First-Order Logic
First-order logic
... Whereas propositional logic assumes world contains facts, first-order logic (like natural language) assumes the world contains. • Objects: people, houses, numbers, theories, Ronald McDon[r] ...
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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 ...fact, ...
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The First-Order Logic of Hyperproperties
... to first-order logic F O[<] over the natural numbers with ...In order to formulate a corresponding “Kamp’s theorem for HyperLTL,” we have to decide how to encode sets of traces as relational ...
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Geometrisation of first order logic
... of first-order logic by Harrison [25], can be found at ...coherent logic deal only with coherent formulae and do not support transformation of arbitrary input formu- ...coherent logic, ...
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First-Order Logic A: Syntax
... • First-order logic (like natural language) assumes the world contains – Objects: people, houses, numbers, colors, baseball games, wars, … – Functions: father of, best friend, one more t[r] ...
A First-Order Logic with Frames
... novel logic, called Frame Logic (FL), that ex- tends first-order logic (with recursive definitions) using a construct Sp(·) that captures the implicit supports of formulas— the precise ...
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On Algebraization of Classical First Order Logic
... In 1956 P. R. Halmos introduced polyadic algebra to express first order logic algebraically. Polyadic algebra is an extension of Boolean algebra with operators corresponding to the usual existential ...
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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 ...
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Augmenting Neural Networks with First order Logic
... 6 Conclusions In this paper, we presented a framework for in- troducing constraints in the form of logical state- ments to neural networks. We demonstrated the process of converting first-order logic ...
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First-Order Logic and Some Existential Sentences
... Stephen K. McLeod University of Liverpool Abstract ‘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 ...
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Encoding TLA+ into Many-Sorted First-Order Logic
... on first-order reasoning and rewriting; Zenon, a tableau prover for first-order logic with equality that includes extensions for reasoning about sets and functions; and a decision ...
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First-order logic learning in artificial neural networks
... First-order Logic Learning in Artificial Neural Networks Mathieu Guillame-Bert, Krysia Broda and Artur d’Avila Garcez Abstract— Artificial Neural Networks have previously been applied in ...
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A Unified View of Induction Reasoning for First-Order Logic
... for first-order logic and compared differ- ent induction principles and inference systems that abstract computation in order to distile the induction reasoning from the implementation ...the ...
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Representing Game Dialogue as Expressions in First-Order Logic
... important first step may be to develop a means of representing in-game dialogue as logical ...as first-order logic predicates, demonstrates its equivalence with current dialogue authoring ...
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Automated Theorem Proving with Extensions of First-Order Logic
... of first-order theorem provers might be ...in first- order logic in a way that is efficient for automated ...on first-order provers, such as program verification tools and ...
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Two-variable First-Order Logic with Counting in Forests
... two-variable, 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 ...
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A Concise Sequent Calculus for Teaching First-Order Logic
... Berghofer. First-Order Logic According to ...for First-Order Logic. Tenth Scandinavian Logic Symposium (SLS 2018), ...
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Representing the Process of Machine Tool Calibration in First order Logic
... The work undertaken within this paper has described how to represent a simplified version of performing machine tool calibration by representing the parameters as logical facts in PROLOG, and then reasoning about those ...
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Gaifman normal forms for counting extensions of first-order logic
... of first-order logic by unary counting quantifiers FO(Q): it is a Boolean combination of (1) FO(Q)-properties of the neighbourhood of the free variables, (2) statements that express the existence of ...
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Computational Logic. First-Order Logic. Martin Baláº
... A formula is in negation normal form i if {¬, ∧, ∨} are are the only allowed connectives and literals are the only negated subformulas. A formula is in prenex normal form i it is of th[r] ...
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