Standard Semantics for Second-Order Logic
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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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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Second-Order Modal Logic
... with second-order quantifiers will require there to be entities which can be the values of the second-order variables of ...of second-order quantifiers need not be committed to ...
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Algorithmic Metatheorems for Second-Order Logic
... § E k ˚ , E ˚ : represent existential quantification of an arbi- trary number of k -ary (arbitrary) relations § e : represents existential first-order quantification § a : represents universal first-order ...
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Second-order type isomorphisms through game semantics
... partial order on strategies (which will simply be the inclusion of ...interpret second-order Idealized Algol [3] and to characterize type isomorphisms in this system by a similar equational ...
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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 ...classical second-order ...
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Second order logic : ontological and epistemological problems
... mismatch between the original system and the new one. Let us say we have two deductive systems, X and Y . X is traditionally thought to capture a certain class of logical inferences. The new system Y is suggested because ...
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Quantum Probabilistic Dyadic Second-Order Logic
... quantum logic and quantum computation are [3,8], and [9, Chapter ...The logic we propose in the following sections—dyadic second-order quantum logic—is fit to deal with multi-partite ...
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Graph Decompositions and Monadic Second Order Logic
... monadic second order logic could be solved in linear time on graphs with tree width less than or equal to ...monadic second order logic is decidable for the class of graphs with ...
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CSP representation of game semantics for second order idealized Algol
... The Warwick Research Archive Portal (WRAP) makes this work by researchers of the University of Warwick available open access under the following conditions. Copyright © and all moral r[r] ...
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Quine and Boolos on second-order logic : an examination of the debate
... second-order logic to be inclusive of set ...Higher-order logic, as Quine sees it, is set theory so the notion of set-theoretic truth will be applicable to it rather than the logical ...
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Quine and Boolos on second order logic : an examination of the debate
... f Logic, where Quine placed more emphasis on showing implications directly by a method of natural deduction, where it might have made more sense to prove the strong completeness theorem, the form of completeness ...
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A Decidable Fragment of Second Order Logic With Applications to Synthesis
... our logic is to express synthesis ...(first order and second order) can be used to model program ...our logic allows second-order universal quantification over functions, ...
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Weak Monadic Second-Order Logic on Infinitely Branching Trees
... 2 Preliminaries Let us start with giving some definitions that will be used for this thesis. We define trees first and then specify the logic to talk about them. Further we introduce parity automata, as well as ...
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Rewriting Logic Semantics of Orc
... execution semantics, in which a configuration is not allowed to advance its time unless it reaches a state where no internal or external action, other than a time tick, can be ...this semantics, an Orc ...
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Program Semantics and Classical Logic
... type logic itself then can function as a kind of universal specifi- cation language in the design of programming languages: In order to specify the intended semantics of some construct, the language ...
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Capturing k-ary existential second order logic with k-ary inclusion–exclusion logic
... any logic with team semantics, since the splitting of the team when evaluating disjunctions tends to lose ...other logic with team semantics – such as dependence ...
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A Hybrid Intuitionistic Logic: Semantics and Decidability
... the standard definition [20]. To give semantics to a logical judgement, we allow models with more places than those men- tioned in the ...Kripke semantics reveals that the extended logic can ...
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Semantics of Input-Consuming Logic Programs
... In order to do so, we need a declar- ative way of modeling construct such as delay declarations: for this we restrict our attention to input-consuming ...the standard mode for the program APPEND when used ...
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Explicit second person subjects in Russian imperatives: semantics, word order, and a comparison with English
... 21 Boundary for significance: χ² > 3,8. 22 The particles už and a are somewhat different from že or da, because they lack the feature of emphasis of the directive speech act, for example in a context where the speaker ...
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