Abstract. We study the relationship between the infinitary logic L ω∞ω with finitely many variables and implicit definability in effective fragments of L ω∞ω on ...
Abstract. We study the relationship between the infinitary logic L~ with finitely many variables and implicit definability in effective frag-.
Dawar, A., Hella, L., & Kolaitis, P. (1995). Implicit definability and infinitary logic in finite model theory. In Proceedings of 22th International Colloquium ...
Sep 25, 2019 · Anuj Dawar , Lauri Hella , Phokion G. Kolaitis: Implicit Definability and Infinitary Logic in Finite Model Theory. ICALP 1995: 624-635.
Model theory is the study of mathematical structures like graphs, sets, algebras, et.c through the lens of logic. Finite model theory is the study of finite ...
Missing: Implicit Infinitary
infinitary logic by the following rule: If ϕ is a formula and ℓ ≥ 1, then ... Implicit and Explicit Definability. Let L be any logic considered so far ...
The infinitary logic L∞ω is the extension of first-order logic that results by allowing infinite disjunctions and conjunctions in the syntax, while keeping ...
Hence, questions of definability in first-order logic are much more meaning- ful when one talks about classes of finite structures rather that an individual.
The infinitary logic ℒ ω ∞ω consists of all formulas of ℒ∞ω with a finite number of variables. During the past several years, the study of ℒ ω ∞ω has ...
Finite model theory studies the expressive power of logical languages over collec- tions of finite structures. Over the past few decades, deep connections ...