Results 31 to 40 of about 1,681 (204)
Automata Linear Dynamic Logic on Finite Traces [PDF]
Temporal logics are widely used by the Formal Methods and AI communities. Linear Temporal Logic is a popular temporal logic and is valued for its ease of use as well as its balance between expressiveness and complexity.
Kevin W. Smith, Moshe Y. Vardi
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Guarded Second-Order Logic, Spanning Trees, and Network Flows [PDF]
According to a theorem of Courcelle monadic second-order logic and guarded second-order logic (where one can also quantify over sets of edges) have the same expressive power over the class of all countable $k$-sparse hypergraphs. In the first part of the
Achim Blumensath
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Aperiodicity, Star-freeness, and First-order Logic Definability of Operator Precedence Languages [PDF]
A classic result in formal language theory is the equivalence among non-counting, or aperiodic, regular languages, and languages defined through star-free regular expressions, or first-order logic.
Dino Mandrioli +2 more
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Decidability Results for the Boundedness Problem [PDF]
We prove decidability of the boundedness problem for monadic least fixed-point recursion based on positive monadic second-order (MSO) formulae over trees.
Achim Blumensath +2 more
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Connection Matrices and the Definability of Graph Parameters [PDF]
In this paper we extend and prove in detail the Finite Rank Theorem for connection matrices of graph parameters definable in Monadic Second Order Logic with counting (CMSOL) from B. Godlin, T. Kotek and J.A. Makowsky (2008) and J.A. Makowsky (2009).
Tomer Kotek, Johann A. Makowsky
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Asymptotic Monadic Second-Order Logic [PDF]
In this paper we introduce so-called asymptotic logics, logics that are meant to reason about weights of elements in a model in a way inspired by topology. Our main subject of study is Asymptotic Monadic Second-Order Logic over infinite words. This is a logic talking about ω-words labelled by integers.
Achim Blumensath +2 more
openaire +1 more source
A model-theoretic characterization of monadic second-order logic on infinite words [PDF]
Monadic second order logic and linear temporal logic are two logical formalisms that can be used to describe classes of infinite words, i.e., first-order models based on the natural numbers with order, successor, and finitely many unary predicate symbols.
S. Ghilardi +3 more
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Undecidable Cases of Model Checking Probabilistic Temporal-Epistemic Logic (Extended Abstract) [PDF]
We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.
R van der Meyden, M K Patra
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Bisimulation in Inquisitive Modal Logic [PDF]
Inquisitive modal logic, InqML, is a generalisation of standard Kripke-style modal logic. In its epistemic incarnation, it extends standard epistemic logic to capture not just the information that agents have, but also the questions that they are ...
Ivano Ciardelli, Martin Otto
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On regular languages over power sets
The power set of a finite set is used as the alphabet of a string interpreting a sentence of Monadic Second-Order Logic so that the string can be reduced (in a straightforward way) to the symbols occurring in the sentence.
Tim Fernando
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