Monadic second order logic
Graph Decompositions and Monadic Second Order Logic
... in monadic second order logic could be solved in linear time on graphs with tree width less than or equal to ...of monadic second order logic is decidable for the ...
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Weak Monadic Second-Order Logic on Infinitely Branching Trees
... 6 Translating Automata to WMSO-Formulae on Finitely Branching Trees In [Rab70], Michael O. Rabin published the proof of the equivalence between weak monadic second-order logic over binary ...
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Monadic Second Order Finite Satisfiability and Unbounded Tree-Width
... weak monadic second order ...weak monadic second order X 1 and X 2 are quantified to be finite sets, B is axiomatized to be a function with finite domain, and W dom and W img are ...
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Special tree-width and the verification of monadic second-order graph pr operties
... for monadic second-order logic on graphs is fixed-parameter tractable with respect to tree-width and ...from monadic second-order sentences, but this produces automata of ...
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MoL 2012 08: Expressiveness of Monadic Second Order Logics on Infinite Trees of Arbitrary Branching Degree
... a logic that corresponds to weak ...well-founded monadic second-order logic ...of second-order quantifiers, that are restricted to range over subsets of well-founded trees ...
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The Growth Rate Over Trees Of Any Family Of Sets Defined By A Monadic Second Order Formula Is Semi-computable
... lim sup n→∞ G∈G,|G|=n max |F (G)|. The result from Rote implies that the growth rate of the number of minimal dominating sets over trees is 95 13 1 . On the other hand, Golovach et al. computed the growth rate of some ...
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Capturing k-ary existential second order logic with k-ary inclusion–exclusion logic
... the expressive power of ESO[k]. In particular, by using only unary inclusion and exclusion atoms we get the expressive power of existential monadic second order logic, EMSO. This special case ...
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2. Second-order Logic versus First-order Logic
... of second-order logic, one can obtain categorical theories of arithmetic and analysis in second-order logic, whereas that is impossible in first-order ...
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Second order logic : ontological and epistemological problems
... first-order logic is not decidable. Monadic first-order logic, however, ...On Second-Order Logic why the emphasis is always made on completeness, when decidability ...
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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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Space and Circuit Complexity of Monadic Second-Order Definable Problems on Tree-Decomposable Structures. Michael Elberfeld
... mathematical logic are intimately ...Mathematical logic is concerned with understanding the interplay between properties of logical structures like graphs and formulæ that describe such ...mathematical ...
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Second Position Clitics and Monadic Second Order Transduction
... 2 Second position clitics and prosodic constituency 2.1 Second position An intuitive account of the syntax of 2P clitics 2 has been known since Wackernagel ...
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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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A Subjective Logic Library Constructed Using Monadic Higher Order Functions
... Now imagine two sensors designed to measure two orthogonal properties of baby guinea pigs. Before they reach a certain age, male guinea pigs must be separated from their mothers (and sisters) because they reach sexual ...
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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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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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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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Existential Second-order Logic over Graphs: A Complete Complexity-theoretic Classification
... existential second-order logic (eso logic) if, and only if, it is in NP ...eso logic also still characterize NP ...eso logic, its reduction closure under first-order ...
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