Possibility Semantics for First-Order Intuitionistic Logic
A Hybrid Intuitionistic Logic: Semantics and Decidability
... the intuitionistic connectives, the satisfaction of formulae at a place in a possible state follows the standard definition ...give semantics to a logical judgement, we allow models with more places than ...
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Logic programs with ordered disjunction: First-order semantics and expressiveness
... Abstract Logic programs with ordered disjunction (LPODs) (Brewka 2002) generalize normal logic programs by combining alter- native and ranked options in the heads of ...the first-order case, ...
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Kripke Semantics and Proof Systems for Combining Intuitionistic Logic and Classical Logic
... linear logic is that it generalizes the principles of Gentzen in terms of the conditions under which cut-elimination is ...The semantics of linear logic emphasize the interpretation of proofs as ...
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First-Order Stable Model Semantics and First-Order Loop Formulas
... the first-order stable model semantics by Ferraris et ...on first-order loop formulas by Chen et ...arbitrary first-order sentences, limiting attention to Herbrand stable ...
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A First-Order Logic with Frames
... Separation logic makes a different design ...the semantics of the formula is defined for models with given supports/heaplets, where the idea of a heaplet is whether it supports the truthhood of a formula ...
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The intended interpretation of the intuitionistic first order logical operators
... “In one particular case the chain of syllogisms is of a somewhat different kind, which seems to come nearer to the usual logical figures and which actually seems to presuppose the hypothetical judgement from ...
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The first-order hypothetical logic of proofs
... world semantics for first-order logic of ...Applied Logic, 165, 225–240, ...interactive logic. In Computer Science Logic, 16th International Workshop, CSL 2002, 11th ...
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How To Write Intuitionistic Logic
... Intuitionistic logic is originally a formalisation of a single mathematician whose knowl- edge increases over ...The logic IEC formalises multiple agents who communicate asyn- chronously and whose ...
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Augmenting Neural Networks with First order Logic
... On the other hand, we seek to retain the advan- tages of gradient-based learning without having to redesign the training scheme. To this end, we propose a framework that allows us to system- atically augment an existing ...
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Policy Monitoring in First-order Temporal Logic
... The applications we present come from the domain of security and com- pliance monitoring. An example, from financial reporting, is the requirement: Every transaction of a customer who has within the last 30 days been ...
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Evolutionary Concept Learning in First Order Logic
... the possibility of escaping from local optima, and their ability to cope well when there is interaction among arguments and when argu- ments are of different ...
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Intuitionistic semantics and the revision of logic
... fu n ctio n s in w hich it o ccu rs, w h ilst, on th e oth er we w ant to sa y th at the ty p e of th e variab le its e lf sh o w s w hy certain fu n ctio n s are n o n sen sica l w hen ap p lied to certa in argu m en ...
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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
... 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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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] ...
First Order vs Higher Order Modification in Distributional Semantics
... jective has on the meaning of the resulting modified nominal. Interestingly, recent approaches to the semantic composition of adjectives with nouns such as Baroni and Zamparelli (2010) and Guevara (2010) draw on the ...
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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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