Jul 26, 2023 · True understanding of how logical systems work involves numbers and counting from manipulating syntax to proofs by formula induction, but also ...
We begin with a brief review of by changing the semantics of counting in natural ways. A first approach replaces cardinalities by abstract but well-motivated ...
INTERLEAVING LOGIC AND COUNTING · J. V. Benthem, Thomas F. Icard · Published in Bulletin of Symbolic Logic 26 July 2023 · Mathematics, Computer Science.
Oct 22, 2024 · Abstract. Reasoning with quantifier expressions in natural language combines logical and arithmetical features, transcending strict divides ...
The interleaving operator provides a succinct notation for describ- ing the absence of order between nodes satisfying a logical property. We provide a logic- ...
Oct 3, 2021 · We start with monadic first-order logic with counting. We provide normal forms that allow for axiomatization, determine which arithmetical ...
Jul 21, 2011 · Interleaving and Counting are Closely Related. The logic supports a (restricted) form of interleaving occurring in schemas. (where interleaved ...
INTERLEAVING LOGIC AND COUNTING. Type: Article; Title: INTERLEAVING LOGIC AND COUNTING; Authors: JOHAN VAN BENTHEM and THOMAS ICARD; Journal: Bulletin of ...
Here, the authors study a wide range of schema languages, and show that the addition of interleaving and counting oper- ators raises the complexity of inclusion ...
This paper studies the action of decimation and interleaving operations acting on sets X in the framework of symbolic dynamics and coding theory.