First order logic and (the lack of) plural predication
2. Second-order Logic versus First-order Logic
... in order to make the experiment the physicist has to presuppose the validity of other unquestioned underlying physical laws and, hence, it is not excluded that one or more of such underlying laws are re- sponsible ...
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The First-Order Logic of Hyperproperties
... 5 Conclusion and Discussion 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 ...
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Geometrisation of first order logic
... every first-order theory has a coherent conservative extension is regarded by some as obvious, even trivial, and by others as not at all obvious, but instead remarkable and valuable; the result is in any ...
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A First-Order Logic with Frames
... separation logic, the corresponding rules for weakest preconditions are often expressed using separat- ing implication (the magic-wand ...second order quantification. In our logic, we show that we ...
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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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Part 2: First-Order Logic
... consider first the propositional level: Construct a candidate model I N as for unrestricted resolution, except that clauses C in N that have selected literals are not productive, even when they are false in I C ...
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The first-order hypothetical logic of proofs
... for first-order logic of ...Applied Logic, 165, 225–240, ...interactive logic. In Computer Science Logic, 16th International Workshop, CSL 2002, 11th Annual Conference of the ...
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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 First Order Predicate Logic (FOPL)
... propositional logic, we just have three symbols P, Q and R available with us and apparently no link or connection to the original statements or to each ...Propositional Logic, there is no way, to conclude ...
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Logic: first-order modus ponens
... for first-order logic even restricted to Horn clauses is semi-decidable, which means that if a formula is entailed, then we will be able to derive it, but if it is not entailed, then we don’t even ...
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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
... Today, the dominant paradigm for training neural networks involves minimizing task loss on a large dataset. Using world knowledge to inform a model, and yet retain the ability to perform end-to-end training remains an ...
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First Order Predicate Logic and Horn Clauses
... Máme-li formuli, která obsahuje nějaké volné proměnné, tak vyhodnocení pravdivosti či nepravdivosti v dané interpretaci můžeme provést pouze v závislosti na valuaci (ohodnocen[r] ...
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First-Order Logic and Some Existential Sentences
... of first-order quantification can accept as true such sentences as ‘Some purported things do not exist’ and ‘Some characters in works of fiction do not exist’: to do so does not entail commitment to ...
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Policy Monitoring in First-order Temporal Logic
... like first-order extensions of LTL and different real-time extensions [4] have also been used to formalize [8, 19, 24, 28, 29, 31, 51] and to reason about [8, 14, 19, 20] system ...
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Evolutionary Concept Learning in First Order Logic
... Depending on the representation used, two ma- jor approaches are used: the Pittsburgh and the Michigan approach, so called because they were first introduced by research groups at the Pitts- burgh’s and Michigan’s ...
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First-Order Disjunctive Logic Programming vs Normal Logic Programming
... Theorem 2 enables us to develop a sound yet incomplete first-order disjunctive ASP solver by calling an NLP solver. The basic idea is to perform the unfolding operation for some rules in a given disjunctive ...
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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 µ-calculus with explicit approximations; one of them integrates local term-based induction rules, while the other lacks such induction ...classical first-order sequent calculus ...
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