We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Abstract. Iterated schemata allow to define infinite languages of propositional formulae through formulae patterns. Formally, schemata extend propositional logic with new (generali...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...