicate logic and so-called higher-order ...between logic naiTowly construed and logic broadly construed led to the view ...

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Second order logic : ontological and epistemological problems

Second order logic : ontological and epistemological problems

... He hence only has to show that everything has a singleton, and mereological fusion will take care of all other sets. Lewis takes it to be sufficient for his project to show that some singleton function exists, and it can ...

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PP 2009 40: 
  First Order Logic Formalisation of Arrow's Theorem

PP 2009 40: First Order Logic Formalisation of Arrow's Theorem

... social order to express ties between ...linear order over alternatives, added “by default” in a model, it is possible to generate all weak orders requiring that in every situation ev- ery two alternatives ...

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First-Order Logic and Some Existential Sentences

First-Order Logic and Some Existential Sentences

... ‘Quantified pure existentials’ are sentences (e.g., ‘Some things do not exist’) which meet these conditions: (i) the verb EXIST is contained in, and is, apart from quantificational BE , the only full (as against ...

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Augmenting Neural Networks with First order Logic

Augmenting Neural Networks with First order Logic

... first-order logic. As an example, consider the task of reading comprehension, where the goal is to answer a question based on a paragraph of text (Fig. 1). Attention-driven models such as BiDAF (Seo et al., ...

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Representing the Process of Machine Tool Calibration in First order Logic

Representing the Process of Machine Tool Calibration in First order Logic

... first-order logic for the PROLOG language leading to the creation of a knowledge-base is described, followed by how to calculate the estimated time for performing the sequence of tasks in the ...

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Representing Game Dialogue as Expressions in First-Order Logic

Representing Game Dialogue as Expressions in First-Order Logic

... first-order logic predicates, demonstrates its equivalence with current dialogue authoring techniques, and shows how this representation is more dynamic and ...

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Disproving in First-Order Logic with Definitions, Arithmetic and Finite Domains

Disproving in First-Order Logic with Definitions, Arithmetic and Finite Domains

... Procedures for computing models of first-order logic formulas without background theories have a long tradition in automated reasoning. MACE-style model find- ing [CS03] utilizes translation into ...

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First-order logic learning in artificial neural networks

First-order logic learning in artificial neural networks

... first order logic rules based on a neuro-symbolic approach ...first order logic can promote a range of other applications including relational ...first order logic induction with ...

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Two-variable First-Order Logic with Counting in Forests

Two-variable First-Order Logic with Counting in Forests

... first-order logic with counting quantifiers and arbitrarily many unary and binary predicates, in which one distinguished predicate is interpreted as the mother-daughter relation in an unranked ...extended ...

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A Complete Cyclic Proof System for Inductive Entailments in First Order Logic

A Complete Cyclic Proof System for Inductive Entailments in First Order Logic

... (second) order logic, we do not impose syntactic restrictions on the form of the inductive definitions in the ...first-order logic and give several complexity upper bounds for the problem of ...

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Question Answering over Linked Data Using First order Logic

Question Answering over Linked Data Using First order Logic

... Markov Logic Networks (MLNs) (Richardson and Domingos, 2006), to learn a joint model for constructing structured queries from natural language ...first-order logic and Markov ...first-order ...

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DLS-Forgetter: An Implementation of the DLS Forgetting Calculus for First-Order Logic

DLS-Forgetter: An Implementation of the DLS Forgetting Calculus for First-Order Logic

... DLS-Forgetter is a reasoning tool that aims to compute restricted views of a knowl- edge base of first-order logic formulae via semantic forgetting. Semantic forgetting achieves this by eliminating ...

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Chinese Named Entity Abbreviation Generation Using First Order Logic

Chinese Named Entity Abbreviation Generation Using First Order Logic

... Markov logic to incor- porate both local features and global constraints that hold between temporal ...First-Order Logic (FOL) rules, into LDA inference to produce topics shaped by both the data and ...

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The First-Order Logic of Hyperproperties

The First-Order Logic of Hyperproperties

... The extension from LTL to HyperLTL has fundamentally changed the models of the logic. While a satisfiable LTL formula is guaranteed to have an ultimately periodic model, we have shown that there is no guarantee ...

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The Triguarded Fragment of First-Order Logic

The Triguarded Fragment of First-Order Logic

... Past research into decidable fragments of first-order logic ( FO ) has produced two very prominent fragments: the guarded fragment GF , and the two-variable fragment FO 2 . These fragments are of crucial ...

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Second order logic is logic

Second order logic is logic

... second-order logic is not entirely straightforward to ...second-order logic is not a settled ...as logic, what is being argued for here is that second-order logic, in its ...

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A formalisation of the theory of context-free languages in higher order logic

A formalisation of the theory of context-free languages in higher order logic

... Automated reasoning systems We are interested in a particular sub-field of au- tomated reasoning: Interactive Theorem Proving (ITP). Systems that are used to prove mathematical theorems are referred to as automated ...

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Relevant First-Order Logic LP# and Curry’s Paradox Resolution

Relevant First-Order Logic LP# and Curry’s Paradox Resolution

... relevant logic does notaccept an axiom scheme → (¬ → ) and the rule , ¬ ⊢ ...relevance logic if and do not have at least one propositional variable (sometimes called a proposition letter) in common and that ...

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